Lie theory and difference equations. I

DOI10.1016/0022-247X(69)90037-7zbMath0193.06404MaRDI QIDQ2538421

Willard jun. Miller

Publication date: 1969

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

ordinary differential equations

Related Items (13)

Symmetries of the heat equation on the lattice ⋮ Clebsch-Gordan Coefficients and Special Function Identities. I. The Harmonic Oscillator Group ⋮ Clebsch-Gordan Coefficients and Special Function Identities. II. The Rotation and Lorentz Groups in 3-Space ⋮ Properties of shape-invariant tridiagonal Hamiltonians ⋮ Krawtchouk polynomials, the Lie algebra \(\mathfrak{sl}_2\), and Leonard pairs ⋮ Lie symmetries of finite-difference equations ⋮ A factorization method forq-Racah polynomials ⋮ New classes of second order difference equations solvable by factorization method ⋮ Lie theory and difference equations. II ⋮ Lie theory and difference equations. II ⋮ The factorization method for the Askey-Wilson polynomials ⋮ Difference Schrödinger operators with linear and exponential discrete spectra ⋮ Nonlinear differential-difference and difference equations: integrability and exact solvability

Cites Work

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• Lie theory and special functions
• On Lie algebras and some special functions of mathematical physics
• The Factorization Method
• On the Finite Difference Analogue of Rodrigues' Formula
• Notes on Legendre polynomials

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