On a ℂ2-valued integral index transform and bilateral hypergeometric series

DOI10.1080/10652469.2022.2050721OpenAlexW4221022376MaRDI QIDQ5869481

Yuriĭ A. Neretin

Publication date: 28 September 2022

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

Full work available at URL: https://arxiv.org/abs/2105.10800

zbMATH Keywords

hypergeometric functionsSchrödinger equationdifference operatorsJacobi transformbilateral hypergeometric functions

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Difference operators (39A70) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Difference Sturm-Liouville problems in the imaginary direction
• An analog of the Dougall formula and of the de Branges-Wilson integral
• Some continuous analogs of the expansion in Jacobi polynomials and vector-valued orthogonal bases
• Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit
• A pair of commuting hypergeometric operators on the complex plane and bispectrality
• Wilson function transforms related to Racah coefficients
• Index hypergeometric transform and imitation of analysis of Berezin kernels on hyperbolic spaces
• Continuous Hahn Functions as Clebsch-Gordan Coefficients
• On the Kronecker Products of Irreducible Representations of the 2 × 2 Real Unimodular Group. I
• TENSOR PRODUCTS OF UNITARY REPRESENTATIONS OF THE THREE-DIMENSIONAL LORENTZ GROUP
• Beta-integrals and finite orthogonal systems of Wilson polynomials
• General Transformations of Bilateral Cognate Trigonometrical Series of Ordinary Hypergeometric Type

This page was built for publication: On a ℂ²-valued integral index transform and bilateral hypergeometric series