The Heun equation and the Darboux transformation

DOI10.1007/s11006-006-0027-5zbMath1139.34301OpenAlexW1994187174MaRDI QIDQ2473661

Yu. N. Sirota, Aleksandr Olegovich Smirnov

Publication date: 4 March 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0027-5

zbMATH Keywords

Schrödinger operatorBessel equationDarboux-Treibich-Verdier equationlinear ordinary differential equations of second order

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Elliptic functions and integrals (33E05)

Related Items (3)

Schrödinger potentials solvable in terms of the general Heun functions ⋮ Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions ⋮ Elliptic solitons, Fuchsian equations, and algorithms

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