Results 81 to 90 of about 5,153,606 (196)

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, Humera Naaz, Sabeena Kazi, Asifa Tassaddiq   +3 more
doaj   +1 more source

Some New Transformation Properties of the Nielsen Generalized Polylogarithm [PDF]

, 2014
Many of the properties of Nielsen generalized polylogarithm Sn,p(z), for example, the special value and the transformation formulas, play important roles in the computation of higher order radiative corrections in quantum electrodynamics.
Qinghua Feng, Nina Shang, Huizeng Qin
core   +1 more source

An identity for sums of polylogarithm functions

, 2008
We derive an identity for certain linear combinations of polylogarithm functions with negative exponents, which implies relations for linear combinations of Eulerian numbers. The coefficients of our linear combinations are related to expanding moments of Satake parameters of holomorphic cuspidal newforms in terms of the moments of the corresponding ...
openaire   +4 more sources

Development of a new analytical solution for electronic heat capacity for higher electron temperatures

Results in Physics
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.
S. Vela, C. Molpeceres, M. Morales
doaj   +1 more source

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
core   +1 more source

Modular frobenius manifolds and their invariant flows [PDF]

, 2010
The space of Frobenius manifolds has a natural involutive symmetry on it: there exists a map I which sends a Frobenius manifold to another Frobenius manifold.
I. A. B. Strachan, Morrison, E.K., E. K. Morrison, Strachan, I.   +3 more
core   +1 more source

Polylogarithm for families of commutative group schemes

, 2018
We generalize the definition of the polylogarithm classes to the case of commutative group schemes, both in the sheaf theoretic and the motivic setting. This generalizes and simplifies the existing cases.
Huber-Klawitter, Annette, Annette Huber, Guido Kings, Kings, Guido, Huber, Annette   +4 more
core   +1 more source

The de Rham realization of the elliptic polylogarithm in families [PDF]

, 2014
We give a geometric construction of the logarithm sheaves on an abelian scheme in terms of the universal vectorial extension and the Poincaré bundle. Building on this approach we then develop an explicit description for the de Rham realization of the ...
Scheider, René Achim
core   +1 more source

Binomial Series Involving Harmonic-like Numbers

Axioms
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 functions ...
Chunli Li, Wenchang Chu
doaj   +1 more source

Generalized fractional integration of the \overline{H}-function

Le Matematiche, 2012
A significantly large number of earlier works on the subject of fractional calculus give interesting account of the theory and applications of fractional calculus operators in many different areas of mathematical analysis (such as ordinary and partial ...
Praveen Agarwal
doaj