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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.8801.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(1/2), 15/4}, -z] == ((-Sqrt[Pi]) (8890014758625 + 12504636144000 z + 25935541632000 z^2 - 165987466444800 z^3 + 663949865779200 z^4 + 314761417850880 z^5 + 27671333437440 z^6 + 676457349120 z^7 + 4294967296 z^8) FresnelS[(2 z^(1/4))/Sqrt[Pi]] - 2 z^(1/4) (4 Sqrt[z] (2963338252875 + 2813543132400 z - 13335071904000 z^2 + 38418610728960 z^3 + 19364974755840 z^4 + 1721641205760 z^5 + 42228252672 z^6 + 268435456 z^7) Cos[2 Sqrt[z]] + (-8890014758625 - 3021953734800 z - 15005563372800 z^2 + 28184241254400 z^3 + 18198432645120 z^4 + 1690813071360 z^5 + 42026926080 z^6 + 268435456 z^7) Sin[2 Sqrt[z]]))/ (162349763788800 z^(11/4))










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