Results 41 to 50 of about 917 (128)

A procedure for generating infinite series identities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
A procedure for generating infinite series identities makes use of the generalized method of exhaustion by analytically evaluating the inner series of the resulting double summation.
Anthony A. Ruffa
doaj   +1 more source

Refinements of Some Recent Inequalities for Certain Special Functions

open access: yesAnnales 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   +1 more
doaj   +1 more source

Some New Symmetric Identities for the q-Zeta Type Functions

open access: yes, 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   +3 more
core   +1 more source

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

open access: yesJournal 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   +3 more
wiley   +1 more source

On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator

open access: yesJournal of Mathematical and Fundamental Sciences, 2017
In this article, a new linear differential operator I^k (L_s^a (a_l,b_m )f(z)) is defined by using the Hadamard product of the q-hypergeometric function and a function related to the Hurwitz-Lerch zeta function. By using this linear differential operator,
Khalid Challab   +2 more
doaj   +1 more source

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

open access: yesJournal 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

q-Analogues of the Barnes multiple zeta functions

open access: yes, 2004
In this paper, we introduce $q$-analogues of the Barnes multiple zeta functions. We show that these functions can be extended meromorphically to the whole plane, and moreover, tend to the Barnes multiple zeta functions when $q\uparrow 1$ for all complex ...
Yamasaki, Yoshinori
core   +2 more sources

Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function

open access: yesMoroccan Journal of Pure and Applied Analysis, 2015
In the present paper, we give sufficient conditions for a function f to be in the subclasses ΣS*a,s (A. B, α, β) and ΣKa,s (A, B, α, β) of the class Σ of meromorphic functions which are analytic in the punctured unit disk U*.
Srivastava H. M., Gaboury S., Ghanim F.
doaj   +1 more source

On Generalized Hurwitz-Lerch Zeta Distributions [PDF]

open access: yes, 2009
In this paper, we introduce a function which is an extension to the general Hurwitz-Lerch Zeta function. Having defined the incomplete generalized beta type-2 and incomplete generalized gamma functions, some differentiation formulae are established for ...
Garg, Mridula   +2 more
core   +1 more source

Interpolation function of the genocchi type polynomials

open access: yes, 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.   +23 more
core   +1 more source

Home - About - Disclaimer - Privacy