Variation diminishing transformations and ultraspherical polynomials

DOI10.1007/BF02786855zbMath0099.28003MaRDI QIDQ773916

I. I. jun. Hirschman

Publication date: 1961

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

series, summability

Related Items

Integral Equations Associated with Hankel Convolutions ⋮ The generalized discrete Legendre transformation ⋮ Variation diminishing convolution kernels associated with fractional Hankel-type transform ⋮ Variation and oscillation for semigroups associated with discrete Jacobi operators ⋮ Total positivity absorption probabilities and applications ⋮ Discrete harmonic analysis associated with ultraspherical expansions ⋮ Variation diminishing convolution kernels associated with second-order differential operators

Cites Work

• Variation diminishing Hankel transforms
• Certain integrals and infinite series involving ultra-spherical polynomials and Bessel functions
• On Pólya frequency functions. I. The totally positive functions and their Laplace transforms
• A reduction theorem for totally positive matrices
• On the generating functions of totally positive sequences. I
• On the generating functions of totally positive sequences. II
• On the Generating Function of a Doubly Infinite, Totally Positive Sequence
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