On Constructing Distribution Functions; with Applications to Lommel Polynomials and Bessel Functions
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Publication:5567347
DOI10.2307/1994972zbMath0177.40102OpenAlexW4253827390MaRDI QIDQ5567347
Publication date: 1968
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1994972
Related Items (16)
On the common zeros of Bessel functions ⋮ M. G. Krein's ideas in the theory of orthogonal polynomials ⋮ Ratio asymptotics and quadrature formulas ⋮ Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. III: Associated continuous dual \(q\)-Hahn polynomials ⋮ Octabasic Laguerre polynomials and permutation statistics ⋮ The asymptotic zero distribution of Lommel polynomials as functions of their order with a variable complex argument ⋮ Recurrence relations for the moments of discrete semiclassical functionals of class s≤2 ⋮ Doubly infinite Jacobi matrices revisited: resolvent and spectral measure ⋮ The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials ⋮ The one-quarter class of orthogonal polynomials ⋮ Orthogonal polynomials associated with Coulomb wave functions ⋮ An explicit boundary integral representation of the solution of the two-dimensional heat equation and its discretization ⋮ A note on rates of convergence in estimating absolutely continuous distribution functions ⋮ Mehler-Heine type formulas for Charlier and Meixner polynomials ⋮ Some basic Lommel polynomials ⋮ Non-overlapping partitions, continued fractions, Bessel functions and a divergent series
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