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This article is cited in 3 scientific papers (total in 3 papers)
Coefficient inequality for multivalent bounded turning functions of order $\alpha$
D. Vamshee Krishnaa, T. RamReddyb a GIT, GITAM University, Visakhapatnam 530 045, A. P., India
b Kakatiya University, Warangal 506 009, T. S., India
Abstract:
The objective of this paper is to obtain the sharp upper bound to the $H_{2}(p+1)$, second Hankel determinant
for $p$-valent (multivalent) analytic bounded turning functions (also called functions whose derivatives have positive real parts)
of order $\alpha~ (0\leq\alpha<1)$, using Toeplitz determinants. The result presented here includes
three known results as their special cases.
Keywords:
$p$-valent analytic function; bounded turning function; upper bound; Hankel determinant; positive real function; Toeplitz determinants.
Received: 10.01.2016 Revised: 03.07.2016 Accepted: 03.07.2016
Citation:
D. Vamshee Krishna, T. RamReddy, “Coefficient inequality for multivalent bounded turning functions of order $\alpha$”, Probl. Anal. Issues Anal., 5(23):1 (2016), 45–54
Linking options:
https://www.mathnet.ru/eng/pa207 https://www.mathnet.ru/eng/pa/v23/i1/p45
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Abstract page: | 119 | Full-text PDF : | 46 | References: | 25 |
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