Results 41 to 50 of about 1,217 (112)

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

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

Note on the Hurwitz-Lerch Zeta Function of Two Variables

Symmetry, 2020
A number of generalized Hurwitz–Lerch zeta functions have been presented and investigated. In this study, by choosing a known extended Hurwitz–Lerch zeta function of two variables, which has been very recently presented, in a systematic way, we propose ...
Junesang Choi, R. Sahin, Oguz Yagci, Dojin Kim   +3 more
semanticscholar   +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

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

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

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

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

On Generalized Hurwitz-Lerch Zeta Distributions [PDF]

, 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, Jain, Kumkum, Kalla, S. L.   +2 more
core   +1 more source