Results 71 to 80 of about 5,223,805 (173)

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

A joint universality theorem for the riemann zeta-function and lerch zeta-function. [PDF]

open access: yes, 2017
A joint universality theorem for the Riemann zeta-function and Lerch zeta ...
Franckevič, Violeta,
core  

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

Zeros of derivative of Lerch's zeta-function

open access: yesAdvanced Studies in Pure Mathematics, 2020
In this paper, we study the distribution of the zeros of the derivative of the Lerch zeta-function. We indicate the zero-free regions and the positions of the trivial zeros. Also, we consider an asymptotic formula for the number of nontrivial zeros and show that almost all nontrivial zeros are arbitrarily close to the critical line.
Garunkštis, Ramūnas   +2 more
openaire   +2 more sources

A Study of a Certain Subclass of Hurwitz-Lerch-Zeta Function Related to a Linear Operator

open access: yesAbstract and Applied Analysis, 2013
By using a linear operator with Hurwitz-Lerch-Zeta function, which is defined here by means of the Hadamard product (or convolution), the author investigates interesting properties of certain subclasses of meromorphically univalent functions in the ...
F. Ghanim
doaj   +1 more source

Joint universality for Lerch zeta-functions

open access: yesJournal of the Mathematical Society of Japan, 2017
For $01$. In this paper, we prove joint universality for Lerch zeta-functions with distinct $λ_1,\ldots,λ_m$ and transcendental $α$.
LEE, Yoonbok   +2 more
openaire   +3 more sources

New results for Srivastava’s λ-generalized Hurwitz-Lerch Zeta function

open access: yes, 2017
In view of the relationship with the Kr?tzel function, we derive a new series representation for the ?-generalized Hurwitz-Lerch Zeta function introduced by H.M. Srivastava [Appl. Math. Inf. Sci.
R.K. Raina, Min-Jie Luo
core   +1 more source

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  

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