Results 111 to 120 of about 613 (189)

On Coefficient problem for bi-univalent analytic functions

open access: yes, 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.
openaire   +2 more sources

Gegenbauer Polynomials for a Subfamily of Bi-univalent Functions

open access: yesEarthline Journal of Mathematical Sciences
We 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
openaire   +1 more source

Coefficient Estimates for Bi-Univalent Bazilevic Functions

open access: yesAnalysis 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.
openaire   +1 more source

Coefficient estimate of bi-Bazilevic function defined by Srivastava-Attiya operator

open access: yesLe Matematiche, 2014
In this paper, we introduce and investigate two new subclasses of the functionclass\sigma of bi-univalent functions dened in the open unit disk, which are associated with thegeneralized Srivastava-Attiya operator, satisfying subordinate conditions ...
Gangaharan Murugu Sundaramoorthy
doaj  

Estimates for the Initial Coefficients of Bi-univalent Functions

open access: yes, 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
openaire   +2 more sources

Subclasses of bi-univalent functions defined by convolution

open access: yesJournal of the Egyptian Mathematical Society, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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