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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`=-3/2





http://functions.wolfram.com/07.22.03.9912.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {-(3/2), 23/4}, z] == (209 (4 z^(1/4) (-3778256272415625 - 5037675029887500 Sqrt[z] - 2579289615302400 z - 368469945043200 z^(3/2) + 122078931287040 z^2 - 23820279275520 z^(5/2) - 24143631482880 z^3 + 35517417062400 z^(7/2) - 15192421171200 z^4 + 39461872730112 z^(9/2) - 5387348606976 z^5 + 16390350176256 z^(11/2) - 2549398634496 z^6 + 11003706212352 z^(13/2) + 283467841536 z^7 - 1146756268032 z^(15/2) - 4294967296 z^8 + 17179869184 z^(17/2) + E^(4 Sqrt[z]) (3778256272415625 - 5037675029887500 Sqrt[z] + 2579289615302400 z - 368469945043200 z^(3/2) - 122078931287040 z^2 - 23820279275520 z^(5/2) + 24143631482880 z^3 + 35517417062400 z^(7/2) + 15192421171200 z^4 + 39461872730112 z^(9/2) + 5387348606976 z^5 + 16390350176256 z^(11/2) + 2549398634496 z^6 + 11003706212352 z^(13/2) - 283467841536 z^7 - 1146756268032 z^(15/2) + 4294967296 z^8 + 17179869184 z^(17/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (3778256272415625 - 1450850408607600 z + 401967212774400 z^2 - 126107360870400 z^3 + 77604529766400 z^4 + 137963608473600 z^5 + 58864472948736 z^6 + 44849122246656 z^7 - 4599909974016 z^8 + 68719476736 z^9) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (3778256272415625 - 1450850408607600 z + 401967212774400 z^2 - 126107360870400 z^3 + 77604529766400 z^4 + 137963608473600 z^5 + 58864472948736 z^6 + 44849122246656 z^7 - 4599909974016 z^8 + 68719476736 z^9) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z])/ (159596311794941952 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