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variants of this functions
JacobiP




Mathematica Notation

Traditional Notation









Hypergeometric Functions > JacobiP[nu,a,b,z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/07.15.13.0009.01









  


  








Input Form





z^2 Derivative[2][w][z] + z (1 - r - 2 s + (d r z^r (a - b + (2 + a + b) d z^r))/(-1 + d^2 z^(2 r))) Derivative[1][w][z] + (1/(-1 + d^2 z^(2 r))) ((-s) (r + s) - (a - b) d r s z^r - d^2 z^(2 r) (s + r \[Nu]) (-s + r (1 + a + b + \[Nu]))) w[z] == 0 /; w[z] == Subscript[c, 1] z^s JacobiP[\[Nu], a, b, d z^r] + Subscript[c, 2] z^s MeijerG[{{1 + \[Nu], -a - b - \[Nu]}, {}}, {{0, -a}, {}}, (1 - d z^r)/2]








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)





2007-05-02