[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5831/HMJ.2018.40.4.611

CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE CHEBYSHEV POLYNOMIALS

BULUT, Serap (Kocaeli University, Faculty of Aviation and Space Sciences, Arslanbey Campus)
MAGESH, Nanjundan (P.G. and Research Department of Mathematics, Govt Arts College for Men)
BALAJI, Vittalrao Kupparao (Department of Mathematics, L.N. Govt College)

Publication Information

Honam Mathematical Journal / v.40, no.4, 2018 , pp. 611-619 More about this Journal

Abstract

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.

Keywords

Analytic functions; starlike functions; convex functions; Chebyshev polynomial; Fekete- $Szeg{\ddot{o}}$ problem;

Citations & Related Records

Reference

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