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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/07.22.03.8227.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(1/2), 17/4}, -z] == ((-Sqrt[Pi]) (-2348038513445625 - 2504574414342000 z - 2914413863961600 z^2 - 15543540607795200 z^3 + 41449441620787200 z^4 + 94741580847513600 z^5 + 18374124770426880 z^6 + 933288877228032 z^7 + 15113989914624 z^8 + 68719476736 z^9) FresnelC[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) ((-(2348038513445625 + 878950212940800 z^2 - 205590412984320 z^3 + 5031155043532800 z^4 + 1097043195985920 z^5 + 57460823949312 z^6 + 940597837824 z^7 + 4294967296 z^8)) Cos[2 Sqrt[z]] + 4 Sqrt[z] (-782679504481875 - 477061793208000 z - 647647525324800 z^2 + 1829855274024960 z^3 + 5727687205847040 z^4 + 1137822362763264 z^5 + 58155199365120 z^6 + 943819063296 z^7 + 4294967296 z^8) Sin[2 Sqrt[z]]))/(26495481450332160 z^(13/4))










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