Universally prestarlike functions as convolution multipliers

DOI10.1007/s00209-008-0433-3zbMath1181.30011OpenAlexW2081651212MaRDI QIDQ1031848

Stephan Ruscheweyh, Luis C. Salinas

Publication date: 23 October 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/140997

zbMATH Keywords

Bernardi-Libera transformconvolution invarianceuniversally convex functionsuniversally prestarlike functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (11)

Universally prestarlike functions associated with shell like domain ⋮ On geometric properties of the generating function for the Ramanujan sequence ⋮ Suffridge's convolution theorem for polynomials with zeros in the unit disk ⋮ Unnamed Item ⋮ Suffridge's convolution theorem for polynomials and entire functions having only real zeros ⋮ Universally starlike and Pick functions ⋮ Second Hankel determinant for universally prestarlike functions related with exponential function ⋮ An extension of Suffridge's convolution theorem ⋮ A continuous link between the disk and half-plane cases of Grace's theorem ⋮ Universal convexity and universal starlikeness of polylogarithms ⋮ New Pólya-Schoenberg type theorems

Cites Work

• Completely monotone sequences and universally prestarlike functions
• The Hadamard product and linear transformations of classes of analytic functions
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
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