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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.8022.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(9/2), 5/4}, z] == (1/(713451110400 z^(1/4))) ((4 z^(1/4) (-10506297375 + 45445862700 Sqrt[z] - 4702607280 z + 16612827840 z^(3/2) - 779097600 z^2 + 2883778560 z^(5/2) - 85155840 z^3 + 327254016 z^(7/2) - 8060928 z^4 + 35389440 z^(9/2) + 1048576 z^5 - 4194304 z^(11/2) + E^(4 Sqrt[z]) (-10506297375 - 45445862700 Sqrt[z] - 4702607280 z - 16612827840 z^(3/2) - 779097600 z^2 - 2883778560 z^(5/2) - 85155840 z^3 - 327254016 z^(7/2) - 8060928 z^4 - 35389440 z^(9/2) + 1048576 z^5 + 4194304 z^(11/2))) - E^(2 Sqrt[z]) Sqrt[2 Pi] (-99687686175 - 167895050400 z - 63960019200 z^2 - 11276697600 z^3 - 1288765440 z^4 - 144703488 z^5 + 16777216 z^6) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (-99687686175 - 167895050400 z - 63960019200 z^2 - 11276697600 z^3 - 1288765440 z^4 - 144703488 z^5 + 16777216 z^6) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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





2007-05-02