Convexity of certain \(q\)-integral operators of \(p\)-valent functions

DOI10.1155/2014/925902zbMath1474.30116OpenAlexW2034267042WikidataQ57663799 ScholiaQ57663799MaRDI QIDQ1725286

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

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/925902

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (10)

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 ⋮ On Fekete-Szegö problems for certain subclasses defined by \(q\)-derivative ⋮ \(q\)-differ-integral operator on \(p\)-valent functions associated with operator on Hilbert space ⋮ Unnamed Item ⋮ Majorization for a class of analytic functions defined by \(q\)-differentiation ⋮ Unnamed Item ⋮ SUBORDINATION CONDITIONS FOR A CLASS OF NON-BAZILEVIČ TYPE DEFINED BY USING FRACTIONAL Q-CALCULUS OPERATORS ⋮ Hankel determinant for a subclass of bi-univalent functions defined by using a symmetric q-derivative operator

Cites Work

• \(q\)-fractional calculus and equations
• On uniformly starlike functions
• Convexity of integral operators of \(p\)-valent functions
• On univalent functions defined by a generalized Sălăgean operator
• A Comprehensive Treatment of q-Calculus
• Certain subclasses of analytic functions associated with fractional $q$-calculus operators
• Uniformly convex functions
• Univalence of the Integral of f ′(z)^λ
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• A new class of multivalently analytic functions associated with fractional q-calculus operators
• INCLUSION RELATIONS FOR k-UNIFORMLY STARLIKE AND RELATED FUNCTIONS UNDER CERTAIN INTEGRAL OPERATORS
• Quantum calculus
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