The radius of convexity of partial sums of convex functions in one direction

DOI10.1007/s40010-017-0348-7zbMath1381.30013OpenAlexW2591399095MaRDI QIDQ1700280

Sudhananda Maharana, Hari M. Srivastava, Jugal Kishore Prajapat

Publication date: 5 March 2018

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-017-0348-7

zbMATH Keywords

convex functionsstarlikeconvex function in one directionunivalentanalyticradius of convexityclose-to-convexHurwitz-Lerch zeta function

Mathematics Subject Classification ID

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

Related Items (7)

Partial sums of generalized \(q\)-Mittag-Leffler functions ⋮ Certain subclasses of meromorphically \(q\)-starlike functions associated with the \(q\)-derivative operators ⋮ Norm of the pre-Schwarzian derivative, Bloch's constant and coefficient bounds in some classes of harmonic mappings ⋮ Partial sums of a generalized class of analytic functions defined by a generalized Srivastava-Attiya operator ⋮ Radius problem for the class of analytic functions based on Ruscheweyh derivative ⋮ Majorization results for subclasses of starlike functions based on the sine and cosine functions ⋮ On logarithmic coefficients of certain starlike functions related to the vertical strip

Cites Work

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• Analytic functions convex in one direction
• The partial sums of multivalently starlike functions
• Injectivity and Starlikeness of Sections of a Class of Univalent Functions
• Some sufficient conditions for univalence and starlikeness
• Criteria for the Extremality of the Koebe Mapping
• Extension of Szegö’s Theorem on the Sections of Univalent Functions

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