A combinatorial formula for the associated Legendre functions of integer degree

DOI10.1006/aima.1999.1857zbMath0941.33007OpenAlexW2062549824MaRDI QIDQ1971623

Anatol N. Kirillov, Jan Felipe van Diejen

Publication date: 1 August 2000

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c125ed3d05f1b8878c82158670f7777ff6e628f9

zbMATH Keywords

Schrödinger operatorassociated Legendre functions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Explicit Expressions of the Hua--Pickrell Semigroup, Remarks on the zeros of the associated Legendre functions with integral degree, Reflectionless Schrödinger operators, the dynamics of zeros, and the solitonic Sato formula

Cites Work

• Group theory approach to scattering
• Loop groups and equations of KdV type
• KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
• The inverse scattering transform: Semi-infinite interval
• Inverse scattering on the line
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