๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the Behaviour of Zeros of Jacobi Polynomials

โœ Scribed by Dimitar K. Dimitrov; Romildo O. Rodrigues


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
141 KB
Volume
116
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Regularity and Explicit Representation o
โœ Y.G. Shi ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 272 KB

A necessary and sufficient condition of regularity of \((0,1, \ldots, m-2, m)\)-interpolation on the zeros of the Jacobi polynomials \(P_{n}^{(x, \beta)}(x)(\alpha, \beta \geqslant-1)\) in a manageable form is established. Meanwhile, the explicit representation of the fundamental polynomials, when t

Limits of zeros of orthogonal polynomial
โœ Barry Simon; Vilmos Totik ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 127 KB

## Abstract We prove that there is a universal measure on the unit circle such that any probability measure on the unit disk is the limit distribution of some subsequence of the corresponding orthogonal polynomials. This follows from an extension of a result of Alfaro and Vigil (which answered a qu

On the Zeroes of a Polynomial
โœ H. Alzer ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 70 KB
Monotonicity Properties of the Zeros of
โœ รrpรกd Elbert; Panayiotis D. Siafarikas ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 111 KB

## Let x (*) n, k , k=1, 2, ..., [nร‚2], denote the k th positive zero in increasing order of the ultraspherical polynomial P (\*) n (x). We prove that the function [\*+(2n 2 +1)ร‚ (4n+2)] 1ร‚2 x (\*) n, k increases as \* increases for \*> &1ร‚2. The proof is based on two integrals involved with the s