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variants of this functions
Hypergeometric0F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric0F1Regularized[b,z] > Series representations > Asymptotic series expansions > Expansions for any z in exponential form





http://functions.wolfram.com/07.18.06.0011.01









  


  








Input Form





Hypergeometric0F1Regularized[b, z] \[Proportional] (1/(2 Sqrt[Pi])) ((I Sqrt[-z])^(1/2 - b) E^(2 I Sqrt[-z]) HypergeometricPFQ[{-(1/2) + b, 3/2 - b}, {}, 1/(4 I Sqrt[-z])] + (((-I) Sqrt[-z])^(1/2 - b) HypergeometricPFQ[{-(1/2) + b, 3/2 - b}, {}, -(1/(4 I Sqrt[-z]))])/E^(2 I Sqrt[-z])) /; (Abs[z] -> Infinity)








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