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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=-13/4, b1`>=-11/2 > For fixed z and a1=-13/4, b1`=-5/2





http://functions.wolfram.com/07.22.03.a8i0.01









  


  










Input Form





HypergeometricPFQ[{-(13/4)}, {-(5/2), 23/4}, z] == (209 (4 z^(1/4) (-306917176190625 - 409222901587500 Sqrt[z] - 237067060230000 z - 66658311720000 z^(3/2) - 5202345657600 z^2 + 291915187200 z^(5/2) - 450811146240 z^3 + 544052920320 z^(7/2) - 128012451840 z^4 + 404922040320 z^(9/2) - 19802357760 z^5 + 70451724288 z^(11/2) - 1996488704 z^6 + 7180648448 z^(13/2) - 268435456 z^7 + 1073741824 z^(15/2) + E^(4 Sqrt[z]) (306917176190625 - 409222901587500 Sqrt[z] + 237067060230000 z - 66658311720000 z^(3/2) + 5202345657600 z^2 + 291915187200 z^(5/2) + 450811146240 z^3 + 544052920320 z^(7/2) + 128012451840 z^4 + 404922040320 z^(9/2) + 19802357760 z^5 + 70451724288 z^(11/2) + 1996488704 z^6 + 7180648448 z^(13/2) + 268435456 z^7 + 1073741824 z^(15/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (306917176190625 - 90311261040000 z + 18390656793600 z^2 - 4003408281600 z^3 + 1569964032000 z^4 + 1545810739200 z^5 + 274810798080 z^6 + 27917287424 z^7 + 4294967296 z^8) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (306917176190625 - 90311261040000 z + 18390656793600 z^2 - 4003408281600 z^3 + 1569964032000 z^4 + 1545810739200 z^5 + 274810798080 z^6 + 27917287424 z^7 + 4294967296 z^8) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z])/(2111062325329920 z^(19/4))










Standard Form





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MathML Form







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





2007-05-02