Paris, R. B.; Wood, A. D. On the \(L^ 2\) nature of solutions of \(n\)th order symmetric differential equations and McLeod’s conjecture. (English) Zbl 0483.34014 Proc. R. Soc. Edinb., Sect. A 90, 209-236 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 16 Documents MSC: 34A99 General theory for ordinary differential equations 47E05 General theory of ordinary differential operators 34E05 Asymptotic expansions of solutions to ordinary differential equations 34D05 Asymptotic properties of solutions to ordinary differential equations Keywords:L2-solutions; asymptotics; even order symmetric differential equations; deficiency indices; Meijer’s G-function; algebraic solutions PDF BibTeX XML Cite \textit{R. B. Paris} and \textit{A. D. Wood}, Proc. R. Soc. Edinb., Sect. A, Math. 90, 209--236 (1981; Zbl 0483.34014) Full Text: DOI References: [1] Coddington, Theory of Ordinary Differential Equations (1955) · Zbl 0064.33002 [2] DOI: 10.1137/0502001 · Zbl 0213.10303 [3] DOI: 10.1112/plms/s2-5.1.59 · JFM 38.0449.01 [4] Anikeeva, Uspehi Mat. Nauk. 32 pp 179– (1977) [5] DOI: 10.1090/S0002-9947-1950-0034491-8 [6] Paris, Proc. Roy. Soc. Edinburgh Sect. A 85 pp 15– (1980) · Zbl 0429.34010 [7] Delerue, C. R. Acad. Sci. Paris 240 pp 912– (1950) [8] Naimark, Linear Differential Operators (1968) [9] Luke, Mathematical Functions and their Approximations (1975) [10] Kaplan, Operational Methods for Linear Systems (1962) · Zbl 0143.11204 [11] Kauffman, Lecture Notes in Mathematics 564 pp 259– (1976) [12] DOI: 10.1017/S0305004100032400 [13] Erdélyi, Higher Transcendental Functions I (1953) [14] DOI: 10.1098/rspa.1917.0035 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.