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Fractional Calculus and Hypergeometric Functions in Complex Analysis
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This reprint of the Special Issue on "Fractional Calculus and Hypergeometric Functions in Complex Analysis" has resulted in the publication of articles covering a wide range of topics. For example, the powerful and prolific tools provided by fractional calculus are combined with hypergeometric functions, which generates exciting results when integrated into studies. Quantum calculus is also involved in various investigations, alongside fractional calculus notions and methods, resulting in new, powerful operators for application in geometric function theory and other connected fields of research. Scholars studying applications of fractional calculus and hypergeometric functions in complex analysis and related fields should find this Special Issue interesting.
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Keywords
- analytic function
- Analytic functions
- Bailey quadratic transformation
- bi-univalent function
- bi-univalent functions
- collocation method
- Convex functions
- convolution
- differential subordination
- Error analysis
- Euler polynomials
- exponential function
- Faber polynomial expansion
- Fekete–Szegő problem
- Fractional calculus
- fractional differential equation
- fractional differential operator
- fractional integral of order ?
- fractional kinetic equations
- fractional-order equations
- generalized domain
- generalized hypergeometric function
- Hankel determinant
- Hermite–Hadamard inequalities
- incomplete Wright hypergeometric functions
- Janowski functions
- Kampé de Fériet’s double hypergeometric function
- left and right exponential trigonometric convex interval-valued mappings
- left-sided Riemann–Liouville fractional integral
- libera integral operator
- Liouville–Caputo’s fractional derivative operator
- logarithmic coefficient
- meromorphic multivalent q-starlike functions
- n/a
- pathway-type transform
- q-derivative operator
- q-difference operator
- q-integral operator
- q-starlike and q-convex functions
- quantum (or q-) calculus
- quantum calculus
- Riemann–Liouville fractional integral operators having exponential kernels
- S?l?gean q-differential operator
- second Hankel determinant
- series rearrangement technique
- sharp upper bound
- Srivastava–Daoust double hypergeometric function
- starlike function
- starlike functions
- strongly of order ?
- subordination
- subordination and superordination
- Tau method
- thema EDItEUR::U Computing and Information Technology::UY Computer science
- univalent function
- univalent functions
- Whipple transformations
Links
DOI: 10.3390/books978-3-7258-1097-0Editions