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An elementary proof of the irrationality of Tschakaloff series

โœ Scribed by W. Zudilin

Publisher
Springer US
Year
2007
Tongue
English
Weight
97 KB
Volume
146
Category
Article
ISSN
1573-8795

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๐Ÿ“œ SIMILAR VOLUMES

Irrationality Results for Values of Gene
Irrationality Results for Values of Generalized Tschakaloff Series
โœ Masaaki Amou; Masanori Katsurada ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 137 KB

Arithmetical properties of values of the entire function T q (x)= n=0 x n ร‚q (1ร‚2) n(n+1) , where q is a parameter, | q | > 1, were first studied by L. Tschakaloff (1921, Math. Ann. 80, 62 74; 84, 100 114). In this paper we introduce a generalization of T q (x), given by (1.3), and prove the irratio