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Transcendence measures and nonlinear functional equations of Mahler type

✍ Scribed by Kumiko Nishioka; Thomas Töpfer

Book ID
112497067
Publisher
Springer
Year
1991
Tongue
English
Weight
358 KB
Volume
57
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES

k-Regular Power Series and Mahler-Type F
k-Regular Power Series and Mahler-Type Functional Equations
✍ P.G. Becker 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 654 KB

Allouche and Shallit generalized the concept of \(k\)-automatic sequences by introducing the notion of \(k\)-regular sequences and \(k\)-regular power series. We show that \(k\)-regular power series satisfy Mahler-type functional equations, and that power series satisfying Mahler-type functional equ