second hankel determinants for the class of typically real functions
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ID: 244695
2016
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Abstract
We discuss the Hankel determinants H2(n)=anan+2-an+12 for typically real functions, that is, analytic functions which satisfy the condition Im z Imf(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 n≥4, the results are not sharp. Moreover, we present some remarks connected with typically real odd functions.
| Reference Key |
zaprawa2016abstractsecond
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|---|---|
| Authors | ;Paweł Zaprawa |
| Journal | science and technology of advanced materials |
| Year | 2016 |
| DOI |
10.1155/2016/3792367
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| URL | |
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