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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`=7/2





http://functions.wolfram.com/07.22.03.8403.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {7/2, 1/4}, -z] == (1/(639566928000 z^(5/2))) (Sqrt[Pi] z^(13/4) (4311055200375 + 2898188370000 z + 401480640000 z^2 + 17129840640 z^3 + 248709120 z^4 + 1048576 z^5) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 ((-Sqrt[z]) (-12265060500 - 21804552000 z + 164244326400 z^2 + 161086214025 z^3 + 24144056640 z^4 + 1056284160 z^5 + 15482880 z^6 + 65536 z^7) Cos[2 Sqrt[z]] + 2 (-3066265125 - 1362784500 z - 30526372800 z^2 + 486984960000 z^3 + 353667238650 z^4 + 49796017920 z^5 + 2135454720 z^6 + 31064064 z^7 + 131072 z^8) 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