Problems which interest and/or annoy me

DOI10.1016/0377-0427(93)90312-YzbMath0797.33006MaRDI QIDQ1318440

Richard Askey

Publication date: 10 October 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

positivityJacobi polynomialsBessel functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (9)

A note on convergence of Newton interpolating polynomials ⋮ On the scientific work of Kunyang Wang ⋮ Newton diagram of positivity for ₁F₂ generalized hypergeometric functions ⋮ Positivity of more Jacobi polynomial sums ⋮ An extension of positivity for integrals of Bessel functions and Buhmann’s radial basis functions ⋮ The Newton polyhedron and positivity of \(_2F_3\) hypergeometric functions ⋮ Some analytic features concerning the neumann second series of bessel functions ⋮ High precision computation of a constant in the theory of trigonometric series ⋮ Rational extension of the Newton diagram for the positivity of \({}_1F_2\) hypergeometric functions and Askey-Szegö problem

Cites Work

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• A new kind of inequality for Bessel functions
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• Positivity and the convolution structure for Jacobi series
• Banach algebras for Jacobi series and positivity of a kernel
• On the positivity of certain sums of ultraspherical polynomials
• Solving Solvable Quintics
• Orthogonal Polynomials and a Discrete Boundary Value Problem I
• Orthogonal Polynomials and a Discrete Boundary Value Problem II
• An integral inequality satisfied by Bessel functions
• Positive Integrals of Bessel Functions
• Grünbaum’s Inequality for Bessel Functions and Its Extensions
• Positive Jacobi Polynomial Sums, II
• Positive Sums of the Classical Orthogonal Polynomials
• A CHARACTERIZATION THEOREM FOR POSITIVE DEFINITE SEQUENCES ON THE KRAWTCHOUK POLYNOMIALS1
• Linearization of the Product of Jacobi Polynomials. I
• Linearization of the Product of Jacobi Polynomials. II
• A Property of Legendre Polynomials
• On Certain Functional Identities in E^N
• Some Positive Trigonometric Sums
• On a monotonic property of certain Sturm-Liouville functions

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