On the radius of convergence of \(q\)-series

DOI10.1016/0019-3577(92)90041-IzbMath0787.40003MaRDI QIDQ1309356

V. Pereyra

Publication date: 6 December 1993

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

\(q\)-seriescontinued fractionsirrationalityradius of convergence

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Trigonometric and exponential sums (general theory) (11L03) Convergence and divergence of continued fractions (40A15) Irrationality; linear independence over a field (11J72)

Related Items (6)

Asymptotic behaviour of the Sudler product of sines for quadratic irrationals ⋮ On Weyl products and uniform distribution modulo one ⋮ On the error-sum function of pierce expansions ⋮ The error-sum function of continued fractions ⋮ On the error-sum function of alternating Lüroth series ⋮ The size of \((q;q)_n\) for \(q\) on the unit circle

Cites Work

• Convergence of Padé approximants for a \(q\)-hypergeometric series (Wynn's power series I)
• Irregular distribution of \(\{n\beta{}\} \), \(n=1,2,3,\)\dots , quadrature of singular integrands, and curious basic hypergeometric series
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