Scattering techniques in transmutation and some connection formulas for special functions

DOI10.3792/pjaa.57.34zbMath0477.34020OpenAlexW2089254870MaRDI QIDQ1160800

John E. Gilbert, Robert W. Carroll

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.34

zbMATH Keywords

transmutation operatorWeyl integralRiemann-Liouville integrals

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Scattering theory of linear operators (47A40) Ordinary differential operators (34L99)

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Cites Work

• Transmutation, generalized translation, and transform theory. I
• Some remarks on transmutation, scattering theory, and special functions
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Integral representations for Jacobi polynomials and some applications
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• The Inverse Problem in the Quantum Theory of Scattering
• Some Remarks on Transmutation
• Research announcement
• Transmutation and separation of variables
• Théoreme de Paley-Wiener associe à un opérateur différentiel singulier sur \((0,+\infty)\)
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