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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/07.32.03.0155.01









  


  








Input Form





HypergeometricPFQRegularized[{}, {1/2, b, 1/2 + b}, z] == (1/Pi) ((-1)^(1/4) z^(1/4))^(1 - 2 b) (Cos[(3/4) (-1 + 2 b) Pi] KelvinBer[-1 + 2 b, 4 (-1)^(1/4) z^(1/4)] + Sin[(3/4) (-1 + 2 b) Pi] KelvinBei[-1 + 2 b, 4 (-1)^(1/4) 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)





2007-05-02