## Let x (*) n, k , k=1, 2, ..., [nÂ2], denote the k th positive zero in increasing order of the ultraspherical polynomial P (\*) n (x). We prove that the function [\*+(2n 2 +1)Â (4n+2)] 1Â2 x (\*) n, k increases as \* increases for \*> &1Â2. The proof is based on two integrals involved with the s
Upper bounds for the zeros of ultraspherical polynomials
✍ Scribed by Árpád Elbert; Andrea Laforgia
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 360 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0021-9045
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