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2016 Second Hankel Determinants for the Class of Typically Real Functions
Paweł Zaprawa
Abstr. Appl. Anal. 2016: 1-7 (2016). DOI: 10.1155/2016/3792367


We discuss the Hankel determinants H2(n)=anan+2-an+12 for typically real functions, that is, analytic functions which satisfy the condition ImzImf(z)0 in the unit disk Δ. Main results are concerned with H2(2) and H2(3). The sharp upper and lower bounds are given. In general case, for n4, the results are not sharp. Moreover, we present some remarks connected with typically real odd functions.


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Paweł Zaprawa. "Second Hankel Determinants for the Class of Typically Real Functions." Abstr. Appl. Anal. 2016 1 - 7, 2016.


Received: 5 November 2015; Revised: 22 December 2015; Accepted: 3 January 2016; Published: 2016
First available in Project Euclid: 13 April 2016

zbMATH: 06929363
MathSciNet: MR3459636
Digital Object Identifier: 10.1155/2016/3792367

Rights: Copyright © 2016 Hindawi

Vol.2016 • 2016
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