A generalized hypergeometric function satisfying four analytic difference equations of Askey-Wilson type

From MaRDI portal
Publication:1961073

DOI10.1007/PL00005522zbMath0944.33014MaRDI QIDQ1961073

Simon N. M. Ruijsenaars

Publication date: 30 March 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)




Related Items

Quadratic transformations for a function that generalizes \(_{2}F_{1}\) and the Askey-Wilson polynomials, Properties of generalized univariate hypergeometric functions, A hypergeometric function transform and matrix-valued orthogonal polynomials, In memoriam: Mizan Rahman, Integrable quad equations derived from the quantum Yang-Baxter equation, General modular quantum dilogarithm and beta integrals, The endless beta integrals, Elliptic hypergeometric function and $6j$-symbols for the SL(2,$\mathbb{C}$) group, The Virasoro fusion kernel and Ruijsenaars' hypergeometric function, Reflectionless Analytic Difference Operators (AOs): Examples, Open Questions and Conjectures, The classical hyperbolic Askey-Wilson dynamics without bound states, On Barnes' multiple zeta and gamma functions, Hilbert space theory for reflectionless relativistic potentials, Hyperbolic beta integrals, A relativistic hypergeometric function, Theta hypergeometric integrals, Ruijsenaars' hypergeometric function and the modular double of \(\mathcal {U}_{q}(\mathfrak {sl}_{2}(\mathbb C))\), Cardy-like asymptotics of the 4d \( \mathcal{N}=4 \) index and $\mathrm{AdS}_5$ black holes, Limits of elliptic hypergeometric integrals, Confluent conformal blocks of the second kind, Unit circle elliptic beta integrals, Kernel functions and Bäcklund transformations for relativistic Calogero-Moser and Toda systems, An expansion formula for the Askey-Wilson function, Complex hypergeometric functions and integrable many-body problems