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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,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/07.23.13.0038.01









  


  










Input Form





z^2 (1 - d z^r) Derivative[2][w][z] + z ((1 - 2 s) (1 - d z^r) - r (1 - c + (a + b) d z^r)) Derivative[1][w][z] + ((-a) b d r^2 z^r + s^2 (1 - d z^r) + r s (1 - c + (a + b) d z^r)) w[z] == 0 /; w[z] == Subscript[c, 1] z^s Hypergeometric2F1Regularized[a, b, c, d z^r] + Subscript[c, 2] z^s MeijerG[{{1 - a, 1 - b}, {}}, {{0, 1 - c}, {}}, d z^r]










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