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On the 4-dissections of certain infinite products

โœ Scribed by Olivia X. M. Yao, Ernest X. W. Xia

Book ID
118809258
Publisher
Springer US
Year
2012
Tongue
English
Weight
301 KB
Volume
30
Category
Article
ISSN
1382-4090

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๐Ÿ“œ SIMILAR VOLUMES

On certain infinite products II
On certain infinite products II
โœ Toyoizumi, Masao ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› London Mathematical Society ๐ŸŒ English โš– 73 KB
Transcendence of certain infinite produc
Transcendence of certain infinite products
โœ Yohei Tachiya ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 204 KB

We prove the transcendence results for the infinite product , where E k (x), F k (x) are polynomials, ฮฑ is an algebraic number, and r 2 is an integer. As applications, we give necessary and sufficient conditions for transcendence of โˆž k=0 (1 ), where F n and L n are Fibonacci numbers and Lucas num