WebПолилогарифм — специальная функция, обозначаемая и определяемая как бесконечный степенной ряд = =, где s и z — комплексные числа, причём … Web21 jun. 2004 · DOI: 10.1090/S0025-5718-05-01747-3 Corpus ID: 11701991; Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums @article{Freitas2004IntegralsOP, title={Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums}, author={Pedro Freitas}, journal={Math.
sequences and series - Converting a 2D lattice sum into a sum …
WebThe function Li1(x) is just the usual logarithm Li1(x) = G 1 x;1 = Z1 0 dt t x 1 = Z x 0 dt 1 t = ln(1 x): (8) The polylogarithm Li n(z) can be written as Li n(z) = Z 0 1 t 1 t 2 ::: tn z … Web8 apr. 2007 · Maximon has recently given an excellent summary of the properties of the Euler dilogarithm function and the frequently used generalizations of the dilogarithm, the most important among them being the polylogarithm function Lis(z). The polylogarithm function appears in several fields of mathematics and in many physical problems. We, … how to scan a document via iphone
CONTINUED-FRACTION EXPANSIONS FOR THE RIEMANN ZETA FUNCTION …
Web2 Lattice sums 1.2 Historical survey Lattice sums are expressions of the form l F(l) (1.2.1) where the vector l ranges over a d-dimensional lattice. In this review we shall be … Web24 okt. 2024 · In mathematics, the polylogarithm (also known as Jonquière's function, for Alfred Jonquière) is a special function Li s (z) of order s and argument z.Only for special … Web1 sep. 2024 · A generating function of the sums of the interpolated finite multiple harmonic q-series with fixed weight, depth and i-height is computed. Some Ohno-Zagier type relation with corollaries and some evaluation formulas of the interpolated finite multiple harmonic q -series at roots of unity are given. how to scan a document with ipad