Sufficient conditions for strongly star-like functions involving the generalized Srivastava–Attiya operator

DOI10.1080/10652469.2010.498110zbMath1207.30017OpenAlexW1963910948MaRDI QIDQ3074595

Jin-Lin Liu

Publication date: 9 February 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.498110

zbMATH Keywords

subordinationHadamard productstrongly starlike functionSrivastava-Attiya operatorHurwitz-Lerch zeta function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Hurwitz and Lerch zeta functions (11M35) Polynomials and rational functions of one complex variable (30C10)

Related Items (7)

Some properties of the generalized Srivastava–Attiya operator ⋮ Convolution properties of \(p\)-valent functions associated with a generalization of the Srivastava-Attiya operator ⋮ Differential subordination results for certain integrodifferential operator and its applications ⋮ Unnamed Item ⋮ Geometric properties for a family of holomorphic functions associated with Wanas operator defined on complex Hilbert space ⋮ Certain integral operator related to the Hurwitz-Lerch zeta function ⋮ A generalization of the Srivastava–Attiya transform and associated classes

Cites Work

• Unnamed Item
• Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
• On a generalization class of bounded starlike functions of complex order
• Fekete-Szegő problem for strongly starlike functions associated with generalized hypergeometric functions
• Inclusion and neighborhood properties for certain classes of multivalently analytic functions of complex order associated with the convolution structure
• Some subclasses of meromorphically multivalent functions associated with the generalized hypergeometric function
• The Hardy space of analytic functions associated with certain one-parameter families of integral operators
• Some families of the Hurwitz-Lerch zeta functions and associated fractional derivative and other integral representations
• Asymptotic expansions of the Hurwitz--Lerch zeta function
• Certain families of series associated with the Hurwitz--Lerch zeta function
• Subordinations for multivalent analytic functions associated with the Dziok–Srivastava operator
• Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions
• Some expansion formulas for a class of generalized Hurwitz–Lerch Zeta functions
• An integral operator associated with the Hurwitz–Lerch Zeta function and differential subordination
• Subordinations for certain multivalent analytic functions associated with the generalized Srivastava–Attiya operator
• Certain subclasses of multivalent analytic functions involving the generalized Srivastava–Attiya operator
• Strong differential subordination and superordination for multivalently meromorphic functions involving the Liu–Srivastava operator
• A class of multivalently analytic functions associated with the Dziok–Srivastava operator
• Integral representations for the Gamma function, the Beta function, and the Double Gamma function
• Some inclusion properties for certain subclasses of strongly starlike and strongly convex functions involving a family of fractional integral operators
• A new class of analytic functions defined by means of a convolution operator involving the Hurwitz–Lerch Zeta function
• On sandwich results for some subclasses of analytic functions involving certain linear operator
• The Noor integral and strongly starlike functions

This page was built for publication: Sufficient conditions for strongly star-like functions involving the generalized Srivastava–Attiya operator