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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=-19/4, b1`>=-11/2 > For fixed z and a1=-19/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.9378.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {-(1/2), 17/4}, z] == (-4 z^(1/4) (-6005213589375 - 8006951452500 Sqrt[z] - 711729018000 z + 3931455528000 z^(3/2) - 1350744595200 z^2 - 4850849203200 z^(5/2) + 32154071040 z^3 - 10978275409920 z^(7/2) - 5926412943360 z^4 + 26240274923520 z^(9/2) + 948924579840 z^5 - 3891630440448 z^(11/2) - 32900120576 z^6 + 132405788672 z^(13/2) + 268435456 z^7 - 1073741824 z^(15/2) + E^(4 Sqrt[z]) (-6005213589375 + 8006951452500 Sqrt[z] - 711729018000 z - 3931455528000 z^(3/2) - 1350744595200 z^2 + 4850849203200 z^(5/2) + 32154071040 z^3 + 10978275409920 z^(7/2) - 5926412943360 z^4 - 26240274923520 z^(9/2) + 948924579840 z^5 + 3891630440448 z^(11/2) - 32900120576 z^6 - 132405788672 z^(13/2) + 268435456 z^7 + 1073741824 z^(15/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (-6005213589375 + 5693832144000 z - 5797356364800 z^2 + 26502200524800 z^3 + 58893778944000 z^4 - 107691481497600 z^5 + 15664215490560 z^6 - 530428461056 z^7 + 4294967296 z^8) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] (-6005213589375 + 5693832144000 z - 5797356364800 z^2 + 26502200524800 z^3 + 58893778944000 z^4 - 107691481497600 z^5 + 15664215490560 z^6 - 530428461056 z^7 + 4294967296 z^8) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z])/(173173081374720 z^(13/4))










Standard Form





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MathML Form







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





2007-05-02