Results 11 to 20 of about 5,484,562 (148)

A note on the zeros of the Lerch zeta-function [PDF]

Lietuvos Matematikos Rinkinys, 2001
In the paper we obtain the effective zero free regions for the Lerch zeta-function.
Ramūnas Garunkštis
doaj   +4 more sources

On a Certain Extension of the Hurwitz-Lerch Zeta Function

Annals of the West University of Timisoara: Mathematics and Computer Science, 2014
Our purpose in this paper is to consider a generalized form of the extended Hurwitz-Lerch Zeta function. For this extended Hurwitz-Lerch Zeta function, we obtain some classical properties which includes various integral representations, a differential ...
Parmar Rakesh K., Raina R. K.
doaj   +2 more sources

A Double Integral Containing the Fresnel Integral Function Sx: Derivation and Computation

Journal of Mathematics, 2022
A two-dimensional integral containing Sx is derived.
Robert Reynolds, Allan Stauffer
doaj   +2 more sources

Joint universality of the Riemann zeta-function and Lerch zeta-functions [PDF]

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   +3 more sources

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

Mathematics
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, Rabha M. El-Ashwah, Nicoleta Breaz, Abeer M. Albalahi   +3 more
doaj   +2 more sources

Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function

Abstract and Applied Analysis, 2013
By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for ...
S. Gaboury, A. Bayad
doaj   +2 more sources

A Study of a Certain Subclass of Hurwitz-Lerch-Zeta Function Related to a Linear Operator [PDF]

Abstract and Applied Analysis, 2013
By using a linear operator with Hurwitz-Lerch-Zeta function, which is defined here by means of the Hadamard product (or convolution), the author investigates interesting properties of certain subclasses of meromorphically univalent functions in the ...
F. Ghanim
doaj   +2 more sources

ePoster. [PDF]

Eur J Neurol
European Journal of Neurology, Volume 33, Issue S1, June 2026.
europepmc   +2 more sources

Generalizations of the Lerch zeta function. [PDF]

The Lerch zeta function is a three-variable generalization of the Riemann zeta function and the Hurwitz zeta function. In this thesis, we study generalizations and analogues of the Lerch zeta function. Our approaches proceed along three directions: local,
Ngo, Hieu T.
core   +4 more sources

Aspects of the screw function corresponding to the Riemann zeta‐function

Journal of the London Mathematical Society, Volume 108, Issue 4, Page 1448-1487, October 2023., 2023
Abstract We introduce a screw function corresponding to the Riemann zeta‐function and study its properties from various aspects. Typical results are several equivalent conditions for the Riemann hypothesis in terms of the screw function. One of them can be considered an analog of so‐called Weil's positivity or Li's criterion.
Masatoshi Suzuki
wiley   +1 more source