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Found 324 Documents (Results 1–100)

Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions. arXiv:2305.00791

Preprint, arXiv:2305.00791 [math-ph] (2023).
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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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Two-dimensional Dirac oscillator in a magnetic field in deformed phase space with minimal-length uncertainty relations. (English. Russian original) Zbl 1519.81183

Theor. Math. Phys. 213, No. 3, 1738-1746 (2022); translation from Teor. Mat. Fiz. 213, No. 3, 495-504 (2022).
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Analytical solution of the Klein-Fock-Gordon equation for the modified Klingberg plus ring shaped potentials. (English. Russian original) Zbl 1515.81096

Russ. Phys. J. 65, No. 2, 226-236 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 65, No. 2, 29-37 (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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Keldysh-type problems with integral conditions for two-dimensional \(B\)-hyperbolic equations. (English. Russian original) Zbl 1506.35180

Mosc. Univ. Math. Bull. 76, No. 5, 221-229 (2021); translation from Vestn. Mosk. Univ., Ser. I 76, No. 5, 31-39 (2021).
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New representations of the Laguerre-Sobolev and Jacobi-Sobolev orthogonal polynomials. (English) Zbl 1482.33007

Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 305-327 (2021).
MSC:  33C47 33C45 34L10
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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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Ordinary differential operators and the integral representation of sums of certain power series. (English. Russian original) Zbl 1443.33034

Trans. Mosc. Math. Soc. 2019, 133-151 (2019); translation from Tr. Mosk. Mat. O.-va 80, No. 2, 157-177 (2019).
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A Sturm-Liouville theory for Hahn difference operator. (English) Zbl 1415.39014

Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and \(q\)-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 35-83 (2018).
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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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On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect. (English. Russian original) Zbl 1377.34108

Proc. Steklov Inst. Math. 297, 50-89 (2017); translation from Tr. Mat. Inst. Steklova 297, 62-104 (2017).
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