Upper and lower bounds of integral operator defined by the fractional hypergeometric function

DOI10.1515/MATH-2015-0071zbMath1350.30022OpenAlexW2565828024MaRDI QIDQ317745

Rabha W. Ibrahim, M. Z. Ahmad, Hiba F. Al-Janaby

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2015-0071

zbMATH Keywords

subordinationnew classes of analytic functions in the diskGauss hypergeometric functions

Mathematics Subject Classification ID

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

Related Items (1)

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• Generating functions for the generalized Gauss hypergeometric functions
• Some results on the extended beta and extended hypergeometric functions
• Third-order differential subordination and superordination involving a fractional operator
• Nonlinear dynamics for local fractional Burgers' equation arising in fractal flow
• On generalized Hyers-Ulam stability of admissible functions
• Boundary fractional differential equation in a complex domain
• Integral operators defined by convolution with hypergeometric functions
• New classes of analytic functions involving generalized noor integral operator
• Fractal time series -- A tutorial review
• A proof of the Bieberbach conjecture
• Modified fractional Cauchy problem in a complex domain
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Long memory processes and fractional integration in econometrics
• An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives
• Discrete fractional logistic map and its chaos
• Extended Riemann-Liouville fractional derivative operator and its applications
• Initial value problems in discrete fractional calculus
• New Criteria for Univalent Functions
• A Subordination Theorem for Ф-Like Functions
• Subordinants of differential superordinations
• 𝜙-like analytic functions. I
• Fractional Cauchy Problem in Sense of the Complex Hadamard Operators
• Studies on Generalized Fractional Operators in Complex Domain
• Fractional Brownian Motions, Fractional Noises and Applications

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