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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Integral transforms > Laplace transforms





http://functions.wolfram.com/07.23.22.0001.01









  


  










Input Form





LaplaceTransform[Hypergeometric2F1[a, b, c, -t], t, z] == ((Gamma[1 - a] Gamma[-a + b] Gamma[c])/(Gamma[b] Gamma[-a + c])) z^(a - 1) Hypergeometric1F1[1 + a - c, 1 + a - b, z] + ((Gamma[1 - b] Gamma[a - b] Gamma[c])/(Gamma[a] Gamma[-b + c])) z^(b - 1) Hypergeometric1F1[1 + b - c, 1 - a + b, z] + ((c - 1)/((a - 1) (b - 1))) HypergeometricPFQ[{1, 2 - c}, {2 - a, 2 - b}, z] /; Re[z] > 0










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





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