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variants of this functions
JacobiP




Mathematica Notation

Traditional Notation









Hypergeometric Functions > JacobiP[nu,a,b,z] > Specific values > Specialized values > For fixed a,b,z





http://functions.wolfram.com/07.15.03.0018.01









  


  








Input Form





JacobiP[4, a, b, z] == (1/384) (144 + a^4 + 42 b - 37 b^2 - 6 b^3 + b^4 - 2 a^3 (3 + 2 b) + a^2 (-37 + 6 b + 6 b^2) + 2 a (21 + 43 b + 3 b^2 - 2 b^3) + (4 (5 + a + b) (a^3 - 3 a^2 (1 + b) + b (22 + 3 b - b^2) + a (-22 + 3 b^2))) z + 6 (5 + a + b) (6 + a + b) (-8 + a^2 - b + b^2 - a (1 + 2 b)) z^2 + 4 (a - b) (5 + a + b) (6 + a + b) (7 + a + b) z^3 + (5 + a + b) (6 + a + b) (7 + a + b) (8 + a + b) z^4)








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