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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.8223.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(1/2), 13/4}, -z] == ((-Sqrt[Pi]) (-17392877877375 - 40477970332800 z - 323823762662400 z^2 + 1151373378355200 z^3 + 3289638223872000 z^4 + 765588532101120 z^5 + 45368209309696 z^6 + 839666106368 z^7 + 4294967296 z^8) FresnelC[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) ((-(17392877877375 + 21925567263600 z - 13635165922560 z^2 + 169620473917440 z^3 + 45375855329280 z^4 + 2787304800256 z^5 + 52227473408 z^6 + 268435456 z^7)) Cos[2 Sqrt[z]] + 4 Sqrt[z] (-5797625959125 - 10842313482000 z + 47295553294080 z^2 + 197668770754560 z^3 + 47338467950592 z^4 + 2825783345152 z^5 + 52428800000 z^6 + 268435456 z^7) Sin[2 Sqrt[z]]))/ (597988296622080 z^(9/4))










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