Some applications for generalized fractional operators in analytic functions spaces

DOI10.11568/KJM.2019.27.3.581zbMath1427.30022OpenAlexW2977856592MaRDI QIDQ5204515

Zainab E. Abdulnaby, Adem Kilicman

Publication date: 4 December 2019

Full work available at URL: http://kkms.org/index.php/kjm/article/download/713/480

zbMATH Keywords

Bloch spaceanalytic functionsgeneralized Gauss hypergeometric functionnormalized functionsSrivastava-Owa fractional operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Gamma, beta and polygamma functions (33B15) General theory of univalent and multivalent functions of one complex variable (30C55)

Cites Work

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• Generating functions for the generalized Gauss hypergeometric functions
• On generalized Srivastava-Owa fractional operators in the unit disk
• A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions
• Extension of Euler's beta function
• A class of distortion theorems involving certain operators of fractional calculus
• The incomplete Pochhammer symbols and their applications to hypergeometric and related functions
• Boundedness of fractional differential operator in complex spaces

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