Polylogarithm — Not to be confused with polylogarithmic. In mathematics, the polylogarithm (also known as Jonquière s function) is a special function Lis(z) that is defined by the infinite sum, or power series: It is in general not an elementary function, unlike … Wikipedia
Incomplete Fermi–Dirac integral — In mathematics, the incomplete Fermi–Dirac integral for an index j is given by:F j(x,b) = frac{1}{Gamma(j+1)} int b^infty frac{t^j}{exp(t x) + 1},dt.This is an alternate definition of the incomplete polylogarithm. See also * Complete Fermi–Dirac… … Wikipedia
List of mathematical functions — In mathematics, several functions or groups of functions are important enough to deserve their own names. This is a listing of pointers to those articles which explain these functions in more detail. There is a large theory of special functions… … Wikipedia
Debye function — In mathematics, the family of Debye functions is defined by The functions are named in honor of Peter Debye, who came across this function (with n = 3) in 1912 when he analytically computed the heat capacity of a solid. His method is now called… … Wikipedia
List of mathematics articles (I) — NOTOC Ia IA automorphism ICER Icosagon Icosahedral 120 cell Icosahedral prism Icosahedral symmetry Icosahedron Icosian Calculus Icosian game Icosidodecadodecahedron Icosidodecahedron Icositetrachoric honeycomb Icositruncated dodecadodecahedron… … Wikipedia
Lerch zeta function — In mathematics, the Lerch zeta function, sometimes called the Hurwitz Lerch zeta function, is a special function that generalizes the Hurwitz zeta function and the polylogarithm. It is named after Mathias Lerch [http://www groups.dcs.st… … Wikipedia
Harmonic number — The term harmonic number has multiple meanings. For other meanings, see harmonic number (disambiguation) .In mathematics, the n th harmonic number is the sum of the reciprocals of the first n natural numbers::H n=… … Wikipedia
Complete Fermi–Dirac integral — In mathematics, the complete Fermi–Dirac integral, named after Enrico Fermi and Paul Dirac, for an index j is given by This is an alternate definition of the polylogarithm function. The closed form of the function exists for j = 0 … Wikipedia
