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On a conjectured inequality of Gautschi and Leopardi for Jacobi polynomials

✍ Scribed by Stamatis Koumandos

Publisher
Springer US
Year
2007
Tongue
English
Weight
208 KB
Volume
44
Category
Article
ISSN
1017-1398

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πŸ“œ SIMILAR VOLUMES

Conjectured inequalities for Jacobi poly
Conjectured inequalities for Jacobi polynomials and their largest zeros
✍ Walter Gautschi; Paul Leopardi πŸ“‚ Article πŸ“… 2007 πŸ› Springer US 🌐 English βš– 339 KB

P. Leopardi and the author recently investigated, among other things, the validity of the inequality n\theta_n^{(\alpha,\beta)}\!<\! (n\!+\!1)\theta_{n+1}^{(\alpha,\beta)} between the largest zero x_n\!=\!\cos\theta_n^{(\alpha,\beta)} and x_{n+1}= \cos\theta_{n+1}^{(\alpha,\beta)} of the Jacobi poly