Upper bound of the third Hankel determinant for a subclass of \(q\)-starlike functions associated with the \(q\)-exponential function

DOI10.1016/j.bulsci.2020.102942zbMath1459.05020OpenAlexW3128126701WikidataQ115581141 ScholiaQ115581141MaRDI QIDQ1997732

Nasir Khan, Sarfraz Ahmad, Bilal Khan, Nazar Khan, Muhammad Tahir, Hari M. Srivastava

Publication date: 6 March 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2020.102942

zbMATH Keywords

Hankel determinantanalytic functions\(q\)-difference operator\(q\)-exponential function\(q\)-derivative operator\(q\)-star-like functions

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Linear operators on function spaces (general) (47B38)

Related Items (14)

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 ⋮ The sharp bound of the third Hankel determinant for starlike functions of order 1/2 ⋮ 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 sharp results on coefficient estimate problems for four-leaf-type bounded turning functions ⋮ Sufficiency for nephroid starlikeness using hypergeometric functions ⋮ A Study of Sharp Coefficient Bounds for a New Subfamily of Starlike Functions ⋮ Coefficient bound associated with certain Hankel determinants and Zalcman conjecture for a subfamily of multivalent bounded turning functions ⋮ Some sharp bounds of the third-order Hankel determinant for the inverses of the Ozaki type close-to-convex functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Littlewood-Paley conjecture associated with certain classes of analytic functions ⋮ A study of sharp coefficient bounds for a new subfamily of starlike functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Coefficient inequality for \(q\)-starlike functions
• Differential subordinations and univalent functions
• Certain properties of some families of generalized starlike functions with respect to \(q\)-calculus
• Some subordination results on \(q\)-analogue of Ruscheweyh differential operator
• Certain properties of \(q\)-hypergeometric functions
• Some coefficient inequalities of q-starlike functions associated with conic domain defined by q-derivative
• Coefficient inequalities for \(q\)-starlike functions associated with the Janowski functions
• On a subclass of strongly starlike functions associated with exponential function
• A certain subclass of meromorphically \(q\)-starlike functions associated with the Janowski functions
• A generalized conic domain and its applications to certain subclasses of analytic functions
• Some general classes of \(q\)-starlike functions associated with the Janowski functions
• The second Hankel determinant for a certain class of bi-close-to-convex functions
• Fekete-Szegö inequality for classes of \((p, q)\)-starlike and \((p, q)\)-convex functions
• Upper bound of the third Hankel determinant for a subclass of \(q\)-starlike functions
• An investigation of the third Hankel determinant problem for certain subfamilies of univalent functions involving the exponential function
• Geometric properties of certain classes of analytic functions associated with a \(q\)-integral operator
• Upper bound of the third Hankel determinant for a class of analytic functions related with lemniscate of Bernoulli
• The Hankel Determinant of Exponential Polynomials
• A Note on q–Calculus
• The fekete-szegö-problem for a subclass of close-to-convex functions
• A generalization of starlike functions
• Early Coefficients of the Inverse of a Regular Convex Function
• Coefficient Bounds for the Inverse of a Function with Derivative in P
• On the Second Hankel Determinant of Areally Mean p-Valent Functions
• FEKETE-SZEGO PROBLEM FOR SOME SUBCLASSES OF ¨ ANALYTIC FUNCTIONS
• Hankel determinant for a subclass of bi-univalent functions defined by using a symmetric q-derivative operator
• A note on the Fekete-Szegö problem for close-to-convex functions with respect to convex functions
• Some properties of analytic functions associated with fractional q-calculus operators
• Some general families of q-starlike functions associated with the Janowski functions

This page was built for publication: Upper bound of the third Hankel determinant for a subclass of \(q\)-starlike functions associated with the \(q\)-exponential function