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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=-5/4, b1`>=-11/2 > For fixed z and a1=-5/4, b1`=3/2





http://functions.wolfram.com/07.22.03.aaf9.01









  


  








Input Form





HypergeometricPFQ[{-(5/4)}, {3/2, 19/4}, -z] == (1/(134217728 z^(15/4))) (11 (Sqrt[Pi] (1091475 + 882000 z + 806400 z^2 + 4300800 z^3 + 11468800 z^4 + 1048576 z^5) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (363825 + 127680 z + 161280 z^2 + 704512 z^3 + 65536 z^4) Cos[2 Sqrt[z]] + (-1091475 + 282240 z - 161280 z^2 + 655360 z^3 + 65536 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