Open Access
2014 Coefficient inequality for certain $p$-valent analytic functions
D. Vamshee Krishna
Rocky Mountain J. Math. 44(6): 1941-1959 (2014). DOI: 10.1216/RMJ-2014-44-6-1941


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.


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D. Vamshee Krishna. "Coefficient inequality for certain $p$-valent analytic functions." Rocky Mountain J. Math. 44 (6) 1941 - 1959, 2014.


Published: 2014
First available in Project Euclid: 2 February 2015

zbMATH: 1309.30013
MathSciNet: MR3310956
Digital Object Identifier: 10.1216/RMJ-2014-44-6-1941

Primary: 30C45 , 30C50

Keywords: $p$-valent function , Analytic function , positive real function , second Hankel determinant , starlike and convex functions , Toeplitz determinants , upper bound

Rights: Copyright © 2014 Rocky Mountain Mathematics Consortium

Vol.44 • No. 6 • 2014
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