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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=1/4, b1`>=-11/2 > For fixed z and a1=1/4, b1`=-11/2





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









  


  










Input Form





HypergeometricPFQ[{1/4}, {-(11/2), 21/4}, -z] == (221 (504735 Sqrt[Pi] (668365425 + 84369600 z + 6428160 z^2 + 442368 z^3 + 65536 z^4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 z^(1/4) (9 (37483046976375 - 35250328990800 z + 5467612550400 z^2 - 214069309440 z^3 + 1744830464 z^4) Cos[2 Sqrt[z]] + 4 Sqrt[z] (112449140929125 - 37210558215600 z + 2900401862400 z^2 - 52919930880 z^3 + 134217728 z^4) Sin[2 Sqrt[z]])))/ (3968549781504 z^(17/4))










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