Results 51 to 60 of about 1,008 (122)

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 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

Interpolation function of the genocchi type polynomials

, 2010
The main purpose of this paper is to construct not only generating functions of the new approach Genocchi type numbers and polynomials but also interpolation function of these numbers and polynomials which are related to a, b, c arbitrary positive real ...
Apostol T. M., Apostol T. M., Burak Kurt, Choi J., H. M. Srivastava, Jang L.-C., Jang L.-C., Jang L.-C., Kim T., Kim T., Kim T., Kim T., Kim T., Luo Q.-M., Luo Q.-M., Luo Q.-M., Luo Q.-M., Ozden H., Simsek Y., Srivastava H. M., Srivastava H. M., Srivastava H. M., Yilmaz Simsek, Zhang Z.-Z.   +23 more
core   +1 more source

Hankel and Toeplitz Determinants for q‐Starlike Functions Involving a q‐Analog Integral Operator and q‐Exponential Function

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q‐starlike functions defined by a q‐analog integral operator, which is a more general form of the q‐Srivastava‐Attiya operator, and the q‐exponential function eq(z).
Sarem H. Hadi, Maslina Darus, Rabha W. Ibrahim, Samuel Nicolay   +3 more
wiley   +1 more source

A new extension of Hurwitz-Lerch Zeta function

, 2018
The main objective of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function in terms of extended beta function. We then investigate its important properties such as integral representations, differential formulas, Mellin transform and certain generating relations.
Rahman, Gauhar, Nisar, Kottakkaran Sooppy, Arshad, Muhammad   +2 more
openaire   +2 more sources

Refinements of Some Recent Inequalities for Certain Special Functions

Annales Mathematicae Silesianae, 2019
The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed, Ighachane Mohamed Amine   +1 more
doaj   +1 more source