A fourth order \(q\)-difference equation for associated discrete \(q\)-orthogonal polynomials.

DOI10.1216/rmjm/1030539692zbMath1083.33011OpenAlexW2040375439MaRDI QIDQ1415042

Mourad E. H. Ismail, Plamen C. Simeonov

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-2/CONT32-2/CONT32-2.html

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13)

Related Items (1)

Hypergeometric type \(q\)-difference equations: Rodrigues type representation for the second kind solution

Cites Work

• Unnamed Item
• Estimates of the Hermite and the Freud polynomials
• Estimates of asymmetric Freud polynomials on the real line
• On differential equations for orthogonal polynomials
• Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials
• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
• Ladder operators and differential equations for orthogonal polynomials
• The fourth order difference equation for the Laguerre-Hahn polynomials orthogonal on special non-uniform lattices

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