B. Venkateswarlu, D. Vamshee Krishna, N. Rani, T. RamReddy, “Third Hankel determinant for the reciprocals of bounded turning functions”, Eurasian Math. J., 2017, Volume 8, Number 4,Pages <nobr>92

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Third Hankel determinant for the reciprocals of bounded turning functions

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

^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.

MSC: 30C45, 30C50

Received: 11.04.2016

Language: English