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维基百科

阿拉-萨拉姆-迟哈剌多项式

阿拉-萨拉姆-迟哈剌多项式(Al-Salam-Chihara polynomials)是一个以基本超几何函数定义的正交多项式[1]

AL-SALAM-CHIHARA 2D MAPLE PLOT

极限关系 编辑

阿拉-萨拉姆-迟哈剌多项式→连续q拉盖尔多项式

阿拉-萨拉姆-迟哈剌多项式 b=0,即得连续大Q埃尔米特多项式

图集 编辑

 
AL-SALAM-CHIHARA ABS COMPLEX 3D MAPLE PLOT
 
AL-SALAM-CHIHARA IM COMPLEX 3D MAPLE PLOT
 
AL-SALAM-CHIHARA RE COMPLEX 3D MAPLE PLOT
 
AL-SALAM-CHIHARA ABS DENSITY MAPLE PLOT
 
AL-SALAM-CHIHARA IM DENSITY MAPLE PLOT
 
AL-SALAM-CHIHARA RE DENSITY MAPLE PLOT

参考文献 编辑

  1. ^ Roelof KoeKoek, Hypergeometric Orthogonal Polynomials and its q-Analogues, p455,Springer 2010
  • Al-Salam, W. A.; Chihara, Theodore Seio, Convolutions of orthonormal polynomials, SIAM Journal on Mathematical Analysis, 1976, 7 (1): 16–28, ISSN 0036-1410, MR 0399537, doi:10.1137/0507003 
  • 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., Al-Salam–Chihara polynomials, 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 

阿拉, 萨拉姆, 迟哈剌多项式, salam, chihara, polynomials, 是一个以基本超几何函数定义的正交多项式, salam, chihara, maple, plotqn, nan3ϕ2, naeiθae, iθab0, displaystyle, frac, left, begin, matrix, theta, theta, matrix, right, 极限关系, 编辑, 连续q拉盖尔多项式令, 即得连续大q埃尔米特多项式图集, 编辑, nbsp, salam, chihara, com. 阿拉 萨拉姆 迟哈剌多项式 Al Salam Chihara polynomials 是一个以基本超几何函数定义的正交多项式 1 AL SALAM CHIHARA 2D MAPLE PLOTQn x a b q ab q nan3ϕ2 q naei8ae i8ab0 q q displaystyle Q n x a b q frac ab q n a n 3 phi 2 left begin matrix q n amp ae i theta amp ae i theta ab amp 0 end matrix q q right 极限关系 编辑阿拉 萨拉姆 迟哈剌多项式 连续q拉盖尔多项式令阿拉 萨拉姆 迟哈剌多项式 b 0 即得连续大Q埃尔米特多项式图集 编辑 nbsp AL SALAM CHIHARA ABS COMPLEX 3D MAPLE PLOT nbsp AL SALAM CHIHARA IM COMPLEX 3D MAPLE PLOT nbsp AL SALAM CHIHARA RE COMPLEX 3D MAPLE PLOT nbsp AL SALAM CHIHARA ABS DENSITY MAPLE PLOT nbsp AL SALAM CHIHARA IM DENSITY MAPLE PLOT nbsp AL SALAM CHIHARA RE DENSITY MAPLE PLOT参考文献 编辑 Roelof KoeKoek Hypergeometric Orthogonal Polynomials and its q Analogues p455 Springer 2010Al Salam W A Chihara Theodore Seio Convolutions of orthonormal polynomials SIAM Journal on Mathematical Analysis 1976 7 1 16 28 ISSN 0036 1410 MR 0399537 doi 10 1137 0507003 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 Al Salam Chihara polynomials 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 取自 https zh wikipedia org w index php title 阿拉 萨拉姆 迟哈剌多项式 amp oldid 35336015, 维基百科,wiki,书籍,书籍,图书馆,

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