Results 191 to 200 of about 11,866,753 (228)

Caputo Derivative Formulas of Hurwitz-Lerch Zeta Function and Applications

Communications on Applied Nonlinear Analysis
In this paper, we find the fractional derivative formulas of Hurwitz-Lerch Zeta function. Further, we compute the solution of fractional differential equations involving Hurwitz-Lerch Zeta function.
Sandeep Kumar, Owais Khan, N. Khan, N. Ahmad   +3 more
semanticscholar   +1 more source

A Study on Analytic Functions Associated with the Generalized Hurwitz-Lerch zeta Function

University of Zawia Journal of Natural Sciences
In this study, we introduce and investigate new subclasses of analytic functions that are closely related to the generalized Hurwitz-Lerch zeta function.
A. A. Abubaker
semanticscholar   +1 more source

The joint universality of Dirichlet L-functions and Lerch zeta-functions

Siberian Mathematical Journal, 2014
In this paper, the authors start from three fundamental dates for analytic number theory (ANT): {\parindent=6mm \begin{itemize}\item[-] in the 1837 Dirichlet introduced in ANT his ``\(L\)-functions'', with \(\chi=\chi\pmod q\) his characters: \[ L(s,\chi):=\sum_{n=1}^{\infty}\chi(n)/n^{s}; \] \item[-] in the 1857 Lipschitz generalized them (for ANT ...
Laurinčikas, A., Macaitienė, R.
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The Approximation of Analytic Functions Using Shifts of the Lerch Zeta-Function in Short Intervals

Axioms
In this paper, we obtain approximation theorems of classes of analytic functions by shifts L(λ,α,s+iτ) of the Lerch zeta-function for τ∈[T,T+H] where H∈[T27/82,T1/2]. The cases of all parameters, λ,α∈(0,1], are considered.
Antanas Laurinčikas
semanticscholar   +1 more source

On Statistical Properties of the Lerch Zeta‐Function

Lithuanian Mathematical Journal, 2001
The Lerch zeta-function with parameters \(01\) by the Dirichlet series \[ L(\lambda,\alpha,s)=\sum_{n=0}^\infty {\exp(2\pi i\lambda)\over (n+\alpha)^s}, \] and by analytic continuation elsewhere except for at most one simple pole at \(s=1\). Being a generalization of the famous Riemann zeta-function \(\zeta(s)=L(1,1,s)\), the value-distribution of the ...
openaire   +2 more sources

Certain Integral Representation and Fractional Derivatives Associated to a General Function Related to Hurwitz-Lerch Zeta Function

Panamerican Mathematical Journal
In this paper, some integral representation and fractional derivatives of a general function are established. The general function studied in this paper unifies the Mittag-Leffler function and the Hurwitz-Lerch Zeta function.
B. B. Jaimini
semanticscholar   +1 more source

Inclusion and Subordination Features of a Particular Subclass of p -Valent Meromorphic Structure Associated with Hurwitz-Lerch Zeta Function

Asian-European Journal of Mathematics
We investigate inclusion relationship of certain subclass of p-valent meromorphic functions defined in the punctured unit disc, having a pole of order p at the origin.
R. M. El-Ashwah, W. Y. Kota
semanticscholar   +1 more source

Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz-Lerch Zeta Function

Axioms
Fuzzy differential subordinations, a notion taken from fuzzy set theory and used in complex analysis, are the subject of this paper. In this work, we provide an operator and examine the characteristics of meromorphic functions in the punctured open unit ...
Ekram E. Ali, R. El-ashwah, A. Albalahi, Rabab Sidaoui   +3 more
semanticscholar   +1 more source

The Lerch zeta-function. III

2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Integral transform of product of generalized k-Bessel function and generalized Hurwitz-Lerch Zeta function

Journal of Interdisciplinary Mathematics
The paper presents new integral formulae involving product of generalized K-Bessel function of first kind ωγ,α k,ϱ,b,c (z) and Hurwitz-Lerch Zeta (HLZ function) function ϕρ,σ ξ,η (z, s, d) are obtained and presented in terms of the generalized (Wright ...
Sanjay Sharma, N. Menaria
semanticscholar   +1 more source