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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`=-7/2





http://functions.wolfram.com/07.22.03.8653.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(7/2), 11/4}, -z] == (1/(2536715059200 z^(7/4))) (Sqrt[Pi] (-392546106225 - 697859744400 z + 1970427513600 z^2 - 808380518400 z^3 + 159680102400 z^4 - 23583522816 z^5 + 7398752256 z^6 + 268435456 z^7) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (-130848702075 + 144286017120 z - 53654227200 z^2 + 10403463168 z^3 - 1553793024 z^4 + 459276288 z^5 + 16777216 z^6) Cos[2 Sqrt[z]] + (392546106225 + 279143897760 z - 71755649280 z^2 + 12515328000 z^3 - 1845559296 z^4 + 446693376 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