Irrationality proof of a q-extension of ζ(2) using little q-Jacobi polynomials

DOI10.4064/aa138-2-5zbMath1226.11074arXiv0809.2501OpenAlexW3102896326MaRDI QIDQ3184316

Walter Van Assche, Christophe Smet

Publication date: 14 October 2009

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.2501

Mathematics Subject Classification ID

Padé approximation (41A21) Measures of irrationality and of transcendence (11J82) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Irrationality; linear independence over a field (11J72)

Related Items (5)

Quantitative linear independence of an infinite product and its derivatives ⋮ Hermite-Padé rational approximation to irrational numbers ⋮ Multiple Askey–Wilson polynomials and related basic hypergeometric multiple orthogonal polynomials ⋮ On the irrationality of generalized \(q\)-logarithm ⋮ Multiple big q-Jacobi polynomials

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