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Transcendental transcendency of certain functions of Poincaré

✍ Scribed by J. F. Ritt

Publisher
Springer
Year
1926
Tongue
English
Weight
649 KB
Volume
95
Category
Article
ISSN
0025-5831

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📜 SIMILAR VOLUMES

Transcendence of certain infinite produc
Transcendence of certain infinite products
✍ Yohei Tachiya 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 204 KB

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