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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself > Representation of fundamental system solutions near zero





http://functions.wolfram.com/07.27.13.0010.01









  


  










Input Form





Wronskian[h[z] HypergeometricPFQRegularized[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {Subscript[b, 1], Subscript[b, 2]}, g[z]], h[z] (MeijerG[{{1 - Subscript[a, 1], 1 - Subscript[a, 2], 1 - Subscript[a, 3]}, {}}, {{0, 1 - Subscript[b, 1]}, {1 - Subscript[b, 2]}}, g[z]] + MeijerG[{{1 - Subscript[a, 1], 1 - Subscript[a, 2], 1 - Subscript[a, 3]}, {}}, {{0, 1 - Subscript[b, 2]}, {1 - Subscript[b, 1]}}, g[z]]), h[z] MeijerG[{{1 - Subscript[a, 1], 1 - Subscript[a, 2], 1 - Subscript[a, 3]}, {}}, {{0, 1 - Subscript[b, 1], 1 - Subscript[b, 2]}, {}}, -g[z]], z] == (1 - g[z])^(-2 - Subscript[a, 1] - Subscript[a, 2] - Subscript[a, 3] + Subscript[b, 1] + Subscript[b, 2]) (-g[z])^(-Subscript[b, 1] - Subscript[b, 2]) g[z]^(-1 - Subscript[b, 1] - Subscript[b, 2]) ((-g[z])^Subscript[b, 2] g[z]^Subscript[b, 1] + (-g[z])^Subscript[b, 1] g[z]^Subscript[b, 2]) Gamma[1 + Subscript[a, 1] - Subscript[b, 1]] Gamma[1 + Subscript[a, 2] - Subscript[b, 1]] Gamma[1 + Subscript[a, 3] - Subscript[b, 1]] Gamma[1 + Subscript[a, 1] - Subscript[b, 2]] Gamma[1 + Subscript[a, 2] - Subscript[b, 2]] Gamma[1 + Subscript[a, 3] - Subscript[b, 2]] h[z]^3 Derivative[1][g][z]^3










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