Concepedia

Krall-type polynomials via the Heine formula

Yang Chen, James Griffin

Journal of Physics A Mathematical and General · 2002 · 16 citations · 7 references

DOI

Concepts

Abstract

With the Heine multiple integral formula we study the effect of a special class of perturbations, adding δ and δ' to the weights, on the Laguerre and Jacobi polynomials.

References

7

Fredholm determinants, differential equations and matrix models

Craig A. Tracy, Harold Widom · Communications in Mathematical Physics · 1994 · 351 citations · Full text

, , +11

Level spacing distributions and the Bessel kernel

Communications in Mathematical Physics · 1994 · 315 citations · Full text

, , +5

Level Spacing Distributions and the Bessel Kernel

Project Euclid (Cornell University) · 1993 · 274 citations

, , +5

Orthogonal Polynomials With Weight Function (1 - <i>x</i>)<sup><i>α</i></sup>( l + <i>x</i>)<sup><i>β</i></sup> + <i>M</i><i>δ</i>(<i>x</i> + 1) + <i>N</i>δ(<i>x</i> - 1)

Tom H. Koornwinder · Canadian Mathematical Bulletin · 1984 · 181 citations

, , +7

Variations around classical orthogonal polynomials. Connected problems

P. Maroni · Journal of Computational and Applied Mathematics · 1993 · 143 citations

, , +4