Results 1 to 10 of about 2,151 (201)

On the Hurwitz—Lerch zeta-function

Aequationes Mathematicae, 2000
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S Kanemitsu
exaly   +2 more sources

On Discrete Universality of the Hurwitz Zeta-Function

Results in Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antanas Laurincikas
exaly   +2 more sources

The joint value-distribution of the Riemann zeta function and Hurwitz zeta functions

Lithuanian Mathematical Journal, 2007
From the text: We investigate the joint value-distribution for the Riemann zeta function and Hurwitz zeta function attached with a transcendental real parameter. Especially, we establish the joint universality theorem for these two zeta functions. Theorem 1.
exaly   +3 more sources

The Stokes phenomenon associated with the Hurwitz zeta function ζ( s , a )

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2005
R B Paris
exaly  

Universality of the periodic Hurwitz zeta-function

Integral Transforms and Special Functions, 2006
A Laurincikas
exaly  

Asymptotics to all orders of the Hurwitz zeta function

Journal of Mathematical Analysis and Applications, 2018
Arran Fernández, A S Fokas
exaly  

Hurwitz Zeta Function Is Prime

Mathematics, 2023
We proved that the Hurwitz zeta function is prime. In addition, we derived the Nevanlinna characteristic for this function.
Marius Dundulis, Ramūnas Garunkštis, Erikas Karikovas, Raivydas Šimėnas   +3 more
doaj   +4 more sources

A New Family of Zeta Type Functions Involving the Hurwitz Zeta Function and the Alternating Hurwitz Zeta Function

Mathematics, 2021
In this paper, we further study the generating function involving a variety of special numbers and ploynomials constructed by the second author. Applying the Mellin transformation to this generating function, we define a new class of zeta type functions,
Daeyeoul Kim, Yilmaz Simsek
doaj   +4 more sources

New Result of Analytic Functions Related to Hurwitz Zeta Function [PDF]

The Scientific World Journal, 2013
By using a linear operator, we obtain some new results for a normalized analytic function f defined by means of the Hadamard product of Hurwitz zeta function. A class related to this function will be introduced and the properties will be discussed.
F. Ghanim, M. Darus
doaj   +3 more sources

A Series Representation for the Hurwitz–Lerch Zeta Function [PDF]

Axioms, 2021
We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
doaj   +3 more sources