TRIANGULAR REPRESENTATION OF THE JOST-TYPE SOLUTION TO THE PERTURBED MODIFIED MATHIEU EQUATION

DOI10.30546/2409-4994.2023.49.2.275zbMath1529.34018OpenAlexW4389253828MaRDI QIDQ6185517

Agil K. Khanmamedov, Unnamed Author

Publication date: 29 January 2024

Published in: Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2409-4994.2023.49.2.275

zbMATH Keywords

Mathieu equationSchrödinger equationRiemann functionperturbed equationtransformation operatorJost-type solution

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse problems involving ordinary differential equations (34A55)

Cites Work

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• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• The method of transformation operators in the inverse scattering problem. The one-dimensional Stark effect
• Uniform asymptotic expansions of solutions of the Mathieu equation and the modified Mathieu equation
• Exponentially confining potential well
• A remark on the inverse scattering problem for the perturbed Hill equation
• Transformation operators for perturbed harmonic oscillators
• Mathieu functions and coulomb spheroidal functions in the electrostatic probe theory
• The Eigenvalues of Mathieu's Equation and their Branch Points
• ON THE TRANSFORMATION OPERATOR FOR THE SCHRODINGER EQUATION WITH AN ADDITIONAL ¨ INCREASING POTENTIAL

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