Results 41 to 50 of about 5,223,805 (173)
Uniform Treatment of Jensen’s Inequality by Montgomery Identity
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]
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]
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
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]
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
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
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
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
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
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

