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Found 49 Documents (Results 1–49)

Calculation of the Mandel parameter for an oscillator-like system generated by generalized Chebyshev polynomials. (English. Russian original) Zbl 07798753

J. Math. Sci., New York 277, No. 4, 523-532 (2023); translation from Zap. Nauchn. Semin. POMI 493, 73-87 (2020).
MSC:  33C45 81Q05
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Realization by a differential operator of the annihilation operator for generalized Chebyshev oscillator. (English. Russian original) Zbl 1519.33009

J. Math. Sci., New York 264, No. 3, 252-270 (2022); translation from Zap. Nauchn. Semin. POMI 494, 75-102 (2020).
MSC:  33C80 33C45
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Solution of the problem of heat conduction for the transversely isotropic piecewise-homogeneous space with two circular inclusions. (English. Russian original) Zbl 1435.80007

J. Math. Sci., New York 243, No. 1, 162-182 (2019); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 2, 130-141 (2017).
MSC:  80A19 45F15 33C45
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On differential operators for Chebyshev polynomials in several variables. (English. Russian original) Zbl 1479.42068

J. Math. Sci., New York 242, No. 5, 651-657 (2019); translation from Zap. Nauchn. Semin. POMI 473, 99-109 (2018).
MSC:  42C05 33C45
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On some properties of the orthogonal polynomials over a contour with general Jacobi weight. (English. Ukrainian original) Zbl 1364.30007

J. Math. Sci., New York 220, No. 5, 533-553 (2017); translation from Ukr. Mat. Visn. 13, No. 1, 1-27 (2016).
MSC:  30C10 30C62
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Sharp estimates of deviations from Fourier-Haar sums for continuous functions of two variables. (English. Russian original) Zbl 1387.42029

J. Math. Sci., New York 215, No. 5, 552-559 (2016); translation from Zap. Nauchn. Semin. POMI 434, 19-31 (2015).
MSC:  42C10 42C40
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Discrete spectrum of the Jacobi matrix related to recurrence relations with periodic coefficients. (English. Russian original) Zbl 1342.33018

J. Math. Sci., New York 213, No. 5, 694-705 (2016); translation from Zap. Nauchn. Semin. POMI 433, 111-130 (2015).
MSC:  33C45
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Integral equations and the scattering diagram in the problem of diffraction by two shifted contacting wedges with polygonal boundary. (English. Russian original) Zbl 1381.76326

J. Math. Sci., New York 214, No. 3, 322-336 (2016); translation from Zap. Nauchn. Semin. POMI 426, 119-139 (2014).
MSC:  76Q05 45B05 33C47
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Convergence of Fourier series on the systems of rational functions on the real axis. (English. Russian original) Zbl 1348.42027

J. Math. Sci., New York 214, No. 2, 229-246 (2016); translation from Ukr. Mat. Visn. 12, No. 3, 403-426 (2015).
MSC:  42C10 26C15
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Differential equations for the elementary 3-symmetric Chebyshev polynomials. (English. Russian original) Zbl 1280.33007

J. Math. Sci., New York 192, No. 1, 37-49 (2013); translation from Zap. Nauchn. Semin. POMI 3982, 64-86 (2012).
MSC:  33C45 34A05
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Jacobi theta-functions and systems of integer shifted Gaussian functions. (English. Russian original) Zbl 1219.42023

J. Math. Sci., New York 173, No. 2, 231-241 (2011); translation from Sovrem. Mat. Prilozh. 67, 107-116 (2010).
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On approximation of functions by trigonometric polynomials with incomplete spectrum in \(L_p\), \({0<p<1}\). (English. Russian original) Zbl 1288.41005

J. Math. Sci., New York 165, No. 4, 463-472 (2010); translation from Zap. Nauchn. Semin. POMI 366, 67-83 (2009).
MSC:  41A50 41A60 42C10
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Peripheral zone of disturbance from a local impulse in a string mesh formed by two systems of strings with different impedances. (English. Russian original) Zbl 1288.35465

J. Math. Sci., New York 151, No. 2, 2859-2864 (2008); translation from Zap. Nauchn. Semin. POMI 347, 107-116 (2007).
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Computation of Legendre functions. (English. Russian original) Zbl 1185.33029

J. Math. Sci., New York 148, No. 5, 639-649 (2008); translation from Zap. Nauchn. Semin. POMI 342, 14-30 (2007).
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On \(N\) -termed approximations in \(H^s\)-norms with respect to the Haar system. (English. Russian original) Zbl 1160.41007

J. Math. Sci., New York 155, No. 1, 109-128 (2008); translation from Sovrem. Mat., Fundam. Napravl. 25, 106-125 (2007).
MSC:  41A30 41A63 42C10
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Generalized coherent states for \(q\)-oscillator associated with discrete \(q\)-Hermite polynomials. (Russian, English) Zbl 1130.81039

J. Math. Sci., New York 132, No. 1, 26-36 (2006); translation from Zap. Nauchn. Semin. POMI 308, 48-66, 252-253 (2004).
MSC:  81R30 81R12 33D45
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Nonharmonic analysis. (English. Russian original) Zbl 1051.42018

J. Math. Sci., New York 116, No. 5, 3551-3619 (2003); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 96, 106-211 (2006).
MSC:  42C10 42C30
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Upper bounds of the Lebesgue constants of summation methods for Fourier-Jacobi series defined by a multiplier function. (English. Russian original) Zbl 1092.42018

J. Math. Sci., New York 120, No. 5, 1662-1671 (2004); translation from Zap. Nauchn. Semin. POMI 282, 34-50 (2001).
MSC:  42C10 42A24
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Some properties of generalized associated Legendre functions of second kind. (English. Russian original) Zbl 0835.33003

J. Math. Sci., New York 69, No. 6, 1395-1403 (1994); translation from Vychisl. Prikl. Mat., Kiev 68, 34-45 (1989).
MSC:  33C45
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