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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`=5/2





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









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {5/2, 23/4}, -z] == (1/(8589934592 z^(19/4))) (19 (Sqrt[Pi] (-180093375 - 128066400 z - 93139200 z^2 - 283852800 z^3 + 378470400 z^4 + 346030080 z^5 + 16777216 z^6) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (-60031125 - 15246000 z - 15966720 z^2 + 20029440 z^3 + 21430272 z^4 + 1048576 z^5) Cos[2 Sqrt[z]] + (180093375 - 64033200 z + 5322240 z^2 + 7249920 z^3 + 20643840 z^4 + 1048576 z^5) 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