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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=7/2





http://functions.wolfram.com/07.22.03.a7u1.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {7/2, 23/4}, -z] == (Sqrt[Pi] (7044115540336875 + 13524701837446800 z + 78689174326963200 z^2 - 139891865470156800 z^3 + 159876417680179200 z^4 + 232547516625715200 z^5 + 33073424586768384 z^6 + 1326252615008256 z^7 + 17742509899776 z^8 + 68719476736 z^9) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (2348038513445625 + 3434844911097600 z - 7949073172884480 z^2 + 7936192335052800 z^3 + 14177957382586368 z^4 + 2051990938976256 z^5 + 82684630007808 z^6 + 1108101562368 z^7 + 4294967296 z^8) Cos[2 Sqrt[z]] + (-7044115540336875 - 6010978594420800 z - 1588336838000640 z^2 + 1788938388357120 z^3 + 12867980732006400 z^4 + 1993330648940544 z^5 + 81867042717696 z^6 + 1104880336896 z^7 + 4294967296 z^8) Sin[2 Sqrt[z]]))/(258097160480882688 z^(19/4))










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