Results 101 to 110 of about 5,153,606 (196)
A note on q-analogue of Hermite-poly-Bernoulli numbers and polynomials [PDF]
Mathematica Moravica, 2019 In this paper, we introduce the Hermite-based poly-Bernoulli numbers and polynomials with q-parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations.
Khan Waseem A. +2 more
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The algebraic de Rham realization of the elliptic polylogarithm via the Poincaré bundle
, 2020 We describe the algebraic de Rham realization of the elliptic polylogarithm for arbitrary families of elliptic curves in terms of the Poincare bundle.
Sprang, Johannes, Johannes Sprang
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Remarks on an Identity of Anastase and Díaz-Barrero
AxiomsWe extend an algebraic identity of Anastase and Díaz-Barrero (2022) and apply our results to deduce various formulas for sums and series involving (among others) Fibonacci and Lucas numbers, Bernoulli polynomials, and the Riemann zeta function.
Horst Alzer, Robert Frontczak
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Series approximations of the polylogarithm with applications to Euler sums and certain integrals
A series approximation of the polylogarithm based on values of the Riemann zeta function is proposed, and truncation of this series yields finite approximations of the polylogarithm. Both the series representation and its truncated versions of the series
Michael Weba
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Thermopower, figure of merit and Fermi integrals. [PDF]
Sci Rep, 2021 Limelette P.
europepmc +1 more source
The Maillot–Rössler current and the polylogarithm on abelian schemes
, 2019 We give a structural proof of the fact that the realization of the degree-zero part of the polylogarithm on abelian schemes in analytic Deligne cohomology can be described in terms of the Bismut-Kohler higher analytic torsion form of the Poincare bundle.
Scarponi, Danny, Kings, Guido
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A sixteenth-order polylogarithm ladder.
, 1992 The mth polylogarithm function is defined by \textLi\sb m(z)=\sum\sp ∞\sbn=1z\sp nn\sp-m. The modified polylogarithm is defined by P\sb m(x)=\textRe\sb m≤ft(\sum\sp m\sbr=02\sp rB\sb r(r!)\sp- 1(\log\vert x\vert)\sp r\textLi\sbm-r(x)\right), where ...
Cohen, H. +5 more
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Stirling numbers and inverse factorial series [PDF]
Contributions to Mathematics, 2023 Khristo N. Boyadzhiev
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[Formula: see text] statistical ensemble: systems with fluctuating energy, particle number, and volume. [PDF]
Sci Rep, 2021 Marzolino U.
europepmc +1 more source
Evaluating multiple polylogarithm values at sixth roots of unity up to weight six
, 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.
A.V. Smirnov, V.A. Smirnov, J.M. Henn
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