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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`=7/2





http://functions.wolfram.com/07.22.03.8976.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {7/2, -(1/4)}, z] == (1/(16222586688 z^(5/2))) ((-434188755 + 434188755 E^(4 Sqrt[z]) - 868377510 Sqrt[z] - 868377510 E^(4 Sqrt[z]) Sqrt[z] - 52628940 z + 52628940 E^(4 Sqrt[z]) z + 1052578800 z^(3/2) + 1052578800 E^(4 Sqrt[z]) z^(3/2) - 1804420800 z^2 + 1804420800 E^(4 Sqrt[z]) z^2 + 2790256896 z^(5/2) + 2790256896 E^(4 Sqrt[z]) z^(5/2) - 5646993408 z^3 + 5646993408 E^(4 Sqrt[z]) z^3 + 28737773568 z^(7/2) + 28737773568 E^(4 Sqrt[z]) z^(7/2) + 2662467192 z^4 - 2662467192 E^(4 Sqrt[z]) z^4 - 11272320864 z^(9/2) - 11272320864 E^(4 Sqrt[z]) z^(9/2) - 224606592 z^5 + 224606592 E^(4 Sqrt[z]) z^5 + 913995264 z^(11/2) + 913995264 E^(4 Sqrt[z]) z^(11/2) + 5302272 z^6 - 5302272 E^(4 Sqrt[z]) z^6 - 21307392 z^(13/2) - 21307392 E^(4 Sqrt[z]) z^(13/2) - 32768 z^7 + 32768 E^(4 Sqrt[z]) z^7 + 131072 z^(15/2) + 131072 E^(4 Sqrt[z]) z^(15/2) + 2 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (15277805361 - 5718009024 z + 458970624 z^2 - 10665984 z^3 + 65536 z^4) Erf[Sqrt[2] z^(1/4)] - 2 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (15277805361 - 5718009024 z + 458970624 z^2 - 10665984 z^3 + 65536 z^4) 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