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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Transformations > Products, sums, and powers of the direct function > Products of the direct function





http://functions.wolfram.com/07.24.16.0008.01









  


  








Input Form





Hypergeometric2F1Regularized[a, b, c, g z] Hypergeometric2F1Regularized[ \[Alpha], \[Beta], \[Gamma], h z] == Sum[((Pochhammer[a, m] Pochhammer[b, m] g^m)/(Gamma[c + m] m!)) ((Pochhammer[\[Alpha], k - m] Pochhammer[\[Beta], k - m] h^(k - m))/ (Gamma[\[Gamma] + k - m] (k - m)!)) z^k, {k, 0, Infinity}, {m, 0, k}]








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)





2001-10-29