Kravchuk polynomials and group representations

DOI10.1007/BF01056133zbMath0832.33010MaRDI QIDQ1206301

A. U. Klimyk

Publication date: 1 April 1993

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Krawtchouk polynomialsKrawtchouk \(q\)-polynomialsKrawtchouk-Meixner functions

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Cites Work

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• Properties and Applications of the Recurrence $F( {i + 1,k + 1,n + 1} ) = q^{k + 1} F( {i,k + 1,n} ) - q^k F( {i,k,n} )$
• Krawtchouk Polynomials, a Unification of Two Different Group Theoretic Interpretations
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• Lower Limit for the Energy Derivative of the Scattering Phase Shift