On \(q\)-analogues of divergent and exponential series
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Publication:1006189
DOI10.2969/jmsj/06110291zbMath1169.11031OpenAlexW2043709357MaRDI QIDQ1006189
Publication date: 20 March 2009
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2969/jmsj/06110291
Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Measures of irrationality and of transcendence (11J82) Irrationality; linear independence over a field (11J72)
Related Items (4)
Euler's factorial series and global relations ⋮ Type II Hermite-Padé approximations of generalized hypergeometric series ⋮ Remarks on linear independence of certain \(q\)-series ⋮ Remainder Padé approximants for hypergeometric series
Cites Work
- Arithmetic properties of special Heine series
- Linear independence of the values of transcendental solutions of certain functional equations.
- Linear independence measures for values of Heine series
- On Diophantine approximations of mock theta functions of third order
- Gevrey series of arithmetic type. II: Transcendence without transcendence
- On linear independence of the values of generalized Heine series
- Measures of linear independence of values of entire transcendental solutions of certain functional equations
- A reciprocity theorem for certain \(q\)-series found in Ramanujan's lost notebook
- On the values of Heine series at algebraic points
- Ein Satz über ganze Funktionen und Irrationalitätsaussagen
- On Siegel–Shidlovskii's theory for q-difference equations
- Zur Irrationalität und linearen Unabhängigkeit der Werte der Lösungen einer Funktionalgleichung von Poincaré.
- Baker-Type Estimates for Linear Forms in the Values of q-Series
- Linear independence measures for infinite products
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