B. Venkateswarlu, D. Vamshee Krishna, N. Rani, “Third Hankel determinant for the inverse of reciprocal of bounded turning functions”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2015, Number 3,Pages <nobr>50

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Research articles

Third Hankel determinant for the inverse of reciprocal of bounded turning functions

B. Venkateswarlu^a, D. Vamshee Krishna^a, N. Rani^b

^a Department of Mathematics, GIT, GITAM University, Visakhapatnam-530 045, A.P., India
^b Praveenya Institute of Marine Engineering & Maritime Studies, Modavalasa-534 002, Visakhapatnam, A.P., India

Abstract: In this paper we obtain the best possible upper bound to the third Hankel determinants for the functions belonging to the class of reciprocal of bounded turning functions using Toeplitz determinants.

Keywords and phrases: univalent function, function whose reciprocal derivative has a positive real part, third Hankel determinant, positive real function, Toeplitz determinants.

MSC: 30C45, 30C50

Received: 26.09.2015

Language: English