## Rocky Mountain Journal of Mathematics

### Coefficient inequality for certain $p$-valent analytic functions

D. Vamshee Krishna

#### Abstract

The objective of this paper is to obtain an upper bound to the second Hankel determinant $|a_{p+1}a_{p+3}-a_{p+2}^{2}|$ for certain $p$-valent analytic functions, using Toeplitz determinants.

#### Article information

Source
Rocky Mountain J. Math., Volume 44, Number 6 (2014), 1941-1959.

Dates
First available in Project Euclid: 2 February 2015

https://projecteuclid.org/euclid.rmjm/1422885102

Digital Object Identifier
doi:10.1216/RMJ-2014-44-6-1941

Mathematical Reviews number (MathSciNet)
MR3310956

Zentralblatt MATH identifier
1309.30013

#### Citation

Krishna, D. Vamshee. Coefficient inequality for certain $p$-valent analytic functions. Rocky Mountain J. Math. 44 (2014), no. 6, 1941--1959. doi:10.1216/RMJ-2014-44-6-1941. https://projecteuclid.org/euclid.rmjm/1422885102

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