Subclasses of bi-univalent functions defined by convolution

DOI10.1016/j.joems.2013.06.017zbMath1300.30022OpenAlexW2019639651MaRDI QIDQ467054

Rabha Md. El-Ashwah

Publication date: 3 November 2014

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2013.06.017

zbMATH Keywords

convex functionsstarlike functionsbi-univalent functionscoefficient bounds

Mathematics Subject Classification ID

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) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (13)

Comprehensive subclass of \(m\)-fold symmetric bi-univalent functions defined by subordination ⋮ Unnamed Item ⋮ On initial coefficient inequalities for certain new subclasses of bi-univalent functions ⋮ A subclass with bi-univalence involving \((\mathfrak{p},\mathfrak{q})\)-Lucas polynomials and its coefficient bounds ⋮ Coefficient bounds for bi-univalent classes defined by Bazilevič functions and convolution ⋮ Estimation of Upper Bounds for Initial Coefficients and Fekete-Szegö Inequality for a Subclass of Analytic Bi-univalent Functions ⋮ Coefficient estimates for certain subclasses of biunivalent functions defined by convolution ⋮ Coefficient estimates and Fekete-Szegö inequality for new subclass of bi-bazilevič functions by (s,t)-derivative operator and quasisubordination ⋮ Unnamed Item ⋮ Certain subclasses of bi-univalent functions defined by Chebyshev polynomials ⋮ Unnamed Item ⋮ Bi-univalent properties for certain class of bazilevič functions defined by convolution and with bounded boundary rotation ⋮ Coefficient estimates for a new subclass of analytic and bi-univalent functions defined by Hadamard product

Cites Work

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• New subclasses of bi-univalent functions
• Differential subordinations associated with multiplier transformations
• Certain subclasses of analytic and bi-univalent functions
• Classes of analytic functions associated with the generalized hypergeometric function,
• On normal and automorphic functions
• Some properties of a class of analytic functions
• Functions Whose Derivative has a Positive Real Part
• New Subclasses of the Class of Close-to-Convex Functions
• Coefficient Estimates for a Class of Star-Like Functions

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