Movatterモバイル変換


[0]ホーム

URL:


Jump to content
WikipediaThe Free Encyclopedia
Search

Paul Émile Appell

From Wikipedia, the free encyclopedia
French mathematician (1855–1930)
M. P. Appell is the same person: it stands for Monsieur Paul Appell.
Paul Appell
Appell in 1921
Born(1855-09-27)27 September 1855
Died24 October 1930(1930-10-24) (aged 75)
Known forAppell polynomials
Appell series
Appell sequence
Appell's equation of motion
Appell–Humbert theorem
Appell–Lerch sums
Complex–shift method
Scientific career
FieldsMathematics
Physics

Paul Émile Appell (27 September 1855 inStrasbourg – 24 October 1930 inParis) was a Frenchmathematician andRector of theUniversity of Paris.Appell polynomials and Appell's equations of motion are named after him, as is rue Paul Appell in the14th arrondissement of Paris and the minor planet988 Appella.

Life

[edit]

Paul Appell entered theÉcole Normale Supérieure in 1873. He was elected to theFrench Academy of Sciences in 1892.

In 1895, he became a Professor at theÉcole Centrale Paris. Between 1903 and 1920 he wasDean of the Faculty of Science of the University of Paris, then Rector of the University of Paris from 1920 to 1925.

Appell was the President of theSociété astronomique de France (SAF), the French astronomical society, from 1919 to 1921.[1]

His daughter Marguerite Appell (1883–1969), who married the mathematicianÉmile Borel, is known as a novelist under her pen-nameCamille Marbo.

Appell was an atheist.[2] He was awardedOrder of the White Eagle.[3] and was also elected to honorary membership of theManchester Literary and Philosophical Society.[4]

Work

[edit]

He worked first onprojective geometry in the line ofChasles, then onalgebraic functions,differential equations, andcomplex analysis. Appell was the editor of the collected works ofHenri Poincaré. Jules Drach was co-editor of the first volume.[5]

Appell series

[edit]

He introduced a set of four hypergeometric seriesF1,F2,F3,F4 of two variables, now calledAppell series, that generalizeGauss'shypergeometric series.

He established the set ofpartial differential equations of which these functions are solutions, and found formulas and expressions of these series in terms ofhypergeometric series of one variable. In 1926, with ProfessorJoseph-Marie Kampé de Fériet, he authored a treatise on generalized hypergeometric series.

Mechanics

[edit]

In mechanics, he proposed an alternative formulation of analytical mechanics known asAppell's equation of motion.

He discovered a physical interpretation of theimaginaryperiod of thedoubly periodic function whose restriction toreal arguments describes the motion of an idealpendulum.

Publications

[edit]

See also

[edit]
Wikimedia Commons has media related toPaul Appell.

References

[edit]
  1. ^Bulletin de la Société astronomique de France, November 1937, plates X–IX
  2. ^MAUGIN, GRARD A. CONTINUUM MECHANICS THROUGH THE EIGHTEENTH AND NINETEENTH CENTURIES: historical perspectives ... from john bernoulli to ernst hellinger. Place of publication not identified: SPRINGER, 2016. Print. ""he was an atheist"
  3. ^Acović, Dragomir (2012).Slava i čast: Odlikovanja među Srbima, Srbi među odlikovanjima. Belgrade: Službeni Glasnik. p. 643.
  4. ^Memoirs and proceedings of the Manchester Literary & Philosophical Society FOURTH SERIES Eighth VOLUME 1894
  5. ^Birkhoff, G. D. (1934)."The Work of Poincaré on Differential Equations"(PDF).Bull. Amer. Math. Soc.40 (5):363–366.doi:10.1090/s0002-9904-1934-05835-x.
  6. ^Thomas, Tracy Yerkes (1927)."Traité de Mécanique Rationnelle, Vol. V"(PDF).Bull. Amer. Math. Soc.33 (4):493–495.doi:10.1090/s0002-9904-1927-04414-7.
  7. ^Osgood, W. F. (1896)."Review:Théorie des fonctions algébriques et de leurs intégrales, par Paul Appell et Édouard Goursat"(PDF).Bull. Amer. Math. Soc.2 (10):317–327.doi:10.1090/s0002-9904-1896-00353-0.

External links

[edit]
International
National
Academics
People
Other
Retrieved from "https://en.wikipedia.org/w/index.php?title=Paul_Émile_Appell&oldid=1305879443"
Categories:
Hidden categories:

[8]ページ先頭

©2009-2025 Movatter.jp