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variants of this functions
Hypergeometric0F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric0F1[b,z] > Integration > Definite integration > Involving the direct function





http://functions.wolfram.com/07.17.21.0008.01









  


  








Input Form





Integrate[(t^(\[Alpha] - 1) Hypergeometric0F1[b, t])/E^(a t), {t, 0, Infinity}] == (Gamma[\[Alpha]] Hypergeometric1F1[\[Alpha], b, 1/a])/ a^\[Alpha] /; Re[a] > 0 && Re[\[Alpha]] > 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