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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=1/4, b1`>=-11/2 > For fixed z and a1=1/4, b1`=-9/2





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









  


  










Input Form





HypergeometricPFQ[{1/4}, {-(9/2), 21/4}, -z] == (1/(180388626432 z^(17/4))) (221 (21945 Sqrt[Pi] (394164225 + 55442880 z + 4769280 z^2 + 376832 z^3 + 65536 z^4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 z^(1/4) ((8649933917625 - 8009902177200 z + 1150117436160 z^2 - 35951185920 z^3 + 134217728 z^4) Cos[2 Sqrt[z]] - 8740 Sqrt[z] (-1319593275 + 417629520 z - 28608768 z^2 + 323584 z^3) 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