A new class of generalized close-to-starlike functions defined by the Srivastava-Attiya operator

DOI10.1007/s10114-013-2462-zzbMath1293.30038OpenAlexW2051125952MaRDI QIDQ1949651

Dorina Răducanu, Grigore Stefan Sǎlǎgean, Hari M. Srivastava

Publication date: 14 May 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-2462-z

zbMATH Keywords

convex functionsstarlike functionsclose-to-starlike functions

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 (13)

Some further properties of a linear operator associated with the \(\lambda\)-generalized Hurwitz-Lerch zeta function related to the class of meromorphically univalent functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Partial sums of a generalized class of analytic functions defined by a generalized Srivastava-Attiya operator ⋮ Certain problems related to generalized Srivastava–Attiya operator ⋮ A unified class of analytic functions involving a generalization of the Srivastava-Attiya operator ⋮ Unnamed Item ⋮ On certain \(p\)-valent close-to-convex functions of order \(\beta\) and type \(\alpha \) ⋮ A new class of analytic functions defined by means of a generalization of the Srivastava-Attiya operator ⋮ On a new subclass of \(p\)-valent close-to-convex mappings defined by two-sided inequality ⋮ Certain subclasses of meromorphically univalent functions defined by a linear operator associated with theλ-generalized Hurwitz–Lerch zeta function ⋮ Some subordination and superordination results associated with generalized Srivastava-Attiya operator ⋮ Univalence conditions for an integral operator defined by a generalization of the Srivastava-Attiya operator

Cites Work

• Properties for uniformly starlike and related functions under the Srivastava-Attiya operator
• Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
• On close-to-convex univalent functions
• The Hardy space of analytic functions associated with certain one-parameter families of integral operators
• On univalent functions defined by a generalized Sălăgean operator
• Close-to-convexity, starlikeness, and convexity of certain analytic functions
• Some families of the Hurwitz-Lerch zeta functions and associated fractional derivative and other integral representations
• Asymptotic expansions of the Hurwitz--Lerch zeta function
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• 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
• Some Classes of Regular Univalent Functions
• Convex and Starlike Univalent Functions
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