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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`=1/2





http://functions.wolfram.com/07.22.03.a7pw.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {1/2, 19/4}, z] == (4 z^(1/4) (4656674397375 + 6208899196500 Sqrt[z] + 798907309200 z - 2719262145600 z^(3/2) + 520475155200 z^2 + 2858202547200 z^(5/2) - 4940103168000 z^3 + 34639749365760 z^(7/2) + 7544889999360 z^4 - 32974901084160 z^(9/2) - 1039521546240 z^5 + 4257239531520 z^(11/2) + 33973862400 z^6 - 136700755968 z^(13/2) - 268435456 z^7 + 1073741824 z^(15/2) + E^(4 Sqrt[z]) (-4656674397375 + 6208899196500 Sqrt[z] - 798907309200 z - 2719262145600 z^(3/2) - 520475155200 z^2 + 2858202547200 z^(5/2) + 4940103168000 z^3 + 34639749365760 z^(7/2) - 7544889999360 z^4 - 32974901084160 z^(9/2) + 1039521546240 z^5 + 4257239531520 z^(11/2) - 33973862400 z^6 - 136700755968 z^(13/2) + 268435456 z^7 + 1073741824 z^(15/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (-4656674397375 + 4168212048000 z - 3705077376000 z^2 + 7904165068800 z^3 + 158083301376000 z^4 - 134897750507520 z^5 + 17129873080320 z^6 - 547608330240 z^7 + 4294967296 z^8) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (-4656674397375 + 4168212048000 z - 3705077376000 z^2 + 7904165068800 z^3 + 158083301376000 z^4 - 134897750507520 z^5 + 17129873080320 z^6 - 547608330240 z^7 + 4294967296 z^8) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z])/(346346162749440 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