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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=4, b1>=-23/4 > For fixed z and a1=4, b1=-7/4





http://functions.wolfram.com/07.22.03.7250.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(7/4), 23/4}, z] == (1/(2097152 z^(19/4))) ((1045 (16 E^(2 Sqrt[z]) z^(3/4) (52026975 + 13264020 z + 1421280 z^2 + 69440 z^3 + 1024 z^4) + E^(4 Sqrt[z]) Sqrt[2 Pi] (156080925 - 312161850 Sqrt[z] + 307359360 z - 198502920 z^(3/2) + 94409280 z^2 - 35138880 z^(5/2) + 10590720 z^3 - 2626176 z^(7/2) + 532992 z^4 - 83968 z^(9/2) + 8192 z^5) Erf[Sqrt[2] z^(1/4)] - Sqrt[2 Pi] (156080925 + 312161850 Sqrt[z] + 307359360 z + 198502920 z^(3/2) + 94409280 z^2 + 35138880 z^(5/2) + 10590720 z^3 + 2626176 z^(7/2) + 532992 z^4 + 83968 z^(9/2) + 8192 z^5) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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Rule Form





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





2007-05-02