Some dual definite integrals for Bessel functions

zbMath1429.33008arXiv1509.07419MaRDI QIDQ5205869

Sean J. Nair, Rebekah Palmer, Howard S. Cohl

Publication date: 17 December 2019

Full work available at URL: https://arxiv.org/abs/1509.07419

zbMATH Keywords

Chebyshev polynomialshypergeometric functionsJacobi polynomialsBessel functionsassociated Legendre functionsStruve functionsdefinite integralsimproper integrals

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Uses Software

• DLMF

Cites Work

• Definite integrals using orthogonality and integral transforms
• Geometry by Its History
• A New Proof of Sonine's Formula
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