MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Coefficient inequality for certain subclass of $p$-valent analytic functions whose reciprocal derivative has a positive real part
D. Vamshee Krishna, B. Venkateswarlu and T. RamReddy

Abstract

The objective of this paper is to introduce certain new subclass of $p$-valent analytic functions in the open unit disc $E=\{z:|z|<1\}$ and obtain sharp upper bound for the second Hankel determinant of functions belonging to this class, using Toeplitz determinants.

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Keywords: $p$-valent analytic function; function whose derivative has a positive real part; second Hankel determinant; positive real function; Toeplitz determinants

MSC: 30C45, 30C50

Pages:  87--92     

Volume  68 ,  Issue  2 ,  2016