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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/07.22.03.8700.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(5/2), 11/4}, z] == (1/(5073430118400 z^(7/4))) ((4 z^(1/4) (130848702075 + 174464936100 Sqrt[z] - 147782063520 z + 330795480960 z^(3/2) - 63706003200 z^2 + 175714237440 z^(5/2) - 20215480320 z^3 + 62026481664 z^(7/2) - 9368174592 z^4 + 40489451520 z^(9/2) + 1063256064 z^5 - 4303355904 z^(11/2) - 16777216 z^6 + 67108864 z^(13/2) + E^(4 Sqrt[z]) (-130848702075 + 174464936100 Sqrt[z] + 147782063520 z + 330795480960 z^(3/2) + 63706003200 z^2 + 175714237440 z^(5/2) + 20215480320 z^3 + 62026481664 z^(7/2) + 9368174592 z^4 + 40489451520 z^(9/2) - 1063256064 z^5 - 4303355904 z^(11/2) + 16777216 z^6 + 67108864 z^(13/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (-130848702075 + 287354012400 z + 1060999430400 z^2 + 628740403200 z^3 + 223552143360 z^4 + 165084659712 z^5 - 17263755264 z^6 + 268435456 z^7) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (-130848702075 + 287354012400 z + 1060999430400 z^2 + 628740403200 z^3 + 223552143360 z^4 + 165084659712 z^5 - 17263755264 z^6 + 268435456 z^7) Erfi[Sqrt[2] z^(1/4)])/E^(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