Results 1 to 10 of about 562 (207)
Evaluating multiple polylogarithm values at sixth roots of unity up to weight six
Nuclear Physics B, 2017 We evaluate multiple polylogarithm values at sixth roots of unity up to weight six, i.e. of the form G(a1,…,aw;1) where the indices ai are equal to zero or a sixth root of unity, with a1≠1.
V A Smirnov, A V Smirnov
exaly +4 more sources
Some identities on degenerate poly-Euler polynomials arising from degenerate polylogarithm functions
Applied Mathematics in Science and Engineering, 2023 Our main focus here is a new type of degenerate poly-Euler polynomials and numbers. This focus stems from their nascent importance for applications in combinatorics, number theory and in other aspects of applied mathematics.
Taekyun Kim
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The Cotangent Function as an Avatar of the Polylogarithm Function of Order 0 and Ramanujan’s Formula
AxiomsIn this paper we will be concerned with zeta-symmetry—the functional equation for the (Riemann) zeta-function (equivalents to which are called modular relations)—and reveal the reason why so many results are intrinsic to PFE (Partial Fraction Expansion ...
Ruiyang Li +2 more
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Representations of degenerate poly-Bernoulli polynomials
Journal of Inequalities and Applications, 2021 As is well known, poly-Bernoulli polynomials are defined in terms of polylogarithm functions. Recently, as degenerate versions of such functions and polynomials, degenerate polylogarithm functions were introduced and degenerate poly-Bernoulli polynomials
Taekyun Kim +3 more
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A New Family of Degenerate Poly-Genocchi Polynomials with Its Certain Properties
Journal of Function Spaces, 2021 In this paper, we introduce a new type of degenerate Genocchi polynomials and numbers, which are called degenerate poly-Genocchi polynomials and numbers, by using the degenerate polylogarithm function, and we derive several properties of these ...
Waseem A. Khan +3 more
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On the new type of degenerate poly-Genocchi numbers and polynomials
Advances in Difference Equations, 2020 Kim and Kim (J. Math. Anal. Appl. 487:124017, 2020) introduced the degenerate logarithm function, which is the inverse of the degenerate exponential function, and defined the degenerate polylogarithm function.
Dae Sik Lee, Hye Kyung Kim
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Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm
Advances in Difference Equations, 2020 Recently, degenerate polylogarithm functions were introduced by Kim and Kim. In this paper, we introduce degenerate poly-Bernoulli polynomials by means of the degenerate polylogarithm functions and investigate some their properties.
Taekyun Kim +4 more
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Notes on Meromorphic Functions with Positive Coefficients Involving Polylogarithm Function
Известия Иркутского государственного университета: Серия "Математика", 2020 In this paper, we introduce and study a new subclass of meromorphic functions with positive coefficients involving the polylogarithm function and obtain coefficient estimates, growth and distortion theorem, radius of convexity, integral transforms ...
G. Swapna +2 more
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Wien peaks and the Lambert W function [PDF]
Revista Brasileira de Ensino de Física, 2011 Exact expressions for the wavelengths where maxima occur in the spectral distribution curves of blackbody radiation for a number of diferent dispersion rules are given in terms of the Lambert W function.
Seán M. Stewart
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Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика, 2019 The paper deals with a mixed problem for the telegraph equation well-known in electrical engineering and electronics, provided that the line is free from distortion.
P. G. Lasy, I. N. Meleshko
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