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Eurasian Mathematical Journal, 2017, Volume 8, Number 4, Pages 92–101
(Mi emj281)
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This article is cited in 1 scientific paper (total in 1 paper)
Third Hankel determinant for the reciprocals of bounded turning functions
B. Venkateswarlua, D. Vamshee Krishnaa, N. Ranib, T. RamReddyc a Department of Mathematics, GST, GITAM University, Nagadenahalli-562 163, Bengaluru North, Karnataka, India
b Department of Sciences and Humanities,
Praveenya Institute of Marine Engineering and Maritime studies,
Modavalasa-534 002, Visakhapatnam, A.P., India
c Department of Mathematics,
Kakatiya Univeristy,
Warangal-506 009,
T.S., India
Abstract:
The objective of this paper is to introduce a certain new subclass of analytic functions and obtain an upper bound for the third Hankel determinant for the functions belonging to this class, 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: 11.04.2016
Citation:
B. Venkateswarlu, D. Vamshee Krishna, N. Rani, T. RamReddy, “Third Hankel determinant for the reciprocals of bounded turning functions”, Eurasian Math. J., 8:4 (2017), 92–101
Linking options:
https://www.mathnet.ru/eng/emj281 https://www.mathnet.ru/eng/emj/v8/i4/p92
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Abstract page: | 166 | Full-text PDF : | 79 | References: | 36 |
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