Results 111 to 120 of about 1,068 (177)

Value distribution of Lerch and Selberg zeta-functions.

open access: yes, 2012
The doctoral dissertation contains the material of scientific investigations done in 2008-2012 in the Faculty of Mathematics and Informatics at Vilnius University.
Grigutis, Andrius,
core  

The Stokes phenomenon and the Lerch zeta function

open access: yes, 2016
We examine the exponentially improved asymptotic expansion of the Lerch zeta function $L(λ,a,s)=\sum_{n=1}^\infty \exp (2πniλ)/(n+a)^s$ for large complex values of $a$, with $λ$ and $s$ regarded as parameters. It is shown that an infinite number of subdominant exponential terms switch on across the Stokes lines $\arg\,a=\pmπ/2$.
openaire   +2 more sources

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

An operator defined by convolution involving the generalised Hurwitz-Lerch Zeta function

open access: yes, 2012
In this article, we studied the generalised Hurwitz-Lerch zeta function. We defined a new operator and introduced a new class of function.
Husna Zayadi
core  

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