Results 41 to 50 of about 5,223,805 (173)

Uniform Treatment of Jensen’s Inequality by Montgomery Identity

open access: yesJournal of Mathematics, Volume 2021, Issue 1, 2021., 2021
We generalize Jensen’s integral inequality for real Stieltjes measure by using Montgomery identity under the effect of n−convex functions; also, we give different versions of Jensen’s discrete inequality along with its converses for real weights. As an application, we give generalized variants of Hermite–Hadamard inequality.
Tahir Rasheed   +5 more
wiley   +1 more source

Note on the Hurwitz-Lerch Zeta Function of Two Variables [PDF]

open access: yes, 2020
Choi, Junesang/0000-0002-7240-7737; Yagci, Oguz/0000-0001-9902-8094A number of generalized Hurwitz-Lerch zeta functions have been presented and investigated.
Yağcı, Oğuz   +7 more
core   +1 more source

The holomorphic flow of the Riemann zeta function [PDF]

open access: yes, 2003
The flow of the Riemann zeta function, ś = ς(s), is considered, and phase portraits are presented. Attention is given to the characterization of the flow lines in the neighborhood of the first 500 zeros on the critical line.
Barnett, A. Ross, Broughan, Kevin A.
core   +1 more source

A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\)

open access: yesمجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
doaj   +1 more source

Leaf-to-leaf distances and their moments in finite and infinite m-ary tree graphs [PDF]

open access: yes, 2015
We study the leaf-to-leaf distances on full and complete m-ary graphs using a recursive approach. In our formulation, leaves are ordered along a line. We find explicit analytical formulae for the sum of all paths for arbitrary leaf-to-leaf distance r as
Römer, Rudolf A.   +2 more
core   +1 more source

The Lerch zeta-function with algebraic irrational parameter

open access: yesLietuvos Matematikos Rinkinys, 2009
In this note, we present probabilisticlimit theorems on the complex plane as well as in functional spaces for the Lerch zeta-function with algebraic irrational parameter.
Danutė Genienė
doaj   +1 more source

On extended Hurwitz–Lerch zeta function

open access: yesJournal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Min-Jie   +2 more
openaire   +2 more sources

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

Synergistic Inhibitory Effect and Mechanism of Action of Cinnamaldehyde‐Carvacrol Nanoemulsion on the Staphylococcus aureus and Escherichia coli Mixed Biofilms Formation

open access: yesMicrobiologyOpen, Volume 15, Issue 2, April 2026.
The study prepared Cinnamaldehyde‐Carvacrol nanoemulsions (CA/CV NEs) through high‐energy emulsification. In a mouse infection model, CA/CV NEs exhibited a synergistic inhibitory effect on the formation of Staphylococcus aureus–Escherichia coli mixed biofilms, reducing PIA, LuxS/AI‐2, adhesion, athletic ability, and extracellular protein.
Siqi He   +4 more
wiley   +1 more source

Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function

open access: yesMathematics
The findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function.
Ekram E. Ali   +3 more
doaj   +1 more source

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