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Some Properties of a Class of Analytic Functions

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TLDR
In this article, the authors extend the results of MacGregor, Chen, and Chichra to the class of functions ǫ(z) which are analytic in the unit disc U = {z: |z| A and study some properties of Qα(β).
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1995-10-01 and is currently open access. It has received 33 citations till now. The article focuses on the topics: Analytic function & Hadamard transform.

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Journal ArticleDOI

New subclasses of bi-univalent functions

TL;DR: Two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc are introduced and estimates on the coefficients of functions in these new sub classes are found.
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Coefficient Estimates for Certain Classes of Bi-Univalent Functions

TL;DR: Faber polynomial expansions of bi-univalent functions are used to obtain estimates for their general coefficients subject to certain gap series as well as providing bounds for early coefficients of such functions.
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On a new subclass of bi-univalent functions

TL;DR: In this paper, the authors introduced a new subclass of the function class ∑ of bi-univalent functions defined in the open unit disc and obtained estimates on the coefficients ∣a2∣ and ∣α3∣ for functions of this class.
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On certain subclasses of multivalent functions associated with an extended fractional differintegral operator

TL;DR: In this paper, an extended fractional differintegral operator Ω z ( λ, p ) ( − ∞ λ p + 1 ; p ∈ N ) is introduced.
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Chebyshev polynomial coefficient estimates for a class of analytic bi-univalent functions related to pseudo-starlike functions

TL;DR: In this paper, the initial coefficient bounds for functions belong to a subclass of analytic bi-univalent functions related to pseudo-starlike functions by using the Chebyshev polynomials and also they find Fekete-Szego inequalities for this class.