A new class of multivalently analytic functions associated with fractional q-calculus operators

DOI10.7153/FDC-02-10zbMath1412.30071OpenAlexW2044132057MaRDI QIDQ4626329

Sunil Dutt Purohit

Publication date: 27 February 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-02-10

zbMATH Keywords

distortion theoremsanalytic functionscoefficient bounds\(p\)-valent functionsfractional \(q\)-calculus operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (11)

Subordination problems for a new class of Bazilevič functions associated with \(k\)-symmetric points and fractional \(q\)-calculus operators ⋮ Functional inequalities for several classes of \(q\)-starlike and \(q\)-convex type analytic and multivalent functions using a generalized bernardi integral operator ⋮ On Janowski analytic \((p,q)\)-starlike functions in symmetric circular domain ⋮ Majorization for a class of analytic functions defined by \(q\)-differentiation ⋮ Convexity of certain \(q\)-integral operators of \(p\)-valent functions ⋮ Some classes of analytic and multivalent functions associated with \(q\)-derivative operators ⋮ Certain classes of analytic functions bound with Kober operators in \(q\)-calculus ⋮ Unnamed Item ⋮ SUBORDINATION CONDITIONS FOR A CLASS OF NON-BAZILEVIČ TYPE DEFINED BY USING FRACTIONAL Q-CALCULUS OPERATORS ⋮ Positive solutions for a three-point boundary value problem of fractional \(q\)-difference equations ⋮ Geometric properties of certain classes of analytic functions associated with a \(q\)-integral operator

Cites Work

• A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Variational calculus on \(q\)-nonuniform lattices
• Linear \(q\)-difference equations
• Certain subclasses of analytic functions associated with fractional $q$-calculus operators
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