Coefficient inequality for a function whose derivative has a positive real part of order alpha.

Autor: Krishna, Deekonda Vamshee
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Jazyk: angličtina
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Druh dokumentu: Non-fiction
ISSN: 0862-7959
Abstrakt: Abstract: The objective of this paper is to obtain sharp upper bound for the function f for the second Hankel determinant |a_2a_4-a_3^2|, when it belongs to the class of functions whose derivative has a positive real part of order alpha (0\leq\alpha<1), denoted by RT(\alpha). Further, an upper bound for the inverse function of f for the nonlinear functional (also called the second Hankel functional), denoted by |t_2t_4-t_3^2|, was determined when it belongs to the same class of functions, using Toeplitz determinants.
Databáze: Katalog Knihovny AV ČR