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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`=-1/2





http://functions.wolfram.com/07.22.03.8800.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(1/2), 15/4}, z] == (4 z^(1/4) (-8890014758625 - 11853353011500 Sqrt[z] + 3021953734800 z + 11254172529600 z^(3/2) - 15005563372800 z^2 + 53340287616000 z^(5/2) - 28184241254400 z^3 + 153674442915840 z^(7/2) + 18198432645120 z^4 - 77459899023360 z^(9/2) - 1690813071360 z^5 + 6886564823040 z^(11/2) + 42026926080 z^6 - 168913010688 z^(13/2) - 268435456 z^7 + 1073741824 z^(15/2) + E^(4 Sqrt[z]) (8890014758625 - 11853353011500 Sqrt[z] - 3021953734800 z + 11254172529600 z^(3/2) + 15005563372800 z^2 + 53340287616000 z^(5/2) + 28184241254400 z^3 + 153674442915840 z^(7/2) - 18198432645120 z^4 - 77459899023360 z^(9/2) + 1690813071360 z^5 + 6886564823040 z^(11/2) - 42026926080 z^6 - 168913010688 z^(13/2) + 268435456 z^7 + 1073741824 z^(15/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (8890014758625 - 12504636144000 z + 25935541632000 z^2 + 165987466444800 z^3 + 663949865779200 z^4 - 314761417850880 z^5 + 27671333437440 z^6 - 676457349120 z^7 + 4294967296 z^8) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (8890014758625 - 12504636144000 z + 25935541632000 z^2 + 165987466444800 z^3 + 663949865779200 z^4 - 314761417850880 z^5 + 27671333437440 z^6 - 676457349120 z^7 + 4294967296 z^8) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z])/(649399055155200 z^(11/4))










Standard Form





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MathML Form







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





2007-05-02