Partial sums of certain classes of meromorphic functions related to the Hurwitz-Lerch zeta function

DOI10.7603/S40956-015-0003-8zbMath1492.30048OpenAlexW2226804426MaRDI QIDQ2127175

Firas Ghanim, Sebastien Gaboury, Hari M. Srivastava

Publication date: 20 April 2022

Published in: Moroccan Journal of Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7603/s40956-015-0003-8

zbMATH Keywords

Hadamard productanalytic functionspartial sumsintegral operatorsmeromorphic functionsmeromorphic close-to-convex functionsmeromorphic starlike functionsHurwitz-Lerch zeta functionmeromorphic convex 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 (5)

Partial sums of generalized \(q\)-Mittag-Leffler functions ⋮ Certain subclasses of meromorphically \(q\)-starlike functions associated with the \(q\)-derivative operators ⋮ Partial sums of a generalized class of analytic functions defined by a generalized Srivastava-Attiya operator ⋮ Starlikeness associated with tangent hyperbolic function ⋮ Convolution properties for certain meromorphically multivalent functions

Cites Work

• Partial sums of starlike and convex functions
• Some further properties of a linear operator associated with the \(\lambda\)-generalized Hurwitz-Lerch zeta function related to the class of meromorphically univalent functions
• Some basic properties of certain subclasses of meromorphically starlike functions
• A study of a certain subclass of Hurwitz-Lerch-Zeta function related to a linear operator
• Some inclusion relationships and integral-preserving properties of certain subclasses of meromorphic functions associated with a family of integral operators
• Convolution Properties of a Class of Starlike Functions
• Some formulas for the Bernoulli and Euler polynomials at rational arguments
• Certain subclasses of meromorphically univalent functions defined by a linear operator associated with theλ-generalized Hurwitz–Lerch zeta function
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