Results 61 to 70 of about 107 (92)

Value distribution of Lerch and periodic Hurwitz Zeta-functions

open access: yes, 2018
In this dissertation the Lerch zeta-function, its derivative and the periodic Hurwitz zeta-function are studied. These functions are generalizations of the famous Riemann zeta-function. To get better understanding of the zero and a-value distribution of the periodic Hurwitz zeta-function we find the asymptotic formula for the number of nontrivial zeros
openaire   +1 more source

Some topics related to Hurwitz–Lerch zeta functions

open access: yesSome topics related to Hurwitz–Lerch zeta functions
In this paper, we consider multiplication formulas and their inversion formulas for Hurwitz-Lerch zeta functions. Inversion formulas give simple proofs of known results, and also show generalizations of those results. Next, we give a generalization of digamma and gamma functions in terms of Hurwitz-Lerch zeta functions, and consider its properties.
openaire  

Approximate Functional Equations for the Hurwitz and Lerch Zeta-functions

open access: yesApproximate Functional Equations for the Hurwitz and Lerch Zeta-functions
openaire  

Integral and computational representations of the extended Hurwitz–Lerch zeta function

Integral Transforms and Special Functions, 2011
This article presents a systematic investigation of various integrals and computational represen-tations for some families of generalized Hurwitz–Lerch Zeta functions which are introduced here.We first establish their relationship with the H-function, which enables us to derive the Mellin–Barnes type integral representations for nearly all of the ...
Tibor K Pogány   +2 more
exaly   +3 more sources

Certain families of series associated with the Hurwitz–Lerch Zeta function

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junesang Choi
exaly   +3 more sources

The universality for linear combinations of Lerch zeta functions and the Tornheim–Hurwitz type of double zeta functions

Monatshefte Fur Mathematik, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takashi Nakamura
exaly   +2 more sources

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