A generalized conic domain and its applications to certain subclasses of analytic functions

DOI10.1216/RMJ-2019-49-7-2325zbMath1446.30030MaRDI QIDQ2288246

Qazi Zahoor Ahmad, Bilal Khan, Muhammad Tahir, Nazar Khan, Hari M. Srivastava

Publication date: 17 January 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1575774140

zbMATH Keywords

analytic functions\(q\)-hypergeometric functionsclose-to-convex\(q\)-derivative operator\(q\)-star-like functions\(q\)-close-to-convex functions

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (16)

Some inequalities on Bazilevič class of functions involving quasi-subordination ⋮ Applications of a certain \(q\)-integral operator to the subclasses of analytic and bi-univalent functions ⋮ Applications of higher-order \(q\)-derivatives to the subclass of \(q\)-starlike functions associated with the Janowski functions ⋮ Hankel and Toeplitz determinant for a subclass of multivalent \(q\)-starlike functions of order \(\alpha\) ⋮ A generalized conic domain and its applications to certain subclasses of multivalent functions associated with the basic (or \(q \)-) calculus ⋮ Certain subclass of analytic functions with respect to symmetric points associated with conic region ⋮ Inclusion relations of \(q\)-Bessel functions associated with generalized conic domain ⋮ 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 ⋮ Properties of meromorphic spiral-like functions associated with symmetric functions ⋮ Coefficient problems of quasi-convex mappings of type B on the unit ball in complex Banach spaces ⋮ Sufficiency for nephroid starlikeness using hypergeometric functions ⋮ Unnamed Item ⋮ Upper bound of the third Hankel determinant for a subclass of \(q\)-starlike functions associated with the \(q\)-exponential function ⋮ Certain class of analytic functions connected with \(q\)-analogue of the Bessel function ⋮ Coefficient inequalities for certain subclasses of multivalent functions associated with conic domain

Cites Work

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• Certain properties of some families of generalized starlike functions with respect to \(q\)-calculus
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• Some general classes of \(q\)-starlike functions associated with the Janowski functions
• Some applications of a \(q\)-analogue of the Ruscheweyh type operator for multivalent functions
• Upper bound of the third Hankel determinant for a subclass of \(q\)-starlike functions
• Close-to-convex schlicht functions
• On a generalization of close-to-convex functions
• Mapping properties of basic hypergeometric functions
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• Linear operators associated withk-uniformly convex functions
• On the Coefficients of Subordinate Functions

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