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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/07.22.03.8660.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(7/2), 19/4}, z] == -((11 (4 z^(1/4) (-21913886380010625 - 29218515173347500 Sqrt[z] - 13482650261808000 z - 167486338656000 z^(3/2) + 997474194662400 z^2 - 952811171020800 z^(5/2) + 300501984706560 z^3 - 816296016936960 z^(7/2) + 57462169927680 z^4 - 192924612034560 z^(9/2) + 7158292807680 z^5 - 25218118582272 z^(11/2) + 773698093056 z^6 - 2694555107328 z^(13/2) + 148176371712 z^7 - 605590388736 z^(15/2) - 4294967296 z^8 + 17179869184 z^(17/2) + E^(4 Sqrt[z]) (21913886380010625 - 29218515173347500 Sqrt[z] + 13482650261808000 z - 167486338656000 z^(3/2) - 997474194662400 z^2 - 952811171020800 z^(5/2) - 300501984706560 z^3 - 816296016936960 z^(7/2) - 57462169927680 z^4 - 192924612034560 z^(9/2) - 7158292807680 z^5 - 25218118582272 z^(11/2) - 773698093056 z^6 - 2694555107328 z^(13/2) - 148176371712 z^7 - 605590388736 z^(15/2) + 4294967296 z^8 + 17179869184 z^(17/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (21913886380010625 - 9892161876870000 z + 3617704914969600 z^2 - 2143825134796800 z^3 - 3026576660889600 z^4 - 745003485757440 z^5 - 98107454914560 z^6 - 10349797441536 z^7 - 2435246456832 z^8 + 68719476736 z^9) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (21913886380010625 - 9892161876870000 z + 3617704914969600 z^2 - 2143825134796800 z^3 - 3026576660889600 z^4 - 745003485757440 z^5 - 98107454914560 z^6 - 10349797441536 z^7 - 2435246456832 z^8 + 68719476736 z^9) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z])/ (199495389743677440 z^(15/4)))










Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2007-05-02