Results 81 to 90 of about 3,758 (193)

The Lerch zeta function IV. Hecke operators

open access: yesResearch in the Mathematical Sciences, 2016
This paper studies algebraic and analytic structures associated with the Lerch zeta function. It defines a family of two-variable Hecke operators $\{ T_m: \, m \ge 1\}$ given by $T_m(f)(a, c) = \frac{1}{m} \sum_{k=0}^{m-1} f(\frac{a+k}{m}, mc)$ acting on certain spaces of real-analytic functions, including Lerch zeta functions for various parameter ...
Lagarias, Jeffrey C.   +1 more
openaire   +3 more sources

Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function

open access: yes, 2012
It is demonstrated that the alternating Lipschitz-Lerch zeta function and the alternating Hurwitz zeta function constitute a discrete Fourier transform pair.
Cvijović, Đurđe
core   +1 more source

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

open access: yesMathematics
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   +3 more
doaj   +1 more source

A procedure for generating infinite series identities

open access: yesInternational 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

Update of the risk assessment on dioxins and dioxin‐like PCBs in feed and food

open access: yesEFSA Journal, Volume 24, Issue 6, June 2026.
Abstract The European Commission asked EFSA to update its 2018 risk assessment on polychlorinated dibenzo‐p‐dioxins and dibenzofurans (PCDD/Fs) and dioxin‐like polychlorinated biphenyls (DL‐PCBs) in feed and food, based on the 2022 WHO Toxic Equivalency Factors (WHO2022‐TEFs).
EFSA Panel on Contaminants in the Food Chain (CONTAM Panel)   +27 more
wiley   +1 more source

On the mean square of the Lerch zeta-function

open access: yesLietuvos Matematikos Rinkinys, 1999
There is not abstract.
Antanas Laurinčikas
doaj   +1 more source

Certain inequalities for the modified Bessel-type function

open access: yesJournal of Inequalities and Applications, 2019
We establish some new inequalities for the modified Bessel-type function λν,σ(β)(x) $\lambda _{\nu ,\sigma }^{(\beta )} (x )$ studied by Glaeske et al. [in J. Comput. Appl. Math.
Min-Jie Luo, Ravinder Krishna Raina
doaj   +1 more source

Evaluation of integrals with hypergeometric and logarithmic functions

open access: yesOpen Mathematics, 2018
We provide an explicit analytical representation for a number of logarithmic integrals in terms of the Lerch transcendent function and other special functions.
Sofo Anthony
doaj   +1 more source

A transformation formula related to Dirichlet L-functions with principal character

open access: yesLietuvos Matematikos Rinkinys, 2012
We prove a transformation formula for the function for the exponential sum involving the divisor function. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with principal ...
Aidas Balčiūnas
doaj   +1 more source

Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function

open access: yes, 2018
The aim of the present paper is to investigate several third-order differential subordinations, differential superordination properties, and sandwich-type theorems of an integral operator Ws,bf(z) involving the Hurwitz–Lerch Zeta function.
Zhi-Ren Wang, Xiao-Yuan Wang, Lei Shi
core   +1 more source

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