𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Chain sequences and compact perturbations of orthogonal polynomials

✍ Scribed by Ryszard Szwarc

Book ID
110559675
Publisher
Springer-Verlag
Year
1994
Tongue
French
Weight
563 KB
Volume
217
Category
Article
ISSN
0025-5874

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Chain Sequences, Orthogonal Polynomials,
Chain Sequences, Orthogonal Polynomials, and Jacobi Matrices
✍ Ryszard Szwarc πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 337 KB

Chain sequences are positive sequences [a n ] of the form a n = g n (1& g n&1 ) for a nonnegative sequence [g n ]. This concept was introduced by Wall in connection with continued fractions. In his monograph on orthogonal polynomials, Chihara conjectured that if a n 1 4 for each n then (a n & 1 4 )

The -permanent of a tridiagonal matrix,
The -permanent of a tridiagonal matrix, orthogonal polynomials, and chain sequences
✍ C.M. da Fonseca πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 159 KB

Let A = (a ij ) be an n Γ— n complex matrix. For any real ΞΌ, define the polynomial where (Οƒ ) is the number of inversions of the permutation Οƒ in the symmetric group S n . We analyze and establish a conjecture on the location of the zeros of P ΞΌ (A), when A is a non-diagonal positive definite matrix