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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=-3/2





http://functions.wolfram.com/07.22.03.8737.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(3/2), -(1/4)}, -z] == (1/532224) ((-Sqrt[Pi]) z^(5/4) (-9648639 + 68612544 z + 42223104 z^2 + 3784704 z^3 + 65536 z^4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] - 2 (4 (-66528 - 798336 z + 3880107 z^2 + 2596272 z^3 + 235776 z^4 + 4096 z^5) Cos[2 Sqrt[z]] + Sqrt[z] (-532224 + 2552319 z + 2432304 z^2 + 232704 z^3 + 4096 z^4) 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