Results 71 to 80 of about 5,484,622 (180)

A discrete joint universality theorem for a dirichlet l-function and a lerch zeta-function. [PDF]

open access: yes, 2017
A discrete joint universality theorem for a Dirichlet L-function and a Lerch zeta ...
Laukytė, Laura,
core  

On Generalized Hurwitz-Lerch Zeta Distributions [PDF]

open access: yes, 2009
In this paper, we introduce a function which is an extension to the general Hurwitz-Lerch Zeta function. Having defined the incomplete generalized beta type-2 and incomplete generalized gamma functions, some differentiation formulae are established for ...
Jain, Kumkum   +2 more
core   +1 more source

One estimate related to the periodic zeta-function

open access: yesLietuvos Matematikos Rinkinys, 2010
An estimate for the error term of the fourth moment of the periodic zetafunction is obtained.
Sondra Černigova
doaj   +1 more source

Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials

open access: yesAdvances in Difference Equations, 2020
The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation.
Alejandro Urieles   +3 more
doaj   +1 more source

Remark on the Hurwitz-Lerch zeta function [PDF]

open access: yesFixed Point Theory and Applications, 2013
By the Poisson summation formula, relating a function with its Fourier coefficients, the author obtaines the analytic continuation and a functional relation for a certain Lerch zeta function. The author also deduces \textit{T. M. Apostol}'s result [Pac. J. Math. 1, 161--167 (1951; Zbl 0043.07103)] about the Lerch zeta function and a functional relation
openaire   +1 more source

A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function

open access: yes, 2021
The object of this paper is to derive a double integral in terms of the Hurwitz–Lerch zeta function. Almost all Hurwitz–Lerch zeta functions have an asymmetrical zero-distribution. Special cases are evaluated in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
core   +1 more source

Differential Subordination Results for Certain Integrodifferential Operator and Its Applications

open access: yesAbstract and Applied Analysis, 2012
We introduce an integrodifferential operator Js,b(f) which plays an important role in the Geometric Function Theory. Some theorems in differential subordination for Js,b(f) are used. Applications in Analytic Number Theory are also obtained which give new
M. A. Kutbi, A. A. Attiya
doaj   +1 more source

Limit theorems for Lerch zeta-functions with algebraic irrational parameter. [PDF]

open access: yes, 2010
Limit theorems in the sense of weak convergence of probability measures for the Lerch zeta-function with algebraic irrational parameter are obtained.
Genienė, Danutė Regina,
core  

Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties

open access: yesمجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The main object of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function given in [1]. Some recurrence relations, generating functions and integral representations are derived for that new extension.
Ahmed Ali Al-Gonah   +1 more
doaj  

Refinements of Some Recent Inequalities for Certain Special Functions

open access: yesAnnales Mathematicae Silesianae, 2019
The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed   +1 more
doaj   +1 more source

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