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pro vyhledávání: '"polylogarithm"'
Akademický článek
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Autor:
Anthony Sofo
Publikováno v:
Cubo, Vol 26, Iss 1, Pp 75-89 (2024)
In this study we investigate a family of skew linear harmonic Euler sums involving some free parameters. Our analysis involves using the properties of the polylogarithm function, commonly referred to as the Bose-Einstein integral. A reciprocity prope
Externí odkaz:
https://doaj.org/article/e435ff8cc353498abc838b8f692fbd46
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 1051-1073 (2024)
Dedekind sums and their generalizations are defined in terms of Bernoulli functions and their generalizations. As a new generalization of the Dedekind sums, the degenerate poly-Dedekind sums, which are obtained from the Dedekind sums by replacing Ber
Externí odkaz:
https://doaj.org/article/a65f7161323f43dfa25046094e6f6ffb
Autor:
Anthony Sofo
Publikováno v:
Symmetry, Vol 16, Iss 10, p 1322 (2024)
We investigate the linear arrangement of Euler harmonic sums that may be expressed in closed form in terms of special functions such as the classical Riemann zeta function and the Dirichlet eta function. Particular emphasis is given to Euler harmonic
Externí odkaz:
https://doaj.org/article/712401359a18441888051186381ddb5a
Publikováno v:
Results in Physics, Vol 59, Iss , Pp 107565- (2024)
A new analytical solution has been found for the electronic heat capacity of typical s-band metals. It is valid for high electron temperatures of the order of tens of kK, commonly reached in fs pulsed laser ablation. We have used the density of state
Externí odkaz:
https://doaj.org/article/f2478b2cf10748ac9bf0e19521cbc254
Akademický článek
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Publikováno v:
Applied Mathematics in Science and Engineering, Vol 31, Iss 1 (2023)
Dedekind-type DC sums and their properties are defined in terms of Euler functions. Ma et al. recently introduced poly-Dedekind-type DC sums and demonstrated that they satisfy a reciprocity relation. In this paper, we introduce the degenerate poly-Eu
Externí odkaz:
https://doaj.org/article/f144f5931bd548c0a7b16fd24ebc427c
Some identities on degenerate poly-Euler polynomials arising from degenerate polylogarithm functions
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 31, Iss 1 (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. We construct a new type o
Externí odkaz:
https://doaj.org/article/b66938f2ccc54bc7ae1fb878e1fb5d8a
Autor:
Khristo N. Boyadzhiev
Publikováno v:
Contributions to Mathematics, Vol 7, Pp 24-33 (2023)
Externí odkaz:
https://doaj.org/article/9748e0eae4374c80a8a1b55bba500859
Autor:
Chunli Li, Wenchang Chu
Publikováno v:
Axioms, Vol 13, Iss 3, p 162 (2024)
By computing definite integrals, we shall examine binomial series of convergence rate ±1/2 and weighted by harmonic-like numbers. Several closed formulae in terms of the Riemann and Hurwitz zeta functions as well as logarithm and polylogarithm funct
Externí odkaz:
https://doaj.org/article/fc3862a49efe4df1a52110c2e36867c6