Results 31 to 40 of about 111 (90)

Solution of fractional kinetic equations involving generalized Hurwitz-Lerch Zeta function using Sumudu Transform

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021
Summary: Fractional kinetic equations (FKEs) comprising a large array of special functions have been extensively and successfully applied in specification and solving many significant problems of astrophysics and physics. In this present work, our aim is to demonstrate solutions of (FKEs) of the generalized Hurwitz-Lerch Zeta function by applying the ...
YAĞCI, Oğuz, ŞAHİN, Recep
openaire   +6 more sources

Geometric Studies on Inequalities of Harmonic Functions in a Complex Field Based on ξ-Generalized Hurwitz-Lerch Zeta Function

Iranian Journal of Mathematical Sciences and Informatics, 2023
Summary: Authors, define and establish a new subclass of harmonic regular schlicht functions (HSF) in the open unit disc through the use of the extended generalized Noor-type integral operator associated with the \(\xi\)-generalized Hurwitz-Lerch Zeta function (GHLZF). Furthermore, some geometric properties of this subclass are also studied.
Al-Janaby, Hiba F., Ghanim, F., Agarwal, P.   +2 more
openaire   +2 more sources

A New Family of the λ -Generalized Hurwitz-Lerch Zeta Functions with Applications [PDF]

Applied Mathematics & Information Sciences, 2014
Motivated largely by a number of recent investigations, we introduce and investigate the various properties of a certain new family of the λ -generalized Hurwitz-Lerch zeta functions. We derive many potentially useful results involving these λ -generalized Hurwitz-Lerch zeta functions including (for example) their partial differ ential equations, new ...
openaire   +1 more source

Some Difference Equations for Srivastava’s λ-Generalized Hurwitz–Lerch Zeta Functions with Applications [PDF]

Symmetry, 2019
In this article, we establish some new difference equations for the family of λ-generalized Hurwitz–Lerch zeta functions. These difference equations proved worthwhile to study these newly defined functions in terms of simpler functions. Several authors investigated such functions and their analytic properties, but no work has been reported for an ...
openaire   +1 more source

New Relations Involving an Extended Multiparameter Hurwitz‐Lerch Zeta Function with Applications

International Journal of Analysis, Volume 2014, Issue 1, 2014., 2014
We derive several new expansion formulas involving an extended multiparameter Hurwitz‐Lerch zeta function introduced and studied recently by Srivastava et al. (2011). These expansions are obtained by using some fractional calculus methods such as the generalized Leibniz rules, the Taylor‐like expansions in terms of different functions, and the ...
H. M. Srivastava, Sébastien Gaboury, Richard Tremblay, Shamsul Qamar   +3 more
wiley   +1 more source

Inclusion Properties of New Classes of Analytic Functions

Chinese Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014
The purpose of the present paper is to introduce certain new subclasses of analytic functions defined by Srivastava‐Attiya operator and study their inclusion relationships and to obtain some interesting consequences of the inclusion relations.
Mohan Das, Ramesha Chendady, Indira Kasarkod Pal, Shaoqiang Deng, Yuqiang Feng   +4 more
wiley   +1 more source

On Convoluted Forms of Multivariate Legendre-Hermite Polynomials with Algebraic Matrix Based Approach

Mathematics
The main purpose of this article is to construct a new class of multivariate Legendre-Hermite-Apostol type Frobenius-Euler polynomials. A number of significant analytical characterizations of these polynomials using various generating function techniques
Mumtaz Riyasat, Amal S. Alali, Shahid Ahmad Wani, Subuhi Khan   +3 more
doaj   +1 more source

Convolution Properties of p‐Valent Functions Associated with a Generalization of the Srivastava‐Attiya Operator

Journal of Complex Analysis, Volume 2013, Issue 1, 2013., 2013
Let 𝒜p denote the class of functions analytic in the open unit disc 𝕌 and given by the series f(z)=zp+∑n=p+1∞anzn. For f ∈ 𝒜p, the transformation ℐp,δλ:𝒜p→𝒜p defined by ℐp,δλf(z)=zp+∑n=p+1∞((p+δ)/(n+δ))λanzn, (δ+p∈ℂ∖ℤ0-, λ∈ℂ; z∈𝕌), has been recently studied as fractional differintegral operator by Mishra and Gochhayat (2010).
Priyabrat Gochhayat, Jacek Dziok
wiley   +1 more source

On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas

Contributions to Plasma Physics, Volume 65, Issue 8-9, October 2025.
ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias, Tobias Dornheim, Jan Vorberger   +2 more
wiley   +1 more source

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

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 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 punctured unit disk U*.
F. Ghanim, Mohamed Amal Aouf
wiley   +1 more source