Results 91 to 100 of about 265 (134)

Geometric Features of the Hurwitz–Lerch Zeta Type Function Based on Differential Subordination Method

open access: yes
The interest in special complex functions and their wide-ranging implementations in geometric function theory (GFT) has developed tremendously. Recently, subordination theory has been instrumentally employed for special functions to explore their ...
Firas Ghanim   +3 more
core   +1 more source

On some series representations of the Hurwitz zeta function

open access: yes, 2008
A variety of infinite series representations for the Hurwitz zeta function are obtained. Particular cases recover known results, while others are new. Specialization of the series representations apply to the Riemann zeta function, leading to additional ...
Coffey, Mark W.
core   +1 more source

Polylogarithmic zeta functions and their p-adic analogues

open access: yes, 2017
We consider a broad family of zeta functions which includes the classical zeta functions of Riemann and Hurwitz, the beta and eta functions of Dirichlet, and the Lerch transcendent, as well as the Arakawa–Kaneko zeta functions and the recently ...
Paul Thomas Young
core   +1 more source

Inclusion Relations for Subclasses of Analytic Functions Dened by Integral Operator Associated with the Hurwitz-Lerch Zeta Function

open access: yes, 2016
[[abstract]]The main objective of this article is to introduce a new integral operator = s;bf(z) dened by using the fractional derivative for Hurwitz. Lerch zeta function.
M. Darus, N. M. Mustafa
core  

Generalizations of the Lerch zeta function. [PDF]

open access: yes
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  

Ewald expansions of a class of zeta-functions. [PDF]

open access: yesSpringerplus, 2016
Chakraborty K, Kanemitsu S, Tsukada H.
europepmc   +1 more source

A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials

open access: yes, 2019
The aim of this paper is to investigate some classes of higher-order Apostol-type numbers and Apostol-type polynomials. We construct Lerch-type zeta functions which interpolate these numbers and polynomials at negative integers.
Kucukoğlu, Irem   +2 more
core  

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