More infinite products: Thue–Morse and the gamma function

Letting ( t n ) denote the Thue–Morse sequence with values 0, 1, we note that the Woods–Robbins product ∏ n ≥ 0 2 n + 1 2 n + 2 ( - 1 ) t n = 2 - 1 / 2 involves a rational function in n and the ± 1 Thue–Morse sequence ( ( - 1 ) t n ) n ≥ 0 . The purpose of this paper is twofold. On the one hand, we...

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Bibliographic Details
Published in:	The Ramanujan journal Vol. 49; no. 1; pp. 115 - 128
Main Authors:	Allouche, J.-P., Riasat, S., Shallit, J.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.05.2019 Springer Nature B.V Springer Verlag
Subjects:	Combinatorics Constants Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Gamma function Mathematics Mathematics and Statistics Number Theory Rational functions 11B83 Prouhet–Thue–Morse sequence 11B85 11A63 68R15 Woods and Robbins product Closed formulas for infinite products
ISSN:	1382-4090, 1572-9303
Online Access:	Get full text
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