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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=19/4, b1`>=-11/2 > For fixed z and a1=19/4, b1`=1/2





http://functions.wolfram.com/07.22.03.afpz.01









  


  








Input Form





HypergeometricPFQ[{19/4}, {1/2, 23/4}, -z] == (1/(524288 z^(19/4))) (19 (-34459425 Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (68 Sqrt[z] (-675675 + 308880 z - 49920 z^2 + 4096 z^3) Cos[2 Sqrt[z]] + (34459425 - 36756720 z + 9335040 z^2 - 1044480 z^3 + 65536 z^4) Sin[2 Sqrt[z]])))








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