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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=-9/4, b1`>=-11/2 > For fixed z and a1=-9/4, b1`=-3/2





http://functions.wolfram.com/07.22.03.a9fc.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {-(3/2), 23/4}, z] == (209 (4 z^(1/4) (-814103915625 - 1085471887500 Sqrt[z] - 625231807200 z - 172021449600 z^(3/2) - 11708686080 z^2 + 641571840 z^(5/2) - 1377976320 z^3 + 1672151040 z^(7/2) - 433520640 z^4 + 1315700736 z^(9/2) - 81788928 z^5 + 276824064 z^(11/2) - 16777216 z^6 + 67108864 z^(13/2) + E^(4 Sqrt[z]) (814103915625 - 1085471887500 Sqrt[z] + 625231807200 z - 172021449600 z^(3/2) + 11708686080 z^2 + 641571840 z^(5/2) + 1377976320 z^3 + 1672151040 z^(7/2) + 433520640 z^4 + 1315700736 z^(9/2) + 81788928 z^5 + 276824064 z^(11/2) + 16777216 z^6 + 67108864 z^(13/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (814103915625 - 243145702800 z + 50523782400 z^2 - 11321856000 z^3 + 4644864000 z^4 + 4954521600 z^5 + 1056964608 z^6 + 268435456 z^7) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (814103915625 - 243145702800 z + 50523782400 z^2 - 11321856000 z^3 + 4644864000 z^4 + 4954521600 z^5 + 1056964608 z^6 + 268435456 z^7) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z])/(6597069766656 z^(19/4))










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