Meixner polynomials 3D animationMeixner polynomials 3D animationMeixner polynomials 3D animation
梅西纳多项式的前几项为：
参考文献编辑
Meixner, J. Orthogonale Polynomsysteme mit einer besonderen Gestalt der erzeugenden Funktion. Journal of the London Mathematical Society. 1934, s1–9: 6–13. doi:10.1112/jlms/s1-9.1.6.
Al-Salam, W. A. On a characterization of Meixner's Polynomials. Quart. J. Math. 1966, 17 (1): 7–10. doi:10.1093/qmath/17.1.7.
Atakishiyev, N. M.; Suslov, S. K. The Hahn and Meixner polynomials of an imaginary argument and some of their applications. J. Phys. A: Math. Gen. 1985, 18 (10): 1583. doi:10.1088/0305-4470/18/10/014.
Tratnik, M. V. Multivariable Meixer, Krawtchouk, and Meixner-Pollaczek polynomials. J. Math. Phys. 1989, 30 (12): 2740. doi:10.1063/1.528507.
Tratnik, M. V. Some multivariable orthogonal polynomials of the Askey tableau-discrete families. J. Math. Phys. 1991, 32 (9): 2337. doi:10.1063/1.529158.
Bavinck, H.; Vanhaeringen, H. Difference equations for generalized Meixner Polynomials. J. Math. Anal. Applic. 1994, 184 (3): 453–463. doi:10.1006/jmaa.1994.1214.
Jin, X.-S.; Wong, R. Uniform asymptotic expansion for Meixner polynomials. Construct. Approx. 1998, 14 (1): 113–150. doi:10.1007/s003659900066.
Álvarez de Morales, Maria; Pérez, T. E.; Piñar, M. A.; Ronveaux, A. (PDF). El. Trans. Num. Anal. 1999, 9: 1–25 [2015-01-27]. （原始内容 (PDF)存档于2008-11-22）.
Jin, X.-S.; Wong, R. Asymptotic formulas for the zeros of Meixner Polynomials. J. Approx. Theory. 1999, 96 (2): 281–300. doi:10.1006/jath.1998.3235.
Borodin, Alexei; Olshanski, Grigori. Meixner polynomials and random partitions. 2006. arXiv:math/0609806.
Koornwinder, Tom H.; Wong, Roderick S. C.; Koekoek, Roelof; Swarttouw, René F., Hahn Class: Definitions, Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (编), NIST Handbook of Mathematical Functions, Cambridge University Press, 2010, ISBN 978-0521192255, MR2723248
Boelen, L.; Filipuk, Galina; Van Assche, Walter. Recurrence coefficients of genralized Meixner polynomials and Peinlevé equations. J. Phys. A: Math. Theor. 2011, 44 (3): 035202. doi:10.1088/1751-8113/44/3/035202.
十月 23, 2023
梅西纳多项式, 定义为meixner, polynomials, animationmeixner, polynomials, animationmeixner, polynomials, animation, displaystyle, beta, gamma, choose, choose, beta, gamma, 的前几项为, displaystyle, beta, gamma, gamma, displaystyle, gamma, beta, beta, gamma, gamma, gamma, bet. 梅西纳多项式定义为Meixner polynomials 3D animationMeixner polynomials 3D animationMeixner polynomials 3D animation M n x b g k 0 n 1 k n k x k k x b n k g k displaystyle M n x beta gamma sum k 0 n 1 k n choose k x choose k k x beta n k gamma k 梅西纳多项式的前几项为 M x 1 b 1 g x g displaystyle Mx 1 beta 1 gamma x gamma M x 2 g 2 b 2 b g 2 g 2 g 2 2 b g 2 1 2 g b x g 2 2 g 1 g 2 x 2 g 2 displaystyle Mx 2 gamma 2 beta 2 beta gamma 2 gamma 2 gamma 2 2 beta gamma 2 1 2 gamma beta x gamma 2 2 gamma 1 gamma 2 x 2 gamma 2 M x 3 g 3 b 3 3 g 3 b 2 2 g 3 b g 3 3 g 3 b 2 3 g 2 b 2 3 g b 6 g 3 b 2 g 3 3 b g 2 2 x g 3 3 g 3 3 g 3 b 3 g 2 6 b g 2 3 g b 3 3 g x 2 g 3 3 g 2 3 g g 3 1 x 3 g 3 displaystyle Mx 3 gamma 3 beta 3 3 gamma 3 beta 2 2 gamma 3 beta gamma 3 3 gamma 3 beta 2 3 gamma 2 beta 2 3 gamma beta 6 gamma 3 beta 2 gamma 3 3 beta gamma 2 2 x gamma 3 3 gamma 3 3 gamma 3 beta 3 gamma 2 6 beta gamma 2 3 gamma beta 3 3 gamma x 2 gamma 3 3 gamma 2 3 gamma gamma 3 1 x 3 gamma 3 参考文献 编辑Meixner J Orthogonale Polynomsysteme mit einer besonderen Gestalt der erzeugenden Funktion Journal of the London Mathematical Society 1934 s1 9 6 13 doi 10 1112 jlms s1 9 1 6 Al Salam W A On a characterization of Meixner s Polynomials Quart J Math 1966 17 1 7 10 doi 10 1093 qmath 17 1 7 Atakishiyev N M Suslov S K The Hahn and Meixner polynomials of an imaginary argument and some of their applications J Phys A Math Gen 1985 18 10 1583 doi 10 1088 0305 4470 18 10 014 Andrews G E Askey Richard Classical orthogonal polynomials Lect Notes Math 1985 1171 36 82 doi 10 1007 BFb0076530 Tratnik M V Multivariable Meixer Krawtchouk and Meixner Pollaczek polynomials J Math Phys 1989 30 12 2740 doi 10 1063 1 528507 Tratnik M V Some multivariable orthogonal polynomials of the Askey tableau discrete families J Math Phys 1991 32 9 2337 doi 10 1063 1 529158 Bavinck H Vanhaeringen H Difference equations for generalized Meixner Polynomials J Math Anal Applic 1994 184 3 453 463 doi 10 1006 jmaa 1994 1214 Jin X S Wong R Uniform asymptotic expansion for Meixner polynomials Construct Approx 1998 14 1 113 150 doi 10 1007 s003659900066 Alvarez de Morales Maria Perez T E Pinar M A Ronveaux A Non standard orthogonality for Meixner Polynomials PDF El Trans Num Anal 1999 9 1 25 2015 01 27 原始内容 PDF 存档于2008 11 22 Jin X S Wong R Asymptotic formulas for the zeros of Meixner Polynomials J Approx Theory 1999 96 2 281 300 doi 10 1006 jath 1998 3235 Borodin Alexei Olshanski Grigori Meixner polynomials and random partitions 2006 arXiv math 0609806 nbsp Koornwinder Tom H Wong Roderick S C Koekoek Roelof Swarttouw Rene F Hahn Class Definitions Olver Frank W J Lozier Daniel M Boisvert Ronald F Clark Charles W 编 NIST Handbook of Mathematical Functions Cambridge University Press 2010 ISBN 978 0521192255 MR2723248 Boelen L Filipuk Galina Van Assche Walter Recurrence coefficients of genralized Meixner polynomials and Peinleve equations J Phys A Math Theor 2011 44 3 035202 doi 10 1088 1751 8113 44 3 035202 取自 https zh wikipedia org w index php title 梅西纳多项式 amp oldid 58758572, 维基百科，wiki，书籍，书籍，图书馆，
