Some connections between the spherical and parabolic bases on the cone expressed in terms of the Macdonald function

DOI10.1155/2014/741079zbMath1474.33076OpenAlexW1975145830WikidataQ57633183 ScholiaQ57633183MaRDI QIDQ1724868

Junesang Choi, I. A. Shilin

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/741079

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

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Cites Work

• Double \(SO(2, 1)\)-integrals and formulas for Whittaker functions
• A convolution operator related to the generalized Mehler-Fock and Kontorovich-Lebedev transforms
• Certain connections between the spherical and hyperbolic bases on the cone and formulas for related special functions
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