Results 101 to 110 of about 562 (207)
Lerch's $\Phi$ and the Polylogarithm at the Positive Integers
, 2020 We review the closed-forms of the partial Fourier sums associated with $HP_k(n)$ and create an asymptotic expression for $HP(n)$ as a way to obtain formulae for the full Fourier series (if $b$ is such that $|b|
Jose Risomar Sousa
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The polylogarithm in algebraic number fields [PDF]
, 1985 Based on Kummer's 2-variable functional equations for the second through fifth orders of the polylogarithm function, certain linear combinations, with rational coefficients, of polylogarithms of powers of an algebraic base were discovered to possess ...
Lewin, L, Abouzahra, M
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Families of skew linear harmonic Euler sums involving some parameters
CuboIn 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.
Anthony Sofo
doaj +1 more source
Journal of High Energy Physics, 2018 This is a sequel of our previous paper where we described an algorithm to find a solution of differential equations for master integrals in the form of an ϵ-expansion series with numerical coefficients.
Roman N. Lee +2 more
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One-loop amplitudes: string methods, infrared regularization, and automation
Journal of High Energy PhysicsWe calculate field theory loop amplitudes by string methods, applied to half-maximal 4-point one-loop graviton amplitudes. Infrared divergences are regulated similarly to soft-collinear effective field theory (SCET): new mass scales are introduced, here ...
Marcus Berg +2 more
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Extended Wang sum and associated products. [PDF]
PLoS One, 2022 Reynolds R, Stauffer A.
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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Some New Results Involving the Generalized Bose–Einstein and Fermi–Dirac Functions
Axioms, 2019 In this paper, we obtain a new series representation for the generalized Bose−Einstein and Fermi−Dirac functions by using fractional Weyl transform.
Rekha Srivastava +3 more
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Introducing the Polylogarithmic Hardy Space [PDF]
Integral Equations and Operator Theory, 2015 15 ...
openaire +2 more sources