Majorization for a class of analytic functions defined by \(q\)-differentiation

DOI10.1155/2014/653917zbMath1407.30004OpenAlexW2034130919WikidataQ57663800 ScholiaQ57663800MaRDI QIDQ1718881

Aydin Secer, K. A. Selvakumaran, Sunil Dutt Purohit

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/653917

Mathematics Subject Classification ID

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 (8)

Subordination problems for a new class of Bazilevič functions associated with \(k\)-symmetric points and fractional \(q\)-calculus operators ⋮ Applications of fractional \(q\)-calculus to certain subclass of analytic \(p\)-valent functions with negative coefficients ⋮ Certain properties of some families of generalized starlike functions with respect to \(q\)-calculus ⋮ Unnamed Item ⋮ 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 ⋮ A certain class of q-close-to-convex functions of order α

Cites Work

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• Subclasses of starlike functions associated with fractional \(q\)-calculus operators
• Some classes of analytic and multivalent functions associated with \(q\)-derivative operators
• Convexity of certain \(q\)-integral operators of \(p\)-valent functions
• Some subordination results on \(q\)-analogue of Ruscheweyh differential operator
• A subclass of harmonic univalent functions associated with \(q\)-analogue of Dziok-Srivastava operator
• Meromorphic parabolic starlike functions associated with \(q\)-hypergeometric series
• Majorization by univalent functions
• Certain subclasses of analytic functions associated with fractional $q$-calculus operators
• Majorization by starlike functions of complex order
• A new class of multivalently analytic functions associated with fractional q-calculus operators
• Univalent α-Spiral Functions

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