Results 81 to 90 of about 311 (130)

On a Weighted Series of the Hurwitz Zeta Function

open access: yes, 2023
In this note we prove that for all $a \in \mathbb{N}$, $x \in \mathbb{R}_+ \cup \{0\}$, and $s \in \mathbb{C}$ with $\Re(s) > a + 2$, the (alternating) weighted series of the Hurwitz zeta function, $$ \sum_{k \geq 1} (\pm 1)^k (k + x)^a\zeta(s,k + x), $$
Fox, Matthew, Karamchedu, Chaitanya
core  

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

Some Difference Equations for Srivastava’s λ-Generalized Hurwitz–Lerch Zeta Functions with Applications

open access: yes, 2019
In this article, we establish some new difference equations for the family of λ-generalized Hurwitz–Lerch zeta functions. These difference equations proved worthwhile to study these newly defined functions in terms of simpler functions ...
Asifa Tassaddiq
core   +1 more source

Functional equations for double zeta-functions [PDF]

open access: yes
As the first step of research on functional equations for multiple zeta-functions, we present a candidate of the functional equation for a class of two variable double zeta-functions of the Hurwitz–Lerch type, which includes the classical Euler sum as a ...
MATSUMOTO, KOHJI, 23839
core  

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  

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