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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`=9/2





http://functions.wolfram.com/07.22.03.aaj9.01









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {9/2, 19/4}, -z] == (1/(318767104 z^(15/4))) (7 (Sqrt[Pi] (-76039425 + 184338000 z - 120384000 z^2 + 58368000 z^3 + 31129600 z^4 + 1048576 z^5) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (11517525 - 7576320 z + 3310080 z^2 + 1933312 z^3 + 65536 z^4) Cos[2 Sqrt[z]] + (2311425 - 5924160 z + 2065920 z^2 + 1884160 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