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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==0 > For the function itself





http://functions.wolfram.com/05.06.06.0001.01









  


  








Input Form





JacobiP[n, a, b, z] \[Proportional] (HypergeometricPFQ[{-n, -b - n}, {1 + a}, -1] + ((n (1 + a + b + n))/(1 + a)) HypergeometricPFQ[{1 - n, -b - n}, {2 + a}, -1] z + (((n - 1) n (1 + a + b + n) (2 + a + b + n))/ (2 (1 + a) (2 + a))) HypergeometricPFQ[{2 - n, -b - n}, {3 + a}, -1] z^2 + \[Ellipsis])/2^n /; (z -> 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