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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=-13/4, b1`>=-11/2 > For fixed z and a1=-13/4, b1`=1/2





http://functions.wolfram.com/07.22.03.a8lw.01









  


  










Input Form





HypergeometricPFQ[{-(13/4)}, {1/2, 19/4}, z] == (1/(721554505728 z^(15/4))) ((-4 z^(1/4) (-18261468225 - 24348624300 Sqrt[z] - 5176211040 z + 7939451520 z^(3/2) - 588107520 z^2 - 7610803200 z^(5/2) + 11070259200 z^3 - 69744525312 z^(7/2) - 11476598784 z^4 + 48835067904 z^(9/2) + 1033895936 z^5 - 4185915392 z^(11/2) - 16777216 z^6 + 67108864 z^(13/2) + E^(4 Sqrt[z]) (18261468225 - 24348624300 Sqrt[z] + 5176211040 z + 7939451520 z^(3/2) + 588107520 z^2 - 7610803200 z^(5/2) - 11070259200 z^3 - 69744525312 z^(7/2) + 11476598784 z^4 + 48835067904 z^(9/2) - 1033895936 z^5 - 4185915392 z^(11/2) + 16777216 z^6 + 67108864 z^(13/2))) - E^(2 Sqrt[z]) Sqrt[2 Pi] (18261468225 - 14302688400 z + 10897286400 z^2 - 19372953600 z^3 - 309967257600 z^4 + 198379044864 z^5 - 16793993216 z^6 + 268435456 z^7) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] (18261468225 - 14302688400 z + 10897286400 z^2 - 19372953600 z^3 - 309967257600 z^4 + 198379044864 z^5 - 16793993216 z^6 + 268435456 z^7) 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