Vilenkin, N. Ya. Special functions and the theory of group representations. Translation from the Russian by V. N. Singh. (English) Zbl 0172.18404 Translations of Mathematical Monographs. 22. Providence, RI: American Mathematical Society (AMS). X, 612 p. (1968). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 428 Documents MathOverflow Questions: Closed form expression for \(\sum_{n=0}^{\infty} J_n^2(x) \cos(ny)\), where \(J_n(x)\) is the Bessel function of order \(n\) Keywords:functional analysis Citations:Zbl 0144.38003 PDFBibTeX XML Digital Library of Mathematical Functions: §13.27 Mathematical Applications ‣ Applications ‣ Chapter 13 Confluent Hypergeometric Functions