Title
Some Results Of New Subclasses For Bi-Univalent Functions Using Quasi-Subordination
Abstract
In this paper, we introduce new subclasses R-Sigma,b,c(mu,alpha) (lambda, delta, tau, Phi) and K-Sigma,b,c(mu,alpha) (lambda, delta, eta, Phi) of biunivalent functions in the open unit disk U by using quasi-subordination conditions and determine estimates of the coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions of these subclasses. We discuss the improved results for the associated classes involving many of the new and well-known consequences. We notice that there is symmetry in the results obtained for the new subclasses R-Sigma,b,c(mu,alpha) (lambda, delta, tau, Phi) and K-Sigma,b,c(mu,alpha) (lambda, delta, tau, Phi), as there is a symmetry for the estimations of the coefficients a(2) and a(3) for all the subclasses defind in our this paper.
Year
DOI
Venue
2021
10.3390/sym13091653
SYMMETRY-BASEL
Keywords
DocType
Volume
subordination, bi-univalent function, analytic function, quasi-subordination, hurwitz-lerch zeta function
Journal
13
Issue
Citations 
PageRank 
9
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Waggas Galib Atshan100.34
Ibtihal Abdul Ridha Rahman200.34
Alina Alb Lupas305.75