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





http://functions.wolfram.com/07.22.03.a91z.01









  


  










Input Form





HypergeometricPFQ[{-(11/4)}, {1/2, 21/4}, -z] == (221 (Sqrt[Pi] (21070924875 + 12102274800 z + 5867769600 z^2 + 4470681600 z^3 + 23843635200 z^4 + 76299632640 z^5 + 11626610688 z^6 + 268435456 z^7) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 z^(1/4) ((-(-21070924875 + 10373378400 z + 1333221120 z^2 - 851558400 z^3 + 4149411840 z^4 + 710934528 z^5 + 16777216 z^6)) Cos[2 Sqrt[z]] + 4 Sqrt[z] (7023641625 + 823284000 z + 630685440 z^2 + 851558400 z^3 + 4639358976 z^4 + 723517440 z^5 + 16777216 z^6) Sin[2 Sqrt[z]])))/(10823317585920 z^(17/4))










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