QA480 : On coefficient estimates for subclasses of analytic and meromorphic bi-univalent functions by using positive functions and faber polynomial
Thesis > Central Library of Shahrood University > Mathematical Sciences > PhD > 2018
Authors:
Abstarct: In this thesis, we introduce the subclasses of bi-univalent functions by using the real positive
part functions and obtain the estimates for the initial coefficients |a_2 | and |a_3 | for functions
of mentioned subclasses. The coefficient estimates would generalize and improve some recent works. Morever, we define the subclass of the bi-univalent functions by subordination and
Chebyshev polynomials of second kind .
In the following, we introduce and consider the subclasses of the moromorphic bi-univalent
functions. Then, we obtain the estimates of the general coefficient |b_n | for functions in these subclasses by using Faber polynomials. Also, we find the estimates of the initial coefficients |b_0 | , |b_1 | and |b_2 | by using real positive part functions. The coefficient estimates
would generalize and improve some recent works.
Keywords:
#Coefficient estimates #Bi-univalent functions #Meromorphic bi-univalent functions #Real positive part functions #Subordinations #Faber polynomials #Chebyshev polynomials of second kind. Link
Keeping place: Central Library of Shahrood University
Visitor:
Keeping place: Central Library of Shahrood University
Visitor:
