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variants of this functions
Hypergeometric0F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric0F1[b,z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/07.17.13.0009.01









  


  










Input Form





h[z]^2 Derivative[2][w][z] + ((b Derivative[1][g][z])/g[z] - (2 Derivative[1][h][z])/h[z] - Derivative[2][g][z]/Derivative[1][g][z]) h[z]^2 Derivative[1][w][z] + (2 Derivative[1][h][z]^2 - (h[z] Derivative[1][g][z] (h[z] Derivative[1][g][z] + b Derivative[1][h][z]))/g[z] + (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] Hypergeometric0F1[b, g[z]] + Subscript[c, 2] h[z] g[z]^(1 - b) Hypergeometric0F1[2 - b, g[z]] && !Element[b, Integers]










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





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