A certain subclass of analytic functions involving operators of fractional calculus
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Publication:1129524
DOI10.1016/S0898-1221(98)00007-8zbMath0921.30012OpenAlexW2051946982MaRDI QIDQ1129524
Ming-Po Chen, Hari M. Srivastava, Hüseyin Irmak
Publication date: 20 August 1998
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0898-1221(98)00007-8
Fractional derivatives and integrals (26A33) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Classical hypergeometric functions, ({}_2F_1) (33C05)
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Some results concerning the Tremblay operator and some of its applications to certain analytic functions ⋮ Neighborhoods of certain \(p\)-valently analytic functions with negative coefficients ⋮ Various operators in relation to fractional order calculus and some of their applications to normalized analytic functions in the open unit disk ⋮ A note on some elementary properties and applications of certain operators to certain functions analytic in the unit disk ⋮ An application of fractional calculus to a new class of multivalent functions with negative coefficients ⋮ A few complex equations constituted by an operator consisting of fractional calculus and their consequences ⋮ Some computational results for functions belonging to a family consisting of Cauchy-Euler type differential equation ⋮ Unnamed Item
Cites Work
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- A certain subclass of analytic functions associated with operators of fractional calculus
- A subclass of analytic functions defined by using certain operators of fractional calculus
- Univalent and Starlike Generalized Hypergeometric Functions
- Successive Coefficients of Univalent Functions
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