Results 61 to 70 of about 1,008 (140)

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

Approximate functional equations for the Hurwitz and Lerch zeta-functions [PDF]

, 2017
As one of the asymptotic formulas for the zeta-function, Hardy and Littlewood gave asymptotic formulas called the approximate functional equation. In 2003, R. Garunk\v{s}tis, A. Laurin\v{c}ikas, and J.
Miyagawa, Takashi
core   +2 more sources

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

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

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

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

New Trends on Analytic Function Theory

, 2019
Journal of Complex Analysis, Volume 2019, Issue 1, 2019.
Serap Bulut, Stanislawa Kanas, Pranay Goswami   +2 more
wiley   +1 more source

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

Moroccan 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

The Zeta and Related Functions: Recent Developments

Journal of Advanced Engineering and Computation, 2019
The main object of this survey-cum-expository article is to present an overview of some recent developments involving the Riemann Zeta function ζ(s), the Hurwitz (or generalized) Zeta function ζ(s, a), and the Hurwitz-Lerch Zeta function Φ(z, s, a ...
H. M. Srivastava
doaj   +1 more source

Third order differential subordination and superordination results for analytic functions involving the Srivastava-Attiya operator

, 2018
In this article, by making use of the linear operator introduced and studied by Srivastava and Attiya \cite{srivastava1}, suitable classes of admissible functions are investigated and the dual properties of the third-order differential subordinations are
Gochhayat, P., Prajapati, A., Srivastava, H. M.   +2 more
core   +1 more source