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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 z==infinity > For the function itself > Expansions in 1/(1-z)





http://functions.wolfram.com/05.06.06.0015.01









  


  








Input Form





JacobiP[n, a, b, z] \[Proportional] (Pochhammer[1 + a + b + n, n]/(2^n n!)) (z - 1)^n (1 - (2 n (-a - n))/((-a - b - 2 n) (1 - z)) - (2 n (1 - n) (-a - n) (1 - a - n))/((-a - b - 2 n) (1 - a - b - 2 n) (1 - z)^2) - \[Ellipsis]) /; (Abs[z] -> Infinity) && !(Element[a + b + 2 n, Integers] && a + b + 2 n <= 0)








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)





2001-10-29