A certain subclass of meromorphically \(q\)-starlike functions associated with the Janowski functions

DOI10.1186/s13660-019-2020-zzbMath1499.30117OpenAlexW2946191409MaRDI QIDQ2067811

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

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2020-z

zbMATH Keywords

distortion theoremspartial sumsJanowski functionsmeromorphically starlike functions\(q\)-derivative (or \(q\)-difference)radius of \(q\)-starlikeness

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Difference equations, scaling ((q)-differences) (39A13) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (21)

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 \(\alpha\) ⋮ Certain subclasses of meromorphically \(q\)-starlike functions associated with the \(q\)-derivative operators ⋮ Certain subclasses of meromorphic multivalent \(q\)-starlike and \(q\)-convex functions ⋮ 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 ⋮ q-Meromorphic closed-to-convex functions related with Janowski function ⋮ Applications of some generalized Janowski meromorphic multivalent functions ⋮ Coefficient bounds in the class of functions associated with Sakaguchi's functions ⋮ Upper bound of the third Hankel determinant for a subclass of q-Starlike functions associated with the lemniscate of Bernoulli ⋮ Certain subclasses of \(\beta\)-uniformly \(q\)-starlike and \(\beta\)-uniformly \(q\)-convex functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Upper bound of the third Hankel determinant for a subclass of \(q\)-starlike functions associated with the \(q\)-exponential function ⋮ Unnamed Item ⋮ Coefficient inequalities for certain subclasses of multivalent functions associated with conic domain ⋮ Fekete-Szegö inequality for classes of \((p, q)\)-starlike and \((p, q)\)-convex functions ⋮ Some general families of q-starlike functions associated with the Janowski functions ⋮ Certain q-difference operators and their applications to the subclass of meromorphic q-starlike functions ⋮ Some geometric properties of a subclass of multivalent analytic functions defined by the first-order differential subordination

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A generalization of starlike functions of order alpha
• Classes of meromorphic \(\alpha\)-convex functions
• Partial sums of starlike and convex functions
• A unified presentation of some classes of meromorphically multivalent functions
• On meromorphic starlike functions
• On Meromorphic Schlicht Functions
• A generalization of starlike functions
• Meromorphic Starlike Multivalent Functions
• Univalent Functions with Negative Coefficients
• Some extremal problems for certain families of analytic functions I
• Convex Meromorphic Mappings and Related Functions
• On certain meromorphic functions with positive coefficients

This page was built for publication: A certain subclass of meromorphically \(q\)-starlike functions associated with the Janowski functions