On Coefficient problem for bi-univalent analytic functions
, 2017 Estimates for initial coefficients of Taylor-Maclaurin series of bi-univalent functions belonging to certain classes defined by subordination are obtained. Our estimates improve upon the earlier known estimates for second and third coefficient. The bound for the fourth coefficient is new.
Bohra, Nisha, Ravichandran, V.
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Gegenbauer Polynomials for a Subfamily of Bi-univalent Functions
Earthline Journal of Mathematical SciencesWe study a subfamily of bi-univalent and regular functions in the open unit disk subordinate to Gegenbauer polynomials. For functions in the defined subfamily, we derive initial coefficients bounds. Additionally, the Fekete-Szegö problem is handled for the elements of the defined subfamily.
Sondekola Rudra Swamy +3 more
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Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function. [PDF]
Sci Rep, 2023 Priya H, Sruthakeerthi B.
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OEFFICIENT ESTIMATES OF NEW SPECIAL SUBCATEGORY OF BI-UNIVALENT FUNCTIONS
Science Journal of University of ZakhoIn the present paper, we introduce and investigate a new subcategory H_Σ (q,β;ς) of analytic and bi-univalent functions in the open unit disk D based on the ideas of q-derivative operator and subordination.
Kosrat O. Mohammed +4 more
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On Third Hankel Determinant for Certain Subclass of Bi-Univalent Functions [PDF]
This study presents a subclass S(β) of bi-univalent functions within the open unit disk region D. The objective of this class is to determine the bounds of the Hankel determinant of order 3, (Ⱨ3(1)).
Qasim Ali Shakir, Waggas Galib Atshan
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Coefficient Estimates for Bi-Univalent Bazilevic Functions
Analysis in Theory and Applications, 2014 In this paper we consider the class of Bazilevic functions for bi-univalent functions. For this we will estimate the coefficients $a_2$ and $a_3$ using Caratheodory functions and the method of differential subordination.
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Estimates for the Initial Coefficients of Bi-univalent Functions
, 2012 A bi-univalent function is a univalent function defined on the unit disk with its inverse also univalent on the unit disk. Estimates for the initial coefficients are obtained for bi-univalent functions belonging to certain classes defined by subordination and relevant connections with earlier results are pointed out.
Kumar, S. Sivaprasad +2 more
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Geometric properties of new subclass of univalent and bi-univalent functions associated with subordination and generalised differential operator [PDF]
Hence, motivated by the generalised differential operator in the second objective, this study proposed a new generalised differential operator by utilising the binomial series.
Rossdy, Munirah
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Second Hankel determinant for a Bi-univalent function subclass based Gegenbauer (ultraspherical) polynomials [PDF]
This is an open access article under the CC BY license.In this paper, we aim to establish a new upper bound approximation for the second Hankel determinant utilizing a certain subclass of the class of normalized analytic and bi-univalent functions in the
Hussen, Abdulmtalb, Zeyani, Abdelbaset
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Caenorhabditis elegans spermatocytes can segregate achiasmate homologous chromosomes apart at higher than random frequency during meiosis I. [PDF]
Genetics, 2023 Gong T, McNally FJ.
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