dilogarithm
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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
Spence's function — Li2 redirects here. For the molecule with formula Li2, see dilithium. See also: polylogarithm#Dilogarithm In mathematics, Spence s function, or dilogarithm, denoted as Li2(z), is a particular case of the polylogarithm. Lobachevsky s function and… … 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
Дилогарифм — Действительная и мнимая части функции Дилогарифм специальная функция в математике, которая обозначается … Википедия
Radius of convergence — In mathematics, the radius of convergence of a power series is a quantity, either a non negative real number or ∞, that represents a domain (within the radius) in which the series will converge. Within the radius of convergence, a power series… … Wikipedia
Khinchin's constant — In number theory, Aleksandr Yakovlevich Khinchin proved that for almost all real numbers x , the infinitely many denominators a i of the continued fraction expansion of x have an astonishing property: their geometric mean is a constant, known as… … Wikipedia
Dickman-de Bruijn function — In analytic number theory, Dickman s function is a special function used to estimate the proportion of smooth numbers up to a given bound.Dickman s function is named after actuary Karl Dickman, who defined it in his only mathematical publication … 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
Landen, John — ▪ English mathematician born Jan. 23, 1719, Peakirk, Northamptonshire, Eng. died Jan. 15, 1790, Milton, Northamptonshire British mathematician who was trained as a surveyor and who made important contributions on elliptic integrals.… … Universalium
