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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`=-11/2





http://functions.wolfram.com/07.22.03.8564.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(11/2), 19/4}, z] == (4 z^(1/4) (8918951756664324375 + 11891935675552432500 Sqrt[z] + 6357948901720416000 z + 1228847266719072000 z^(3/2) - 75554948327040000 z^2 + 120887917323264000 z^(5/2) - 27118471790592000 z^3 + 93146189157826560 z^(7/2) - 3700756003553280 z^4 + 13918858916659200 z^(9/2) - 249311526912000 z^5 + 964284666347520 z^(11/2) - 9956606607360 z^6 + 39009040465920 z^(13/2) - 257698037760 z^7 + 1017907249152 z^(15/2) - 4294967296 z^8 + 17179869184 z^(17/2) + E^(4 Sqrt[z]) (-8918951756664324375 + 11891935675552432500 Sqrt[z] - 6357948901720416000 z + 1228847266719072000 z^(3/2) + 75554948327040000 z^2 + 120887917323264000 z^(5/2) + 27118471790592000 z^3 + 93146189157826560 z^(7/2) + 3700756003553280 z^4 + 13918858916659200 z^(9/2) + 249311526912000 z^5 + 964284666347520 z^(11/2) + 9956606607360 z^6 + 39009040465920 z^(13/2) + 257698037760 z^7 + 1017907249152 z^(15/2) + 4294967296 z^8 + 17179869184 z^(17/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (-8918951756664324375 + 3155599638721530000 z - 874278687784320000 z^2 + 375169398589440000 z^3 + 360162622645862400 z^4 + 54881923450798080 z^5 + 3826190741667840 z^6 + 155246961623040 z^7 + 4058744094720 z^8 + 68719476736 z^9) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (-8918951756664324375 + 3155599638721530000 z - 874278687784320000 z^2 + 375169398589440000 z^3 + 360162622645862400 z^4 + 54881923450798080 z^5 + 3826190741667840 z^6 + 155246961623040 z^7 + 4058744094720 z^8 + 68719476736 z^9) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z])/(2393944676924129280 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