A certain \(q\)-Ruscheweyh type derivative operator and its applications involving multivalent functions

DOI10.1186/s13662-021-03441-6zbMath1494.30032OpenAlexW3169111210MaRDI QIDQ2167019

Shahid Khan, Nazar Khan, Bilal Khan, Qazi Zahoor Ahmad, Sama Arjika, Hari M. Srivastava

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03441-6

zbMATH Keywords

Hadamard productanalytic functionsdifferential subordinationmultivalent functions\(q\)-derivative (or \(q\)-difference) operatorRuscheweyh's derivative operator

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) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Linear operators on function spaces (general) (47B38) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (5)

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 ⋮ A study of spiral-like harmonic functions associated with quantum calculus ⋮ A new q-fractional integral operator and its applications to the coefficient problem involving the second Hankel determinant for q-starlike and q-convex functions ⋮ Unnamed Item

Cites Work

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