Some properties of linear operators defined by hypergeometric functions

DOI10.1007/s13226-019-0317-8OpenAlexW2919203820WikidataQ128277948 ScholiaQ128277948MaRDI QIDQ2327585

Z. Orouji, R. Aghalary

Publication date: 15 October 2019

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-019-0317-8

zbMATH Keywords

fractional derivativenontangential limitsPochhammer symboluniformly locally univalent\(\alpha\)-logarithmic Bloch spaces

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) Geometric function theory (30Cxx) Topological linear spaces and related structures (46Axx) Commutative Banach algebras and commutative topological algebras (46Jxx)

Cites Work

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• Univalent functions, \(VMOA\) and related spaces
• Radial growth of the derivative of univalent functions
• Uniformly locally univalent functions and Hardy spaces
• A certain one-parameter additive family of operators defined on analytic functions
• A class of distortion theorems involving certain operators of fractional calculus
• Toeplitz and Hankel operators on Bergman one space
• The Hardy space of analytic functions associated with certain one-parameter families of integral operators
• Growth and coefficient estimates for uniformly locally univalent functions on the unit disk.
• Toeplitz operators on Bloch-type spaces

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