Results 31 to 40 of about 917 (128)

On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions

Mathematics, 2020
In the z- domain, differential subordination is a complex technique of geometric function theory based on the idea of differential inequality. It has formulas in terms of the first, second and third derivatives.
Hiba Al-Janaby, Firas Ghanim, Maslina Darus   +2 more
doaj   +1 more source

On a Hurwitz-Lerch zeta type function and its applications

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Prajapat, J. K., Raina, R. K., Sokół, J.   +2 more
openaire   +3 more sources

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

Symmetry, 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. All the results in this work are new.
Robert Reynolds, Allan Stauffer
openaire   +1 more source

Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function

Journal of Complex Analysis, Volume 2018, Issue 1, 2018., 2018
The aim of the present paper is to investigate several third‐order differential subordinations, differential superordination properties, and sandwich‐type theorems of an integral operator Ws,bf(z) involving the Hurwitz–Lerch Zeta function. We make some applications of the operator Ws,bf(z) for meromorphic functions.
Xiao-Yuan Wang, Lei Shi, Zhi-Ren Wang, Pranay Goswami   +3 more
wiley   +1 more source

Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function

Mathematics
The findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function.
Ekram E. Ali, Rabha M. El-Ashwah, Nicoleta Breaz, Abeer M. Albalahi   +3 more
doaj   +1 more source

Further extension of the generalized Hurwitz-Lerch Zeta function of two variables

, 2019
The main aim of this paper is to give a new generalization of Hurwitz-Lerch Zeta function of two variables.Also, we investigate several interesting properties such as integral representations, summation formula and a connection with generalized ...
Nisar, Kottakkaran Sooppy
core   +1 more source

New Results Involving a Class of Generalized Hurwitz-Lerch Zeta Functions and Their Applications [PDF]

Turkish Journal of Analysis and Number Theory, 2016
In this paper, we study a certain class of generalized Hurwitz-Lerch zeta functions. We derive several new and useful properties of these generalized Hurwitz-Lerch zeta functions such as (for example) their partial differential equations, new series and Mellin-Barnes type contour integral representations involving Fox’s H-function and a pair of ...
H. M. Srivastava, Min-Jie Luo, R. K. Raina   +2 more
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