Results 51 to 60 of about 146 (114)
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 +4 more
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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 +3 more
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An extension of the generalized Hurwitz-Lerch Zeta function of two variables
Filomat, 2017 The main object of this paper is to introduce a new extension of the generalized Hurwitz-Lerch Zeta functions of two variables. We then systematically investigate such its several interesting properties and related formulas as (for example) various integral representations, which provide certain new and known extensions of earlier ...
Choi, Junesang, Parmar, Rakesh K.
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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
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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 +1 more
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Jackson's integral of multiple Hurwitz–Lerch zeta functions and multiple gamma functions [PDF]
Journal of Mathematical Analysis and Applications, 2018 Using the Jackson integral, we obtain the $q$-integral analogue of the Raabe type formulas for Barnes multiple Hurwitz-Lerch zeta functions and Barnes and Vardi's multiple gamma functions. Our results generalize $q$-integral analogue of the Raabe type formulas for the Hurwitz zeta functions and log gamma functions in [N. Kurokawa, K.
Su Hu, Daeyeoul Kim, Min-Soo Kim
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MathematicsThe 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 +3 more
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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
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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.
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New Trends on Analytic Function Theory
, 2019 Journal of Complex Analysis, Volume 2019, Issue 1, 2019.
Serap Bulut +2 more
wiley +1 more source