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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`=-5/2





http://functions.wolfram.com/07.22.03.8701.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(5/2), 11/4}, -z] == (1/(1268357529600 z^(7/4))) ((-Sqrt[Pi]) (130848702075 + 287354012400 z - 1060999430400 z^2 + 628740403200 z^3 - 223552143360 z^4 + 165084659712 z^5 + 17263755264 z^6 + 268435456 z^7) FresnelS[(2 z^(1/4))/Sqrt[Pi]] - 2 z^(1/4) (4 Sqrt[z] (43616234025 - 82698870240 z + 43928559360 z^2 - 15506620416 z^3 + 10122362880 z^4 + 1075838976 z^5 + 16777216 z^6) Cos[2 Sqrt[z]] + (-130848702075 - 147782063520 z + 63706003200 z^2 - 20215480320 z^3 + 9368174592 z^4 + 1063256064 z^5 + 16777216 z^6) 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