Inmathematics, some functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some of these functions in more detail. There is a large theory ofspecial functions which developed out ofstatistics andmathematical physics. A modern, abstract point of view contrasts largefunction spaces, which are infinite-dimensional and within which most functions are "anonymous", with special functions picked out by properties such assymmetry, or relationship toharmonic analysis andgroup representations.
Power functions: raise a variable number to a fixed power; also known asAllometric functions; note: if the power is a rational number it is not strictly a transcendental function.
Dirac delta function: everywhere zero except forx = 0; total integral is 1. Not a function but adistribution, but sometimes informally referred to as a function, particularly by physicists and engineers.
Thomae's function: is a function that is continuous at all irrational numbers and discontinuous at all rational numbers. It is also a modification of Dirichlet function and sometimes called Riemann function.
Kronecker delta function: is a function of two variables, usually integers, which is 1 if they are equal, and 0 otherwise.
