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variants of this functions
Hypergeometric1F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1[a,b,z] > Representations through more general functions > Through Meijer G > Classical cases for the direct function itself





http://functions.wolfram.com/07.20.26.0035.01









  


  










Input Form





Hypergeometric1F1[a, b, Sqrt[z]] + Hypergeometric1F1[a, b, -Sqrt[z]] == ((2^(1 + a - b) Pi^(3/2) Gamma[b])/Gamma[a]) MeijerG[{{(1 - a)/2, 1 - a/2}, {1/2}}, {{0}, {1/2, (1 - b)/2, 1 - b/2, 1/2}}, z/4]










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)





2003-08-21