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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 unit





http://functions.wolfram.com/07.23.13.0044.01









  


  








Input Form





z (1 - z) Derivative[2][w][z] + (c - (a + b + 1) z) Derivative[1][w][z] - a b w[z] == 0 /; w[z] == Subscript[c, 1] (1 - z)^(c - a - b) Hypergeometric2F1Regularized[ c - a, c - b, 1 - a - b + c, 1 - z] + Subscript[c, 2] Hypergeometric2F1Regularized[a, b, a + b - c + 1, 1 - z] && !Element[c - a - 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