Results 41 to 50 of about 813 (211)
Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials
Advances in Difference Equations, 2020 The polyexponential functions were introduced by Hardy and rediscovered by Kim, as inverses to the polylogarithm functions. Recently, the type 2 poly-Bernoulli numbers and polynomials were defined by means of the polyexponential functions. In this paper,
Taekyun Kim +3 more
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Journal of High Energy Physics, 2023 We studied the two-loop non-factorizable Feynman diagrams for the t-channel single-top production process in quantum chromodynamics. We present a systematic computation of master integrals of the two-loop Feynman diagrams with one internal massive ...
Zihao Wu, Ming-Ming Long
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Finite and étale polylogarithms
Journal of Number Theory, 2017 Comment: 21 pages.
Sakugawa, Kenji, Seki, Shin-ichiro
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Simplifying polylogarithms with machine learning
International Journal of Data Science in the Mathematical Sciences, 2023 Polylogarithmic functions, such as the logarithm or dilogarithm, satisfy a number of algebraic identities. For the logarithm, all the identities follow from the product rule. For the dilogarithm and higher-weight classical polylogarithms, the identities can involve five functions or more.
Dersy, Aurélien +2 more
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Hurwitz-Lerch Type Multi-Poly-Cauchy Numbers
Mathematics, 2019 In this paper, we define Hurwitz–Lerch multi-poly-Cauchy numbers using the multiple polylogarithm factorial function. Furthermore, we establish properties of these types of numbers and obtain two different forms of the explicit formula using ...
Noel Lacpao +2 more
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Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика, 2021 The mixed problem for the telegraph equation well-known in electrical engineering and electronics, provided that the line is free from distortions, is reduced to a similar problem for one-dimensional inhomogeneous wave equation. An effective way to solve
P. G. Lasy, I. N. Meleshko
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From webs to polylogarithms [PDF]
Journal of High Energy Physics, 2014 64 pages, 8 ...
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Special values of multiple polylogarithms [PDF]
Transactions of the American Mathematical Society, 2000 Historically, the polylogarithm has attracted specialists and non-specialists alike with its lovely evaluations. Much the same can be said for Euler sums (or multiple harmonic sums), which, within the past decade, have arisen in combinatorics, knot theory and high-energy physics.
Borwein, Jonathan M. +3 more
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Zeta Annuities, Fractional Calculus, and Polylogarithms [PDF]
, 2022 Jim Tao
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Analyticity of the Free Energy of a Closed 3-Manifold
Symmetry, Integrability and Geometry: Methods and Applications, 2008 The free energy of a closed 3-manifold is a 2-parameter formal power series which encodes the perturbative Chern-Simons invariant (also known as the LMO invariant) of a closed 3-manifold with gauge group U(N) for arbitrary N.
Stavros Garoufalidis +2 more
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