Subordination results for spiral-like functions associated with the Srivastava–Attiya operator

DOI10.1080/10652469.2011.562501zbMath1244.30015OpenAlexW2018296296MaRDI QIDQ2880444

Gangadharan Murugusundaramoorthy

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1080/10652469.2011.562501

zbMATH Keywords

Hadamard productunivalent functionsstarlike functionsspirallike functionssubordinating factor sequenceHurwitz-Lerch zeta functiongeneralized Srivastava-Attiya operator

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (12)

Convolution properties of \(p\)-valent functions associated with a generalization of the Srivastava-Attiya operator ⋮ Notes on certain multivalent analytic functions associated with a linear operator ⋮ Certain subclasses of spirallike univalent functions related to Poisson distribution series ⋮ Differential subordination results for certain integrodifferential operator and its applications ⋮ Unnamed Item ⋮ Bi-starlike function of complex order associated with double zeta functions ⋮ Geometric properties for a family of holomorphic functions associated with Wanas operator defined on complex Hilbert space ⋮ Coefficient estimates and other properties for a class of spirallike functions associated with a differential operator ⋮ A class of spirallike functions defined by Ruscheweyh-type $q$-difference operator ⋮ Poisson distribution results for \(\vartheta\)-spirallike functions of order \(\gamma\) ⋮ Spiral-like functions associated with Miller-Ross-type Poisson distribution series ⋮ Certain subclasses of spirallike univalent functions related with generalized distribution series

Cites Work

• Unnamed Item
• The Hardy space of analytic functions associated with certain one-parameter families of integral operators
• Sufficient conditions for spiral-likeness
• A subordination theorem for spirallike functions
• The Choi-Saigo-Srivastava integral operator and a class of analytic functions
• Some inclusion properties of a certain family 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
• The dual of an inequality of Hardy and Littlewood and some related inequalities
• Certain families of series associated with the Hurwitz--Lerch zeta function
• 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
• A new class of analytic functions defined by means of a convolution operator involving the Hurwitz–Lerch Zeta function
• Univalent α-Spiral Functions

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