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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 a==infinity





http://functions.wolfram.com/05.06.06.0019.01









  


  










Input Form





JacobiP[n, a, b, z] \[Proportional] (a^n/n!) ((z + 1)/2)^n (1 + (n (1 + 2 b (-1 + z) + z + n (-1 + 3 z)))/(2 (1 + z) a) + (n!/(48 (1 + z)^2 (-2 + n)! a^2)) (24 b^2 (-1 + z)^2 + 4 (1 + z)^2 + 6 (n - 3 n z)^2 + n (-62 + 34 z (2 + z)) + 24 b (-1 + z) (3 + z + n (-1 + 3 z))) + \[Ellipsis]) /; (Abs[a] -> Infinity)










Standard Form





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MathML Form







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Rule Form





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





2002-03-07





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