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variants of this functions
JacobiP




Mathematica Notation

Traditional Notation









Polynomials > JacobiP[n,a,b,z] > Series representations > Generalized power series > Expansions at n==infinity





http://functions.wolfram.com/05.06.06.0050.01









  


  








Input Form





JacobiP[n, a, b, z] \[Proportional] ((Pochhammer[1/2, n] 2^(a + b))/n!) (((1 - E^(I ArcCos[z]))^(-a - 1/2) (1 + E^(I ArcCos[z]))^(-b - 1/2))/ E^(I n ArcCos[z]) + (1 - E^((-I) ArcCos[z]))^(-a - 1/2) (1 + E^((-I) ArcCos[z]))^(-b - 1/2) E^(I n ArcCos[z])) (1 + \[Ellipsis]) /; (n -> Infinity)








Standard Form





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MathML Form







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</ci> </apply> </apply> </apply> <apply> <ci> Rule </ci> <ci> n </ci> <infinity /> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02