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Q克拉夫楚克多项式

q克拉夫楚克多项式是以基本超几何函数定义的正交多项式[1]

图集 编辑

 
QKrawtchouk polynomials ABS COMPLEX 3D Maple plot
 
QKrawtchouk polynomials IM COMPLEX 3D Maple plot
 
QKrawtchouk polynomials RE COMPLEX 3D Maple plot
 
QKrawtchouk polynomials ABS density Maple plot
 
QKrawtchouk polynomials im density Maple plot
 
QKrawtchouk polynomials RE density Maple plot


参考文献 编辑

  • Gasper, George; Rahman, Mizan, Basic hypergeometric series, Encyclopedia of Mathematics and its Applications 96 2nd, Cambridge University Press, 2004, ISBN 978-0-521-83357-8, MR 2128719, doi:10.2277/0521833574 
  • Koekoek, Roelof; Lesky, Peter A.; Swarttouw, René F., Hypergeometric orthogonal polynomials and their q-analogues, Springer Monographs in Mathematics, Berlin, New York: Springer-Verlag, 2010, ISBN 978-3-642-05013-8, MR 2656096, doi:10.1007/978-3-642-05014-5 
  • Koornwinder, Tom H.; Wong, Roderick S. C.; Koekoek, Roelof; Swarttouw, René F., http://dlmf.nist.gov/18 |contribution-url=缺少标题 (帮助), 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 
  • Stanton, Dennis, Three addition theorems for some q-Krawtchouk polynomials, Geometriae Dedicata, 1981, 10 (1): 403–425, ISSN 0046-5755, MR 0608153, doi:10.1007/BF01447435 
  1. ^ Roelof KoeKoek, p496

q克拉夫楚克多项式, q克拉夫楚克多项式是以基本超几何函数定义的正交多项式, displaystyle, 图集, 编辑, nbsp, qkrawtchouk, polynomials, complex, maple, plot, nbsp, qkrawtchouk, polynomials, complex, maple, plot, nbsp, qkrawtchouk, polynomials, complex, maple, plot, nbsp, qkrawtchouk, polynomials, densi. q克拉夫楚克多项式是以基本超几何函数定义的正交多项式 1 K n q x p N q 3 F 2 q n q x p q n q N 0 q q displaystyle K n q x p N q 3 Phi 2 q n q x pq n q N 0 q q 图集 编辑 nbsp QKrawtchouk polynomials ABS COMPLEX 3D Maple plot nbsp QKrawtchouk polynomials IM COMPLEX 3D Maple plot nbsp QKrawtchouk polynomials RE COMPLEX 3D Maple plot nbsp QKrawtchouk polynomials ABS density Maple plot nbsp QKrawtchouk polynomials im density Maple plot nbsp QKrawtchouk polynomials RE density Maple plot参考文献 编辑Gasper George Rahman Mizan Basic hypergeometric series Encyclopedia of Mathematics and its Applications 96 2nd Cambridge University Press 2004 ISBN 978 0 521 83357 8 MR 2128719 doi 10 2277 0521833574 Koekoek Roelof Lesky Peter A Swarttouw Rene F Hypergeometric orthogonal polynomials and their q analogues Springer Monographs in Mathematics Berlin New York Springer Verlag 2010 ISBN 978 3 642 05013 8 MR 2656096 doi 10 1007 978 3 642 05014 5 Koornwinder Tom H Wong Roderick S C Koekoek Roelof Swarttouw Rene F http dlmf nist gov 18 contribution url 缺少标题 帮助 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 Stanton Dennis Three addition theorems for some q Krawtchouk polynomials Geometriae Dedicata 1981 10 1 403 425 ISSN 0046 5755 MR 0608153 doi 10 1007 BF01447435 Roelof KoeKoek p496 取自 https zh wikipedia org w index php title Q克拉夫楚克多项式 amp oldid 35339478, 维基百科,wiki,书籍,书籍,图书馆,

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