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CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE CHEBYSHEV POLYNOMIALS
Serap Bulut,Nanjundan Magesh,Vittalrao Kupparao Balaji 호남수학회 2018 호남수학학술지 Vol.40 No.4
In this paper, we obtain initial coe cient bounds for an uni ed subclass of analytic functions by using the Chebyshev polynomials. Furthermore, we nd the Fekete-Szego result for this class. All results are sharp. Consequences of the results are also discussed.
Certain Subclasses of Bi-Starlike and Bi-Convex Functions of Complex Order
MAGESH, NANJUNDAN,BALAJI, VITTALRAO KUPPARAOo Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.3
In this paper, we introduce and investigate an interesting subclass $M_{\Sigma}({\gamma},{\lambda},{\delta},{\varphi})$ of analytic and bi-univalent functions of complex order in the open unit disk ${\mathbb{U}}$. For functions belonging to the class $M_{\Sigma}({\gamma},{\lambda},{\delta},{\varphi})$ we investigate the coefficient estimates on the first two Taylor-Maclaurin coefficients ${\mid}{\alpha}_2{\mid}$ and ${\mid}{\alpha}_3{\mid}$. The results presented in this paper would generalize and improve some recent works of [1],[5],[9].
CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE CHEBYSHEV POLYNOMIALS
BULUT, Serap,MAGESH, Nanjundan,BALAJI, Vittalrao Kupparao The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.4
In this paper, we obtain initial coefficient bounds for an unified subclass of analytic functions by using the Chebyshev polynomials. Furthermore, we find the Fekete-$Szeg{\ddot{o}}$ result for this class. All results are sharp. Consequences of the results are also discussed.