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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, Number 3, Pages 50–59
(Mi basm395)
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This article is cited in 1 scientific paper (total in 1 paper)
Research articles
Third Hankel determinant for the inverse of reciprocal of bounded turning functions
B. Venkateswarlua, D. Vamshee Krishnaa, N. Ranib 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.
Received: 26.09.2015
Citation:
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, no. 3, 50–59
Linking options:
https://www.mathnet.ru/eng/basm395 https://www.mathnet.ru/eng/basm/y2015/i3/p50
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