Results 41 to 50 of about 311 (130)

Applications of the Hurwitz-Lerch Zeta-Function [PDF]

Pure and Applied Mathematics Journal, 2015
In this paper, we shall exhibit the use of two principles, “principle of decomposition into residue classes” and “binomial principle of analytic continuation” due to Ram Murty and Sinha and indicate a certain distribution property and the functional equation for the Lipschitz-Lerch transcendent at integral arguments ofs.
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Refinements of Some Recent Inequalities for Certain Special Functions

Annales Mathematicae Silesianae, 2019
The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed, Ighachane Mohamed Amine   +1 more
doaj   +1 more source

On Convoluted Forms of Multivariate Legendre-Hermite Polynomials with Algebraic Matrix Based Approach

Mathematics
The main purpose of this article is to construct a new class of multivariate Legendre-Hermite-Apostol type Frobenius-Euler polynomials. A number of significant analytical characterizations of these polynomials using various generating function techniques
Mumtaz Riyasat, Amal S. Alali, Shahid Ahmad Wani, Subuhi Khan   +3 more
doaj   +1 more source

A procedure for generating infinite series identities

International Journal of Mathematics and Mathematical Sciences, 2004
A procedure for generating infinite series identities makes use of the generalized method of exhaustion by analytically evaluating the inner series of the resulting double summation.
Anthony A. Ruffa
doaj   +1 more source

On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator

Journal of Mathematical and Fundamental Sciences, 2017
In this article, a new linear differential operator I^k (L_s^a (a_l,b_m )f(z)) is defined by using the Hadamard product of the q-hypergeometric function and a function related to the Hurwitz-Lerch zeta function. By using this linear differential operator,
Khalid Challab, Maslina Darus, Firas Ghanim   +2 more
doaj   +1 more source

A Generalization of Ramanujan‐Type Integrals

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
Recently, Xu, Yin, and Zhou obtained explicit evaluations of the Ramanujan‐type integrals ∫0∞xs−1sinbx/coshax−cosbxdx and ∫0∞xs−1sinbx/coshax+cosbxdx, expressing them in closed form in terms of the gamma function, the Riemann zeta function, and the alternating zeta function.
Irshad Ayoob, Shikha Binwal
wiley   +1 more source

Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function

Moroccan Journal of Pure and Applied Analysis, 2015
In the present paper, we give sufficient conditions for a function f to be in the subclasses ΣS*a,s (A. B, α, β) and ΣKa,s (A, B, α, β) of the class Σ of meromorphic functions which are analytic in the punctured unit disk U*.
Srivastava H. M., Gaboury S., Ghanim F.
doaj   +1 more source

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

Approximate functional equations for the Hurwitz and Lerch zeta-functions

Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 2017
As one of the asymptotic formulas for the zeta-function, Hardy and Littlewood gave asymptotic formulas called the approximate functional equation. In 2003, R. Garunkštis, A. Laurinčikas, and J. Steuding (in [1]) proved the Riemann-Siegel type of the approximate functional equation for the Lerch zeta-function $ ζ_L (s, α, λ) = \sum_{n=0}^\infty e^{2πi n
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On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas

Contributions to Plasma Physics, Volume 65, Issue 8-9, October 2025.
ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias, Tobias Dornheim, Jan Vorberger   +2 more
wiley   +1 more source