Results 31 to 40 of about 960 (95)

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

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

Differential Subordination Results for Certain Integrodifferential Operator and Its Applications

Abstract 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

Limiting Values and Functional and Difference Equations

Mathematics, 2020
Boundary behavior of a given important function or its limit values are essential in the whole spectrum of mathematics and science. We consider some tractable cases of limit values in which either a difference of two ingredients or a difference equation ...
N.-L. Wang, Praveen Agarwal, S. Kanemitsu   +2 more
doaj   +1 more source

New Expansion Formulas for a Family of the λ‐Generalized Hurwitz‐Lerch Zeta Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014
We derive several new expansion formulas for a new family of the λ‐generalized Hurwitz‐Lerch zeta functions which were introduced by Srivastava (2014). These expansion formulas are obtained by making use of some important fractional calculus theorems such as the generalized Leibniz rules, the Taylor‐like expansions in terms of different functions, and ...
H. M. Srivastava, Sébastien Gaboury, Serkan Araci   +2 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

Some New Symmetric Identities for the q-Zeta Type Functions

, 2013
The main object of this paper is to obtain several symmetric properties of the q-Zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials.
Araci, Serkan, Bagdasaryan, Armen, Ozel, Cenap, Srivastava, H. M.   +3 more
core   +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

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

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