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variants of this functions
HypergeometricPFQRegularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] > Specific values > Specialized values > Case 0F~3





http://functions.wolfram.com/07.32.03.0113.01









  


  








Input Form





HypergeometricPFQRegularized[{}, {1, 1, 3/2}, z] == ((1 - I)/(4 Sqrt[Pi] Sqrt[z])) (z^(1/4) (BesselI[0, (2 + 2 I) z^(1/4)] + BesselI[2, (2 + 2 I) z^(1/4)]) BesselJ[1, (2 + 2 I) z^(1/4)] + BesselI[1, (2 + 2 I) z^(1/4)] (z^(1/4) BesselJ[0, (2 + 2 I) z^(1/4)] + (1 - I) BesselJ[1, (2 + 2 I) z^(1/4)] - z^(1/4) BesselJ[2, (2 + 2 I) z^(1/4)]))








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)





2001-10-29