- polylogarithm
-
A function of complex numbers related to logarithmsSee Also: dilogarithm, trilogarithm
Wikipedia foundation.
polylogarithm
Look at other dictionaries:
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 polylogarithm — In mathematics, the Incomplete Polylogarithm function is related to the polylogarithm function. It is sometimes known as the incomplete Fermi–Dirac integral or the incomplete Bose–Einstein integral. It may be defined by::Li s(b,z) =… … Wikipedia
Полилогарифм — Полилогарифм специальная функция, обозначаемая и определяемая как бесконечный степенной ряд где s и z комплексные числа, причём . Для иных z делается обобщение с помощью аналитического продолжения. Карта высот полилогарифма на… … Википедия
Multiplication theorem — In mathematics, the multiplication theorem is a certain type of identity obeyed by many special functions related to the gamma function. For the explicit case of the gamma function, the identity is a product of values; thus the name. The various… … Wikipedia
Función polilogarítmica — El polilogaritmo (también conocido como función de Jonquière) es una función especial definida por la siguiente serie: Esta no es, en general, una función elemental, aunque esté relacionada con la función logarítmica. La definición dada arriba es … Wikipedia Español
Gas in a box — In quantum mechanics, the results of the quantum particle in a box can be used to look at the equilibrium situation for a quantum ideal gas in a box which is a box containing a large number of molecules which do not interact with each other… … Wikipedia
Dilogarithmus — Der Polylogarithmus ist eine spezielle Funktion, die durch die Reihe definiert ist. Für s = 1 geht der Polylogarithmus in den gewöhnlichen Logarithmus über: Li1(z) = − ln(1 − z). Im Fall s = 2 oder s = 3 spricht man entsprechend von Dilogarithmus … Deutsch Wikipedia
Trilogarithmus — Der Polylogarithmus ist eine spezielle Funktion, die durch die Reihe definiert ist. Für s = 1 geht der Polylogarithmus in den gewöhnlichen Logarithmus über: Li1(z) = − ln(1 − z). Im Fall s = 2 oder s = 3 spricht man entsprechend von Dilogarithmus … Deutsch 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
Clausen function — In mathematics, the Clausen function is defined by the following integral: It was introduced by Thomas Clausen (1832). The Lobachevsky function Λ or Л is essentially the same function with a change of variable: though the name Lobachevsky… … Wikipedia
