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COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF BI-PRESTARLIKE FUNCTIONS ASSOCIATED WITH THE GEGENBAUER POLYNOMIAL

G. MURUGUSUNDARAMOORTHY|H. Ö. guney|K. Vijaya
장전수학회 (Jangjeon Mathematical Society)|2022.01|Advanced Studies in Contemporary Mathematics|제32권 제1호|pp. 5-16

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참고문헌

키워드

Chebyshev polynomialsAnalytic functionsbi-univalent functionsprestarlike functionsGegenbauer polynomialscoeffcient estimatesFekete-Szego inequalities
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초록

In this paper, we familiarize and explore a new subclass of bi-prestarlike functions defined in the open unit disk, related with Gegenbauer polynomials. Furthermore, we find estimates of first two coeffcients of functions in these classes, making use of the Gegenbauer polynomials. Also, we obtain the Fekete-Szego inequalities for function in these classes. Several consequences of the results are also pointed out as corollaries.

Abstract

In this paper, we familiarize and explore a new subclass of bi-prestarlike functions defined in the open unit disk, related with Gegenbauer polynomials. Furthermore, we find estimates of first two coeffcients of functions in these classes, making use of the Gegenbauer polynomials. Also, we obtain the Fekete-Szego inequalities for function in these classes. Several consequences of the results are also pointed out as corollaries.

참고문헌 (24)

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