✦ LIBER ✦

A property of the zeros of the Legendre polynomials

✍ Scribed by Carl C Grosjean

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 201 KB
Volume: 50
Category: Article
ISSN: 0021-9045
DOI: 10.1016/0021-9045(87)90068-2

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Zeros of polynomials

✍ A. Kharadze 📂 Article 📅 1964 🏛 Elsevier Science ⚖ 231 KB

Monotonicity Properties of the Zeros of

Monotonicity Properties of the Zeros of Ultraspherical Polynomials

✍ Árpád Elbert; Panayiotis D. Siafarikas 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 111 KB

## 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

On the zeros of Bessel polynomials

✍ Shafique Ahmed 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 347 KB

On the zeros of exponential polynomials

✍ Cerino E Avellar; Jack K Hale 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 774 KB

Computing the zeros of quaternion polyno

Computing the zeros of quaternion polynomials

✍ R. Serôdio; E. Pereira; J. Vitória 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 560 KB

On the zeros of a class of polynomials i

On the zeros of a class of polynomials including the generalized Bessel polynomials

✍ E.K. Ifantis; P.D. Siafarikas 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 363 KB