B. Venkateswarlu, D. Vamshee Krishna, N. Rani, T. RamReddy, “Third Hankel determinant for the reciprocals of bounded turning functions”, Eurasian Math. J., 2017, том 8, номер 4,страницы 92

Эта публикация цитируется в 1 статье

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

Аннотация: 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.

Ключевые слова и фразы: univalent function, function whose reciprocal derivative has a positive real part, third Hankel determinant, positive real function, Toeplitz determinants.

MSC: 30C45, 30C50

Поступила в редакцию: 11.04.2016

Язык публикации: английский