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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=7/2





http://functions.wolfram.com/07.22.03.a7tw.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {7/2, 19/4}, z] == (4 z^(1/4) (-93921540537825 - 125228720717100 Sqrt[z] - 16383028137840 z - 618250984303680 z^(3/2) + 18315111709440 z^2 - 839109884820480 z^(5/2) - 436897591603200 z^3 + 1960063687507968 z^(7/2) + 82569691201536 z^4 - 341591126704128 z^(9/2) - 3972648665088 z^5 + 16071889256448 z^(11/2) + 61354278912 z^6 - 246222422016 z^(13/2) - 268435456 z^7 + 1073741824 z^(15/2) + E^(4 Sqrt[z]) (93921540537825 - 125228720717100 Sqrt[z] + 16383028137840 z - 618250984303680 z^(3/2) - 18315111709440 z^2 - 839109884820480 z^(5/2) + 436897591603200 z^3 + 1960063687507968 z^(7/2) - 82569691201536 z^4 - 341591126704128 z^(9/2) + 3972648665088 z^5 + 16071889256448 z^(11/2) - 61354278912 z^6 - 246222422016 z^(13/2) + 268435456 z^7 + 1073741824 z^(15/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (93921540537825 - 1092905198985600 z - 2914413863961600 z^2 - 4441011602227200 z^3 + 8074566549504000 z^4 - 1378059357782016 z^5 + 64470613229568 z^6 - 985694994432 z^7 + 4294967296 z^8) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (93921540537825 - 1092905198985600 z - 2914413863961600 z^2 - 4441011602227200 z^3 + 8074566549504000 z^4 - 1378059357782016 z^5 + 64470613229568 z^6 - 985694994432 z^7 + 4294967296 z^8) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z])/(34054486452338688 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