Document Zbl 07479639

Factorizing Lamé operator. (English) Zbl 07479639

Univers. J. Math. Math. Sci. 13, No. 1, 15-31 (2020).

MSC:

47A68	Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators
34A05	Explicit solutions, first integrals of ordinary differential equations

Keywords:

elliptic function; factorization; Lamé operator/equation; Riccati equation

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References:

[1]	M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standard Applied Mathematics Series 55, 1972, 470pp. · Zbl 0543.33001
[2]	F. M. Arscott, Periodic Differential Equations: An Introduction to Mathieu, Lamé and Allied Functions, Pergamon Press, 1964. · Zbl 0121.29903
[3]	L. M. Berkovich, Method of factorization of ordinary differential operators and some of its applications, Applicable Analysis and Discrete Mathematics 1 (2007), 122-149. · Zbl 1199.34003
[4]	F. Cooper, A. Khare and U. Sukhatme, Supersymmetry in Quantum Mechanics, World Scientific, 2004.
[5]	M. N. Hounkonnou and A. Ronveaux, Generalized Heun and Lamé’s equations; factorization, Preprint arXiv:0902.2991v1 [math-ph], 2009.
[6]	E. T. Whittaker and W. N. Watson, A Course of Modern Analysis, Cambridge University Press, 1962. · Zbl 0105.26901

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