Coefficient inequalities for \(q\)-starlike functions associated with the Janowski functions

DOI10.14492/hokmj/1562810517zbMath1418.30012OpenAlexW2960854251MaRDI QIDQ2002619

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

Publication date: 12 July 2019

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.hokmj/1562810517

zbMATH Keywords

basic hypergeometric functionsconvex functionsanalytic functions\(q\)-hypergeometric functionsunivalent functionsstarlike functions\(q\)-derivative operator\(q\)-convex functions\(q\)-starlike 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 (41)

Convolution conditions for two subclasses of analytic functions defined by Jackson \(q\)-difference operator ⋮ Faber polynomial coefficient bounds for \(m\)-fold symmetric analytic and bi-univalent functions involving \(q\)-calculus ⋮ Applications of \(q\)-difference symmetric operator in harmonic univalent functions ⋮ On second-order differential subordination for certain meromorphically multivalent functions ⋮ Some inequalities on Bazilevič class of functions involving quasi-subordination ⋮ Certain properties of multivalent analytic functions defined by \(q\)-difference operator involving the janowski function ⋮ Geometric properties of a certain class of multivalent analytic functions associated with the second-order differential 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 ⋮ Functional inequalities for several classes of \(q\)-starlike and \(q\)-convex type analytic and multivalent functions using a generalized bernardi integral operator ⋮ The Faber polynomial expansion method and the Taylor-Maclaurin coefficient estimates of bi-close-to-convex functions connected with the \(q\)-convolution ⋮ 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 ⋮ Unified solution of initial coefficients and Fekete-Szegö problem for subclasses of analytic functions related to a conic region ⋮ Certain subclasses of meromorphically \(q\)-starlike functions associated with the \(q\)-derivative operators ⋮ Certain subclass of analytic functions with respect to symmetric points associated with conic region ⋮ Some results for the family of univalent functions related with Limaçon domain ⋮ Inclusion relations of \(q\)-Bessel functions associated with generalized conic domain ⋮ Some geometric properties of certain meromorphically multivalent functions associated with the first-order differential subordination ⋮ Certain new class of harmonic functions involving quantum calculus ⋮ 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 ⋮ Properties of meromorphic spiral-like functions associated with symmetric functions ⋮ Certain class of analytic functions with respect to symmetric points defined by \(Q\)-calculus ⋮ Starlikeness associated with tangent hyperbolic function ⋮ Coefficient bounds in the class of functions associated with Sakaguchi's functions ⋮ A linear operator associated with a certain variation of the Bessel function \(J_\nu (z)\) and related conformal mappings ⋮ Upper bound of the third Hankel determinant for a subclass of q-Starlike functions associated with the lemniscate of Bernoulli ⋮ Sufficiency for nephroid starlikeness using hypergeometric functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On quantum differential subordination related with certain family of analytic functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Upper bound of the third Hankel determinant for a subclass of \(q\)-starlike functions associated with the \(q\)-exponential function ⋮ A generalized conic domain and its applications to certain subclasses of analytic functions ⋮ Coefficient inequalities for certain subclasses of multivalent functions associated with conic domain ⋮ Some general families of q-starlike functions associated with the Janowski functions ⋮ Some subordinating results for classes of functions defined by Sǎlǎgean type q derivative operator ⋮ Some geometric properties of a subclass of multivalent analytic functions defined by the first-order differential subordination

This page was built for publication: Coefficient inequalities for \(q\)-starlike functions associated with the Janowski functions