𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the transcendence of some power series

✍ Scribed by Gül Karadeniz Gözeri, Ayten Pekin, Adem Kılıçman


Book ID
120735925
Publisher
Springer International Publishing AG
Year
2013
Tongue
English
Weight
156 KB
Volume
2013
Category
Article
ISSN
1687-1839

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Transcendence of Binomial and Lucas' For
✍ J.-P Allouche; D Gouyou-Beauchamps; G Skordev 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 120 KB

is transcendental over ‫ޑ‬ X when t is an integer G 2. This is due to Stanley for t even, and independently to Flajolet and to Woodcock and Sharif for the general case. While Stanley and Flajolet used analytic methods and studied the asymptotics of the coefficients of this series, Woodcock and Shari

A Theorem on Transcendence of Infinite S
✍ M.A. Nyblom 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 149 KB

As an application of Roth's theorem concerning the rational approximation of algebraic numbers, a sufficiency condition is derived for a series of positive rational terms to converge to a transcendental number. This condition is then used to obtain similar sufficiency conditions that exist within th