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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Integral transforms > Laplace transforms





http://functions.wolfram.com/07.24.22.0001.01









  


  








Input Form





LaplaceTransform[Hypergeometric2F1Regularized[a, b, c, -t], t, z] == (Pi/Sin[Pi (b - a)]) ((Gamma[1 - a]/(Gamma[b] Gamma[-a + c])) z^(a - 1) Hypergeometric1F1Regularized[1 + a - c, 1 + a - b, z] - (Gamma[1 - b]/(Gamma[a] Gamma[-b + c])) z^(b - 1) Hypergeometric1F1Regularized[1 + b - c, 1 - a + b, z]) + ((Gamma[1 - a] Gamma[1 - b])/Gamma[-1 + c]) HypergeometricPFQRegularized[ {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