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| Titel: |
Weinstein's functions and the askey-gasper identity |
| Auteur: |
Koepf, Wolfram Schmersau, Dieter |
| Verschenen in: |
Integral transforms and special functions |
| Paginering: | Jaargang 5 (1997) nr. 3-4 pagina's 227-246 |
| Jaar: |
1997-11 |
| Inhoud: |
In his 1984 proof of the Bieberbach and Milin conjectures de Branges used a positivity result of spacial functions which follows from an identity about Jacobi polynomial sums that was found by Askey and Gasper in 1973, published in 1976. In 1991 Weinstein presented another proof of the Bieberbach and Milin conjectures, also using a special function system which (by Todorov and Wilf) was realized to be the same as de Branges'. In this article, we show how a variant of the Askey-Gasper identity can be deduced by a straight-forward examination of Weinstein's functions which are intimately related with a Lowner chain of the Koebe fucntion, and therefore with univalent functions. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 49 van 49 gevonden artikelen
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