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- Title
Certain Subclasses of Bi-univalent Functions Associated with the Chebyshev Polynomials Based on Hohlov Operator.
- Authors
Murugusundaramoorthy, G.; Vijaya, K.; Güney, H. Ö.
- Abstract
In this paper we introduce and investigate two new subclasses of the function class Σ of biunivalent functions in the open unit disk, which are associated with the Hohlov operator, and satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-MacLaurin coefficients a2 and a3 for functions in these new subclasses by using Chebyshev polynomials. Several new consequences of these results are also pointed out.
- Subjects
UNIVALENT functions; CHEBYSHEV polynomials; ANALYTIC functions; COEFFICIENTS (Statistics); COMPLEX variables
- Publication
Tbilisi Mathematical Journal, 2018, Vol 11, Issue 2, p153
- ISSN
1875-158X
- Publication type
Article
- DOI
10.32513/tbilisi/1530842677