Some properties of analytic functions associated with fractional q-calculus operators

DOI10.18514/MMN.2019.3046zbMath1463.30087MaRDI QIDQ5218019

M. K. Aouf, Hari M. Srivastava, Adela Osman Mostafa

Publication date: 26 February 2020

Published in: Miskolc Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

extreme pointsanalytic functions\(q\)-gamma functionscoefficient estimatesstarlike functions of complex ordergrowth and distortion theoremsconvex functions of complex orderclose-to-convex functions of complex orderfractional \(q\)-calculus operatorsradii of close-to-convexitystarlikeness and convexity

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) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (13)

Applications of a certain \(q\)-integral operator to the subclasses of analytic and bi-univalent functions ⋮ Hankel and Toeplitz determinant for a subclass of multivalent \(q\)-starlike functions of order \(\alpha\) ⋮ Convolution properties of meromorphically harmonic functions defined by a generalized convolution \(q\)-derivative operator ⋮ A certain \(q\)-Ruscheweyh type derivative operator and its applications involving multivalent functions ⋮ Higher-order \(q\)-derivatives and their applications to subclasses of multivalent Janowski type \(q\)-starlike functions ⋮ Some applications of \(q\)-difference operator involving a family of meromorphic harmonic functions ⋮ Coefficient and Fekete-Szegö problem estimates for certain subclass of analytic and bi-univalent functions ⋮ Starlikeness associated with tangent hyperbolic function ⋮ Sufficiency for nephroid starlikeness using hypergeometric functions ⋮ Subordination results for analytic functions associated with fractional \(q\)-calculus operators with complex order ⋮ Upper bound of the third Hankel determinant for a subclass of \(q\)-starlike functions associated with the \(q\)-exponential function ⋮ Coefficient inequalities for certain subclasses of multivalent functions associated with conic domain ⋮ Bernardi integral operator and its application to the fourth Hankel determinant

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