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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] > Specific values > Specialized values > Case 0F3





http://functions.wolfram.com/07.31.03.0157.01









  


  








Input Form





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





2007-05-02