Some basic Lommel polynomials

zbMath0926.33003MaRDI QIDQ1283908

H. T. Koelink

Publication date: 30 March 1999

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

orthogonalitybasic Bessel functionsbasic Lommel polynomials

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

On the zeros of basic finite Hankel transforms, The Nevanlinna parametrization for \(q\)-Lommel polynomials in the indeterminate case, Bilateral birth and death process in q-calculus, A basic analog of a theorem of Pólya, Orthogonal polynomials associated with Coulomb wave functions, The Hahn-Exton \(q\)-Bessel function as the characteristic function of a Jacobi matrix, Asymptotic formulae for eigenvalues and eigenfunctions of q -Sturm-Liouville problems

Cites Work

• The ratio of q-like orthogonal polynomials
• The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
• On the zeros of the Hahn-Exton \(q\)-Bessel function and associated \(q\)- Lommel polynomials
• The quantum group of plane motions and the Hahn-Exton \(q\)-Bessel function
• The quantum group of plane motions and basic Bessel functions
• Orthogonal polynomials and Laurent polynomials related to the Hahn-Exton \(q\)-Bessel function
• Lie algebras and recurrence relations IV: Representations of the Euclidean group and Bessel functions
• On indeterminate Hamburger moment problems
• Some Orthogonal q‐Polynomials
• Chain Sequences and Orthogonal Polynomials
• On Constructing Distribution Functions; with Applications to Lommel Polynomials and Bessel Functions
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