Boundedness of fractional differential operator in complex spaces

DOI10.1142/S1793557117500759zbMath1386.30019MaRDI QIDQ4595155

Rabha W. Ibrahim, Zainab E. Abdulnaby, Adem Kilicman

Publication date: 28 November 2017

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Laguerre functionsunivalent functionconvolution productanalytic functionshypergeometric functionunit diskfractional differential operator

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (1)

Some applications for generalized fractional operators in analytic functions spaces

Uses Software

• SumTools

Cites Work

• Boundary fractional differential equation in a complex domain
• Convolution theorems for a class of bounded convex functions
• A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients
• On some analytic functions associated with the linear operators satisfying certain recurring relations
• Argument inequalities of certain subclass of multivalent functions defined by using new integral operator
• Starlike and Prestarlike Hypergeometric Functions
• Maximum principle for certain generalized time and space fractional diffusion equations
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