Central factorials under the Kontorovich–Lebedev transform of polynomials

DOI10.1080/10652469.2012.672325zbMath1272.44001arXiv1110.6015OpenAlexW2025117331WikidataQ60692378 ScholiaQ60692378MaRDI QIDQ4915316

Ana F. Loureiro, Semyon B. Yakubovich

Publication date: 10 April 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6015

zbMATH Keywords

Fourier transformcombinatorial identitiesStirling numbersHermite polynomialsBernoulli numbersLaguerre polynomialsKontorovich-Lebedev transformmodified Bessel functionEuler numbersGenocchi numbersEuler polynomialscentral factorials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Bernoulli and Euler numbers and polynomials (11B68) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Special sequences and polynomials (11B83) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (9)

Lebedev–Skalskaya transforms and allied operators on certain function spaces ⋮ On Especial Cases of Boas-Buck-Type Polynomial Sequences ⋮ Orthogonal polynomials with ultra-exponential weight functions: an explicit solution to the Ditkin-Prudnikov problem ⋮ Boole-Dunkl polynomials and generalizations ⋮ On the orthogonality and convolution orthogonality via the Kontorovich-Lebedev transform ⋮ Unnamed Item ⋮ Lebedev–Skalskaya transforms on certain function spaces and associated pseudo-differential operators ⋮ Research Article Orthogonal polynomials attached to coherent states for the symmetric Pöschl–Teller oscillator ⋮ The Kontorovich-Lebedev Transform as a Map betweend-Orthogonal Polynomials

Uses Software

• DLMF
• OEIS

Cites Work

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