Results 101 to 110 of about 72,493 (237)

On Hadamard and Fejér–Hadamard Inequalities for Fractional Integrals Involving Mittag‐Leffler‐Type Function of Arbitrary Order

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper introduces and investigates novel fractional integral operators featuring the extended Mittag‐Leffler function in the kernel. After establishing the core properties of these operators, we derive the corresponding Hadamard and Fejér–Hadamard inequalities.
Maged Bin-Saad, Jihad Younis, Maryam Salem Alatawi, Ali N. A. Koam, Shanhe Wu   +4 more
wiley   +1 more source

Some computational formulas related the Riemann zeta-function tails

Journal of Inequalities and Applications, 2016
In this paper we present two computational formulae for one kind of reciprocal sums related to the Riemann zeta-function at integer points s = 4 , 5 $s=4,5$ , which answers an open problem proposed by Lin (J. Inequal. Appl. 2016:32, 2016).
Hongmin Xu
doaj   +1 more source

Efficient and Accurate Computation of Arbitrary‐Order Eigenpair Sensitivities Using Hypercomplex Automatic Differentiation

International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.
ABSTRACT Eigenvalue and eigenvector sensitivities with respect to design parameters are crucial for advancing design, optimization, and uncertainty quantification in structural systems. This paper introduces a novel, efficient, and general numerical method for computing arbitrary‐order sensitivities of eigenpairs in self‐adjoint undamped and ...
Juan C. Velasquez‐Gonzalez, Mauricio Aristizabal, Juan David Navarro, Harry R. Millwater, David Restrepo   +4 more
wiley   +1 more source

Joint universality of the Riemann zeta-function and Lerch zeta-functions

Nonlinear Analysis, 2013
In the paper, we prove a joint universality theorem for the Riemann zeta-function and a collection of Lerch zeta-functions with parameters algebraically independent over the field of rational numbers.
Antanas Laurinčikas, Renata Macaitienė˙   +1 more
doaj  

An inequality for the Selberg zeta-function, associated to the compact Riemann surface

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
We consider the absolute values of the Selberg zeta-function, associated to the compact Riemann surface, at places symmetric with respect to the line ℛ(s) = 1/2. We prove an inequality for the Selberg zeta-function, extending the result of R.
Belovas Igoris
doaj   +1 more source

On the periodic zeta-function with rational parameter

Lietuvos Matematikos Rinkinys, 2011
We obtain an asymptotic formula with estimated error term for the fourth power moment of the periodic zeta-function with rational parameter.
Sondra Černigova
doaj   +1 more source

Implications of Lee-Yang Theorem In Quantum Gravity

, 2019
The contributions of this note are twofold: First, it gives a generic recipe to apply Lee-Yang Theorem to solutions of Einstein field equations. Secondly, this existence of the applicability of Lee-Yang Theorem on a partition function of spacetime ...
Chuang, William Huanshan
core  

Partial Sums of the Hurwitz and Allied Functions and Their Special Values

Mathematics
We supplement the formulas for partial sums of the Hurwitz zeta-function and its derivatives, producing more integral representations and generic definitions of important constants.
Nianliang Wang, Ruiyang Li, Takako Kuzumaki   +2 more
doaj   +1 more source

On the distribution of the zeros of the derivative of the Riemann zeta-function [PDF]

, 2014
STEPHEN LESTER
openalex   +1 more source

On the Modulus of the Selberg Zeta-Functions in the Critical Strip

Mathematical Modelling and Analysis, 2015
We investigate the behavior of the real part of the logarithmic derivatives of the Selberg zeta-functions ZPSL(2,Z)(s) and ZC (s) in the critical strip 0 < σ < 1.
Andrius Grigutis, Darius Šiaučiūnas
doaj   +1 more source