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Found 72 Documents (Results 1–72)

On expansions in the exact and asymptotic eigenfunctions of the one-dimensional Schrödinger operator. (English. Russian original) Zbl 1517.81051

Math. Notes 112, No. 5, 623-641 (2022); translation from Mat. Zametki 112, No. 5, 644-664 (2022).
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Exact solution of the position-dependent mass Schrödinger equation with the completely positive oscillator-shaped quantum well potential. arXiv:2212.13062

Preprint, arXiv:2212.13062 [quant-ph] (2022).
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On eigenproblem for inverted harmonic oscillators. (English) Zbl 1484.34073

Banaszak, Grzegorz (ed.) et al., Arithmetic methods in mathematical physics and biology II. Proceedings of the 2nd international conference, Będlewo, Poland, August 5–11, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 124, 61-73 (2021).
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Bessel functions of two complex mutually conjugate variables and their application in boundary-value problems of mathematical physics. (English. Ukrainian original) Zbl 1499.33025

Ukr. Math. J. 69, No. 3, 444-463 (2017); translation from Ukr. Mat. Zh. 69, No. 3, 381-396 (2017).
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Orthogonal polynomials and \(S\)-curves. (English) Zbl 1318.30056

Arvesú, Jorge (ed.) et al., Recent advances in orthogonal polynomials, special functions, and their applications. 11th international symposium, Universidad Carlos III de Madrid, Leganés, Spain, August 29 – September 2, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6896-6/pbk). Contemporary Mathematics 578, 195-239 (2012).
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On asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials. (English) Zbl 1207.30058

Arvesú, Jorge (ed.) et al., Recent trends in orthogonal polynomials and approximation theory. International workshop in honor of Guillermo López Lagomasino’s 60th birthday, Universidad Carlos III de Madrid, Leganés, Spain. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4803-6/pbk). Contemporary Mathematics 507, 209-232 (2010).
MSC:  30E15 33E30 34L20
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A method for computing the eigenvalues of prolate spheroidal functions of zero order. (English. Russian original) Zbl 1046.65114

Dokl. Math. 63, No. 1, 136-138 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 376, No. 1, 30-32 (2001).
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Connection formula, hyperasymptotics, and Schrödinger eigenvalues: Dispersive hyperasymptotics and the anharmonic oscillator. (English) Zbl 0990.34073

Howls, Christopher J. (ed.) et al., Toward the exact WKB analysis of differential equations, linear or non-linear. Papers from the symposium on algebraic analysis of singular perturbations, Kyoto, Japan, November 30-December 5, 1998. Kyoto: Kyoto University Press. 121-134 (2000).
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