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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/07.15.13.0011.01









  


  










Input Form





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