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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`=5/2





http://functions.wolfram.com/07.22.03.8367.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {5/2, 13/4}, -z] == (Sqrt[Pi] (1146348769190625 - 29346528491280000 z + 328681119102336000 z^2 + 389547993010176000 z^3 + 85614943518720000 z^4 + 5860274208768000 z^5 + 148832360857600 z^6 + 1432371593216 z^7 + 4294967296 z^8) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 z^(1/4) ((-(-1146348769190625 + 9229819254994800 z + 20418950270073600 z^2 + 5039083672842240 z^3 + 357868102287360 z^4 + 9219085434880 z^5 + 89271566336 z^6 + 268435456 z^7)) Cos[2 Sqrt[z]] + 4 Sqrt[z] (-2285318900697525 + 17479618020572400 z + 23472670475923200 z^2 + 5285855271137280 z^3 + 364559046082560 z^4 + 9285347049472 z^5 + 89472892928 z^6 + 268435456 z^7) Sin[2 Sqrt[z]]))/ (379348825669632000 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