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variants of this functions
JacobiP






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/05.06.13.0007.01









  


  










Input Form





h[z]^2 Derivative[2][w][z] + (h[z] (((a - b + (2 + a + b) g[z]) h[z] Derivative[1][g][z])/ (-1 + g[z]^2) - 2 Derivative[1][h][z]) - (h[z]^2 Derivative[2][g][z])/ Derivative[1][g][z]) Derivative[1][w][z] - ((1/(-1 + g[z]^2)) h[z] Derivative[1][g][z] (n (1 + a + b + n) h[z] Derivative[1][g][z] + (a - b + (2 + a + b) g[z]) Derivative[1][h][z]) - 2 Derivative[1][h][z]^2 - (h[z] Derivative[1][h][z] Derivative[2][g][z])/ Derivative[1][g][z] + h[z] Derivative[2][h][z]) w[z] == 0 /; w[z] == Subscript[c, 1] h[z] JacobiP[n, a, b, g[z]] + Subscript[c, 2] h[z] MeijerG[{{1 + n, -a - b - n}, {}}, {{0, -a}, {}}, (1 - g[z])/2]










Standard Form





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MathML Form







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</apply> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02





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