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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=-7/4, b1`>=-11/2 > For fixed z and a1=-7/4, b1`=7/2





http://functions.wolfram.com/07.22.03.aa1z.01









  


  










Input Form





HypergeometricPFQ[{-(7/4)}, {7/2, 21/4}, -z] == (1/(3221225472 z^(17/4))) (Sqrt[Pi] (-366522975 - 902210400 z + 4009824000 z^2 - 3421716480 z^3 + 4562288640 z^4 + 748683264 z^5 + 16777216 z^6) FresnelC[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) ((366522975 + 511252560 z - 343042560 z^2 + 245145600 z^3 + 45809664 z^4 + 1048576 z^5) Cos[2 Sqrt[z]] - 4 Sqrt[z] (-122174325 + 321345360 z - 250790400 z^2 + 276799488 z^3 + 46596096 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