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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`=-5/2





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









  


  










Input Form





HypergeometricPFQ[{1/4}, {-(5/2), 21/4}, -z] == (1/(2147483648 z^(17/4))) (663 (77 Sqrt[Pi] (103536225 + 18878400 z + 2188800 z^2 + 245760 z^3 + 65536 z^4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 z^(1/4) ((7972289325 - 7050138480 z + 777680640 z^2 - 8704000 z^3) Cos[2 Sqrt[z]] + 4 Sqrt[z] (2657429775 - 730279440 z + 31008000 z^2 + 315392 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