Results 31 to 40 of about 5,153,606 (196)
The Polylogarithm Function in Julia
CoRR, 2020 The polylogarithm function is one of the constellation of important mathematical functions. It has a long history, and many connections to other special functions and series, and many applications, for instance in statistical physics. However, the practical aspects of its numerical evaluation have not received the type of comprehensive treatments ...
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Functional equations and ladders for polylogarithms [PDF]
Communications in Number Theory and Physics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Functional relations for elliptic polylogarithms
Journal of Physics A: Mathematical and Theoretical, 2020 Abstract Numerous examples of functional relations for multiple polylogarithms are known. For elliptic polylogarithms, however, tools for the exploration of functional relations are available, but only very few relations are identified.
Johannes Broedel, André Kaderli
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The two-loop remainder function for eight and nine particles
Journal of High Energy Physics, 2021 Two-loop MHV amplitudes in planar N $$ \mathcal{N} $$ = 4 supersymmetric Yang Mills theory are known to exhibit many intriguing forms of cluster-algebraic structure.
John Golden, Andrew J. McLeod
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A note on degenerate poly-Genocchi numbers and polynomials
Advances in Difference Equations, 2020 Recently, some mathematicians have been studying a lot of degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our research is also interested in this field.
Hye Kyung Kim, Lee-Chae Jang
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High Risk, Low Reward: A Challenge to the Astronomical Value of Existential Risk Mitigation
, 2023 Philosophy &Public Affairs, Volume 51, Issue 4, Page 373-412, Fall 2023.
David Thorstad
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Construction of the type 2 poly-Frobenius–Genocchi polynomials with their certain applications
Advances in Difference Equations, 2020 Kim and Kim (Russ. J. Math. Phys. 26(1):40–49, 2019) have studied the type 2 poly-Bernoulli polynomials. Inspired by their work, we consider a new class of the Frobenius–Genocchi polynomials, which is called the type 2 poly-Frobenius–Genocchi polynomials,
Ugur Duran, Mehmet Acikgoz, Serkan Araci
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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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Polylogarithms and arithmetic function spaces [PDF]
Acta Arithmetica, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lucht, Lutz G., Schmalmack, Anke
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Operator Representation of Fermi-Dirac and Bose-Einstein Integral Functions with Applications
International Journal of Mathematics and Mathematical Sciences, 2007 Fermi-Dirac and Bose-Einstein functions arise as quantum statistical distributions. The Riemann zeta function and its extension, the polylogarithm function, arise in the theory of numbers.
M. Aslam Chaudhry, Asghar Qadir
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