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Schork, Matthias

Co-Author Distance
Author ID:
schork.matthias Recent zbMATH articles by "Schork, Matthias"
Published as:
Schork, Matthias;Schork, M.
External Links:
MGP ·ResearchGate ·Math-Net.Ru ·dblp
Documents Indexed:

61 Publications since 2000, including1 Book

alltop 5

Serials

6 Journal of Mathematical Physics
5 Journal of Physics A: Mathematical and General
4 Journal of Combinatorics and Number Theory
3 Russian Journal of Mathematical Physics
3 Advanced Studies in Contemporary Mathematics (Kyungshang)
2 Discrete Applied Mathematics
2 Physics Letters. A
2 Journal of Integer Sequences
2 Central European Journal of Mathematics
2 Journal of Physics A: Mathematical and Theoretical
1 International Journal of Modern Physics A
1 Discrete Mathematics
1 International Journal of Theoretical Physics
1 Letters in Mathematical Physics
1 Applied Mathematics and Computation
1 Mathematica Slovaca
1 Quaestiones Mathematicae
1 Acta Applicandae Mathematicae
1 Applied Mathematics Letters
1 Indagationes Mathematicae. New Series
1 The Australasian Journal of Combinatorics
1 PU.M.A. Pure Mathematics and Applications
1 Advances in Applied Clifford Algebras
1 The Electronic Journal of Combinatorics
1 Notes on Number Theory and Discrete Mathematics
1 Journal of Difference Equations and Applications
1 Journal of Mathematical Chemistry
1 The Ramanujan Journal
1 Journal of Automata, Languages and Combinatorics
1 Annals of Combinatorics
1 Journal of Applied Algebra and Discrete Structures
1 MATCH - Communications in Mathematical and in Computer Chemistry
1 Mediterranean Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 International Journal of Contemporary Mathematical Sciences
1 Online Journal of Analytic Combinatorics
1 Mathematics in Computer Science
1 Discrete Mathematics and its Applications
1 Enumerative Combinatorics and Applications

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 392 times in233 DocumentsCited by ▼Year ▼
Commutation relations, normal ordering, and Stirling numbers. Zbl 1335.05001
Mansour, Toufik;Schork, Matthias
2016
The vertex PI index and Szeged index of bridge graphs. Zbl 1182.92073
Mansour, Toufik;Schork, Matthias
2009
On a new family of generalized Stirling and Bell numbers. Zbl 1217.05030
Mansour, Toufik;Schork, Matthias;Shattuck, Mark
2011
On the combinatorics of normal ordering bosonic operators and deformations of it. Zbl 1057.81043
Schork, Matthias
2003
The PI index of bridge and chain graphs. Zbl 1199.05094
Mansour, Toufik;Schork, Matthias
2009
The generalized Stirling and Bell numbers revisited. Zbl 1294.05017
Mansour, Toufik;Schork, Matthias;Shattuck, Mark
2012
Ward’s “calculus of sequences”, \(q\)-calculus and the limit \(q\to-1\). Zbl 1111.05010
Schork, Matthias
2006
Umbral calculus and Sheffer sequences of polynomials. Zbl 1285.05015
Kim, Taekyun;Kim, Dae San;Mansour, Toufik;Rim, Seog-Hoon;Schork, Matthias
2013
The commutation relation \(xy=qyx+hf(y)\) and Newton’s binomial formula. Zbl 1226.05028
Mansour, Toufik;Schork, Matthias
2011
Motzkin numbers of higher rank: generating function and explicit expression. Zbl 1141.05308
Mansour, Toufik;Schork, Matthias;Sun, Yidong
2007
A generalization of boson normal ordering. Zbl 1203.81084
Mansour, Toufik;Schork, Matthias;Severini, Simone
2007
Wick’s theorem for \(q\)-deformed boson operators. Zbl 1117.81083
Mansour, Toufik;Schork, Matthias;Severini, Simone
2007
Wiener, hyper-Wiener, detour and hyper-detour indices of bridge and chain graphs. Zbl 1379.92077
Mansour, Toufik;Schork, Matthias
2010
Normal ordering \(q\)-bosons and combinatorics. Zbl 1398.81131
Schork, M.
2006
The PI index of polyomino chains of \(4k\)-cycles. Zbl 1203.05044
Mansour, Toufik;Schork, Matthias
2010
On linear differential equations involving a para-Grassmann variable. Zbl 1193.34013
Mansour, Toufik;Schork, Matthias
2009
On the normal ordering of multi-mode Boson operators. Zbl 1175.81147
Mansour, T.;Schork, M.
2008
Combinatorial aspects of normal ordering and its connection to \(q\)-calculus. Zbl 1141.05019
Schork, Matthias
2007
Some algebraical, combinatorial and analytical properties of paragrassmann variables. Zbl 1088.81510
Schork, Matthias
2005
The generalized Touchard polynomials revisited. Zbl 1301.11028
Mansour, Toufik;Schork, Matthias
2013
On linear differential equations with variable coefficients involving a para-Grassmann variable. Zbl 1310.35071
Mansour, Toufik;Schork, Matthias
2010
A representation of the \(q\)-fermionic commutation relations and the limit \(q=1\). Zbl 1200.81090
Schork, M.
2005
Recent developments in combinatorial aspects of normal ordering. Zbl 1499.05045
Schork, Matthias
2021
Wilf classification of subsets of four letter patterns. Zbl 1358.05016
Mansour, Toufik;Schork, Matthias
2016
Generalized Heisenberg algebras and \(k\)-generalized Fibonacci numbers. Zbl 1115.81042
Schork, Matthias
2007
On the Stirling numbers associated with the meromorphic Weyl algebra. Zbl 1251.05009
Mansour, Toufik;Schork, Matthias;Shattuck, Mark
2012
Wilf classification of subsets of eight and nine four-letter patterns. Zbl 1377.05010
Mansour, Toufik;Schork, Matthias
2016
Representing elements of the Weyl algebra by labeled trees. Zbl 1280.81075
Asakly, Walaa;Mansour, Toufik;Schork, Matthias
2013
Generalized \(bc\)-systems based on Hermitian vector bundles. Zbl 0974.32012
Schork, Matthias
2000
Fermionic relatives of Stirling and Lah numbers. Zbl 1045.81583
Schork, Matthias
2003
Normal ordering problem and the extensions of the Stirling grammar. Zbl 1311.81189
Ma, S.-M.;Mansour, T.;Schork, M.
2014
Wilf classification of subsets of six and seven four-letter patterns. Zbl 1471.05008
Mansour, Toufik;Schork, Matthias
2017
On the correlation functions of the vector bundle generalization of the \(bc\)-system. Zbl 1012.81046
Schork, Matthias
2001
On \(q\)-deformed generalized Touchard polynomials. Zbl 1339.11034
Mansour, Toufik;Schork, Matthias
2015
Noncrossing normal ordering for functions of boson operators. Zbl 1184.81092
Mansour, Toufik;Schork, Matthias;Severini, Simone
2008
The \(r\)-generalized Fibonacci numbers and polynomial coefficients. Zbl 1221.11044
Schork, Matthias
2008
Some remarks on duality triads. Zbl 1102.11010
Schork, Matthias
2006
Permutation patterns and cell decompositions. Zbl 1462.05023
Mansour, Toufik;Schork, Matthias
2019
The \(bc\)-system of higher rank revisited. Zbl 1026.81049
Schork, Matthias
2002
Protected cells in bargraphs. Zbl 1419.05113
Mansour, Toufik;Schork, Matthias;Yaqubi, Daniel
2019
Normal ordering in the shift algebra and the dual of Spivey’s identity. Zbl 1523.11047
Schork, Matthias
2023
File placements, fractional matchings, and normal ordering. Zbl 1503.05007
Schork, Matthias
2022
A note on families of \(bc\)-systems of higher rank. Zbl 1097.14506
Schork, Matthias
2001
Generalized Bell numbers and algebraic differential equations. Zbl 1289.05012
Mansour, Toufik;Schork, Matthias
2012
On a close relative of the quantum plane. Zbl 1391.05017
Mansour, Toufik;Schork, Matthias
2018
On the differential equation of first and second order in the Zeon algebra. Zbl 1460.05201
Mansour, Toufik;Schork, Matthias
2021
On coalescence of fermions on Riemann surfaces. Zbl 1010.81063
Schork, Matthias
2000
On the recursion relation of Motzkin numbers of higher rank. Zbl 1130.05004
Schork, Matthias
2007
On the second order differential equation involving two ordinary and one para-Grassmann variable. Zbl 1442.35070
Mansour, Toufik;Schork, Matthias
2020
On a generalization of duality triads. Zbl 1099.05008
Schork, Matthias
2006
Catalan numbers and pattern restricted set partitions. Zbl 1251.05013
Mansour, Toufik;Schork, Matthias;Shattuck, Mark
2012
Normal ordering in the shift algebra and the dual of Spivey’s identity. Zbl 1523.11047
Schork, Matthias
2023
File placements, fractional matchings, and normal ordering. Zbl 1503.05007
Schork, Matthias
2022
Recent developments in combinatorial aspects of normal ordering. Zbl 1499.05045
Schork, Matthias
2021
On the differential equation of first and second order in the Zeon algebra. Zbl 1460.05201
Mansour, Toufik;Schork, Matthias
2021
On the second order differential equation involving two ordinary and one para-Grassmann variable. Zbl 1442.35070
Mansour, Toufik;Schork, Matthias
2020
Permutation patterns and cell decompositions. Zbl 1462.05023
Mansour, Toufik;Schork, Matthias
2019
Protected cells in bargraphs. Zbl 1419.05113
Mansour, Toufik;Schork, Matthias;Yaqubi, Daniel
2019
On a close relative of the quantum plane. Zbl 1391.05017
Mansour, Toufik;Schork, Matthias
2018
Wilf classification of subsets of six and seven four-letter patterns. Zbl 1471.05008
Mansour, Toufik;Schork, Matthias
2017
Commutation relations, normal ordering, and Stirling numbers. Zbl 1335.05001
Mansour, Toufik;Schork, Matthias
2016
Wilf classification of subsets of four letter patterns. Zbl 1358.05016
Mansour, Toufik;Schork, Matthias
2016
Wilf classification of subsets of eight and nine four-letter patterns. Zbl 1377.05010
Mansour, Toufik;Schork, Matthias
2016
On \(q\)-deformed generalized Touchard polynomials. Zbl 1339.11034
Mansour, Toufik;Schork, Matthias
2015
Normal ordering problem and the extensions of the Stirling grammar. Zbl 1311.81189
Ma, S.-M.;Mansour, T.;Schork, M.
2014
Umbral calculus and Sheffer sequences of polynomials. Zbl 1285.05015
Kim, Taekyun;Kim, Dae San;Mansour, Toufik;Rim, Seog-Hoon;Schork, Matthias
2013
The generalized Touchard polynomials revisited. Zbl 1301.11028
Mansour, Toufik;Schork, Matthias
2013
Representing elements of the Weyl algebra by labeled trees. Zbl 1280.81075
Asakly, Walaa;Mansour, Toufik;Schork, Matthias
2013
The generalized Stirling and Bell numbers revisited. Zbl 1294.05017
Mansour, Toufik;Schork, Matthias;Shattuck, Mark
2012
On the Stirling numbers associated with the meromorphic Weyl algebra. Zbl 1251.05009
Mansour, Toufik;Schork, Matthias;Shattuck, Mark
2012
Generalized Bell numbers and algebraic differential equations. Zbl 1289.05012
Mansour, Toufik;Schork, Matthias
2012
Catalan numbers and pattern restricted set partitions. Zbl 1251.05013
Mansour, Toufik;Schork, Matthias;Shattuck, Mark
2012
On a new family of generalized Stirling and Bell numbers. Zbl 1217.05030
Mansour, Toufik;Schork, Matthias;Shattuck, Mark
2011
The commutation relation \(xy=qyx+hf(y)\) and Newton’s binomial formula. Zbl 1226.05028
Mansour, Toufik;Schork, Matthias
2011
Wiener, hyper-Wiener, detour and hyper-detour indices of bridge and chain graphs. Zbl 1379.92077
Mansour, Toufik;Schork, Matthias
2010
The PI index of polyomino chains of \(4k\)-cycles. Zbl 1203.05044
Mansour, Toufik;Schork, Matthias
2010
On linear differential equations with variable coefficients involving a para-Grassmann variable. Zbl 1310.35071
Mansour, Toufik;Schork, Matthias
2010
The vertex PI index and Szeged index of bridge graphs. Zbl 1182.92073
Mansour, Toufik;Schork, Matthias
2009
The PI index of bridge and chain graphs. Zbl 1199.05094
Mansour, Toufik;Schork, Matthias
2009
On linear differential equations involving a para-Grassmann variable. Zbl 1193.34013
Mansour, Toufik;Schork, Matthias
2009
On the normal ordering of multi-mode Boson operators. Zbl 1175.81147
Mansour, T.;Schork, M.
2008
Noncrossing normal ordering for functions of boson operators. Zbl 1184.81092
Mansour, Toufik;Schork, Matthias;Severini, Simone
2008
The \(r\)-generalized Fibonacci numbers and polynomial coefficients. Zbl 1221.11044
Schork, Matthias
2008
Motzkin numbers of higher rank: generating function and explicit expression. Zbl 1141.05308
Mansour, Toufik;Schork, Matthias;Sun, Yidong
2007
A generalization of boson normal ordering. Zbl 1203.81084
Mansour, Toufik;Schork, Matthias;Severini, Simone
2007
Wick’s theorem for \(q\)-deformed boson operators. Zbl 1117.81083
Mansour, Toufik;Schork, Matthias;Severini, Simone
2007
Combinatorial aspects of normal ordering and its connection to \(q\)-calculus. Zbl 1141.05019
Schork, Matthias
2007
Generalized Heisenberg algebras and \(k\)-generalized Fibonacci numbers. Zbl 1115.81042
Schork, Matthias
2007
On the recursion relation of Motzkin numbers of higher rank. Zbl 1130.05004
Schork, Matthias
2007
Ward’s “calculus of sequences”, \(q\)-calculus and the limit \(q\to-1\). Zbl 1111.05010
Schork, Matthias
2006
Normal ordering \(q\)-bosons and combinatorics. Zbl 1398.81131
Schork, M.
2006
Some remarks on duality triads. Zbl 1102.11010
Schork, Matthias
2006
On a generalization of duality triads. Zbl 1099.05008
Schork, Matthias
2006
Some algebraical, combinatorial and analytical properties of paragrassmann variables. Zbl 1088.81510
Schork, Matthias
2005
A representation of the \(q\)-fermionic commutation relations and the limit \(q=1\). Zbl 1200.81090
Schork, M.
2005
On the combinatorics of normal ordering bosonic operators and deformations of it. Zbl 1057.81043
Schork, Matthias
2003
Fermionic relatives of Stirling and Lah numbers. Zbl 1045.81583
Schork, Matthias
2003
The \(bc\)-system of higher rank revisited. Zbl 1026.81049
Schork, Matthias
2002
On the correlation functions of the vector bundle generalization of the \(bc\)-system. Zbl 1012.81046
Schork, Matthias
2001
A note on families of \(bc\)-systems of higher rank. Zbl 1097.14506
Schork, Matthias
2001
Generalized \(bc\)-systems based on Hermitian vector bundles. Zbl 0974.32012
Schork, Matthias
2000
On coalescence of fermions on Riemann surfaces. Zbl 1010.81063
Schork, Matthias
2000
alltop 5

Cited by 302 Authors

36 Mansour, Toufik
28 Kim, Taekyun
25 Schork, Matthias
12 Kim, Dae San
11 Shattuck, Mark A.
8 Rim, Seog-Hoon
7 Bian, Qiuju
7 Ma, Gang
6 Wang, Jianfeng
5 Ashrafi, Ali Reza
5 Djinja, Domingos
5 Ramírez, José Luis
5 Silvestrov, Sergei D.
5 Simsek, Yilmaz
5 Tumwesigye, Alex Behakanira
3 Kandan, P.
3 Kucukoglu, Irem
3 Lee, Byungje
3 Xu, Aimin
3 Yarahmadi, Zahra
2 Algin, Abdullah
2 Araci, Serkan
2 Baril, Jean-Luc
2 Bényi, Beáta
2 Bilotta, Stefano
2 Braha, Naim Latif
2 Brennan, Charlotte Alix
2 Cangul, Ismail Naci
2 Corcino, Roberto Bagsarsa
2 Diudea, Mircea V.
2 Dolgiĭ, Dmitriĭ Viktorovich
2 Došlić, Tomislav
2 Dzhumadil’daev, Askar Serkulovich
2 Fath-Tabar, Gholam Hossein
2 Gómez González, Esteban
2 Gonzales, Ken Joffaniel M.
2 Gutman, Ivan M.
2 Herscovici, Orli
2 Hwang, Kyung-Won
2 Kirgizov, Sergey
2 Knopfmacher, Arnold
2 Lopes, Samuel A.
2 Ma, Shi-Mei
2 Masjed-Jamei, Mohammad
2 Meljanac, Stjepan
2 Mező, István
2 Moon, Eun Jung
2 Nadjafi-Arani, Mohammad Javad
2 Nyul, Gábor
2 Oussi, Lahcen
2 Ozden, Hacer
2 Park, Jin Woo
2 Park, Kyoung Ho
2 Pinzani, Renzo
2 Pita-Ruiz, Claudio
2 Plaza Martín, Francisco José
2 Qi, Feng
2 Raina, Ashok K.
2 Rajesh, P.
2 Schlosser, Michael J.
2 Schreiber, Alfred
2 Seo, Jongjin
2 Severini, Simone
2 Shabani, Armend Shaban
2 Triana, Juan
2 Vajnovszki, Vincent
2 Xing, Rundan
2 Yeliussizov, Damir
2 Yoo, Meesue
2 Zhou, Bo
1 Abdelghafour, Bazeniar
1 Acikgoz, Mehmet
1 Afzal Siddiqui, Hafiz Muhammad
1 Agapito, José
1 Ahmad, Sarfraz
1 Ahmia, Moussa
1 Ali, Ali A.
1 Ali, Muhammad Arfan
1 Alikhani, Saeid
1 Alpay, Daniel Aron
1 Angeloni, Laura
1 Archibald, Margaret
1 Arnóczki, Tímea
1 Arslan, Emine
1 Asakly, Walaa
1 Baig, Abdul Qudair
1 Barrese, Kenneth
1 Bean, Christian
1 Beauduin, Kei
1 Belbachir, Hacene
1 Belovas, Igoris
1 Bernini, Antonio
1 Beyki, M. R.
1 Biswas, Indranil
1 Blasiak, Pawel
1 Blecher, Aubrey
1 Bojičić, Radica
1 Borowiec, Andrzej Zdzisław
1 Borzov, Vadim V.
1 Brádler, Kamil
...and 202 more Authors
alltop 5

Cited in 106 Serials

11 Discrete Applied Mathematics
10 Journal of Mathematical Physics
8 Applied Mathematics and Computation
8 Russian Journal of Mathematical Physics
8 Advances in Difference Equations
7 The Electronic Journal of Combinatorics
6 Discrete Mathematics
6 Journal of Integer Sequences
5 Physics Letters. A
5 Advances in Applied Mathematics
5 Abstract and Applied Analysis
4 Journal of Number Theory
4 Applied Mathematics Letters
4 Journal of Inequalities and Applications
4 Enumerative Combinatorics and Applications
3 International Journal of Theoretical Physics
3 European Journal of Combinatorics
3 Filomat
3 Journal of Discrete Mathematical Sciences & Cryptography
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 DML. Discrete Mathematics Letters
2 Journal of Mathematical Analysis and Applications
2 Periodica Mathematica Hungarica
2 Journal of Geometry and Physics
2 Mathematica Slovaca
2 Acta Applicandae Mathematicae
2 Linear Algebra and its Applications
2 Indagationes Mathematicae. New Series
2 The Australasian Journal of Combinatorics
2 Advances in Applied Clifford Algebras
2 Journal of Difference Equations and Applications
2 Journal of Mathematical Chemistry
2 The Ramanujan Journal
2 Journal of Automata, Languages and Combinatorics
2 Acta et Commentationes Universitatis Tartuensis de Mathematica
2 Integers
2 Central European Journal of Mathematics
2 Journal of the Indonesian Mathematical Society
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Mathematics in Computer Science
2 Journal of Physics A: Mathematical and Theoretical
2 Iranian Journal of Mathematical Chemistry
2 Open Mathematics
1 Bulletin of the Australian Mathematical Society
1 Computer Physics Communications
1 Information Processing Letters
1 Letters in Mathematical Physics
1 Matimyás Matematika
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
1 Advances in Mathematics
1 Czechoslovak Mathematical Journal
1 Demonstratio Mathematica
1 Journal of Approximation Theory
1 Journal of Combinatorial Theory. Series A
1 Journal of Functional Analysis
1 Journal of Pure and Applied Algebra
1 Journal of Statistical Planning and Inference
1 Proceedings of the American Mathematical Society
1 Quaestiones Mathematicae
1 Revista Colombiana de Matemáticas
1 Ricerche di Matematica
1 Bulletin of the Iranian Mathematical Society
1 Journal of Symbolic Computation
1 Mathematical and Computer Modelling
1 International Journal of Mathematics
1 Aequationes Mathematicae
1 Glasnik Matematički. Serija III
1 SIAM Review
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 New Zealand Journal of Mathematics
1 Journal of Algebraic Combinatorics
1 Integral Transforms and Special Functions
1 Matematychni Studiï
1 Annals of Combinatorics
1 Lobachevskii Journal of Mathematics
1 Annales Mathematicae Silesianae
1 Journal of Applied Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Quantum Information Processing
1 MATCH - Communications in Mathematical and in Computer Chemistry
1 Mediterranean Journal of Mathematics
1 Contributions to Discrete Mathematics
1 Acta Mechanica Sinica
1 Journal of Mathematical Inequalities
1 Journal of Nonlinear Science and Applications
1 Cryptography and Communications
1 Science China. Mathematics
1 Journal of Mathematics and Computer Science. JMCS
1 Revista Integración
1 Analysis and Mathematical Physics
1 Afrika Matematika
1 Communications in Mathematics
1 Axioms
...and 6 more Serials
alltop 5

Cited in 35 Fields

150 Combinatorics (05-XX)
106 Number theory (11-XX)
32 Quantum theory (81-XX)
25 Special functions (33-XX)
20 Biology and other natural sciences (92-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
11 Associative rings and algebras (16-XX)
8 Nonassociative rings and algebras (17-XX)
8 Operator theory (47-XX)
7 Commutative algebra (13-XX)
7 Real functions (26-XX)
6 Algebraic geometry (14-XX)
6 Probability theory and stochastic processes (60-XX)
6 Computer science (68-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Ordinary differential equations (34-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Functions of a complex variable (30-XX)
4 Approximations and expansions (41-XX)
3 Topological groups, Lie groups (22-XX)
3 Partial differential equations (35-XX)
3 Sequences, series, summability (40-XX)
3 Functional analysis (46-XX)
2 Field theory and polynomials (12-XX)
2 Group theory and generalizations (20-XX)
2 Difference and functional equations (39-XX)
2 Integral transforms, operational calculus (44-XX)
2 Numerical analysis (65-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of deformable solids (74-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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