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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=3, a2>=3 > For fixed z and a1=3, a2=7/2, a3>=7/2 > For fixed z and a1=3, a2=7/2, a3=4 > For fixed z and a1=3, a2=7/2, a3=4, b1=-3/2





http://functions.wolfram.com/07.27.03.av19.01









  


  










Input Form





HypergeometricPFQ[{3, 7/2, 4}, {-(3/2), -(1/2)}, -z] == (1/(128 (1 + z)^12)) (128 - 5632 z - 1367808 z^2 + 69375872 z^3 - 498108160 z^4 + 997866144 z^5 - 644318136 z^6 + 126126861 z^7 - 5312034 z^8 + 5880 z^9) + (3465 (2688 z^(5/2) - 48768 z^(7/2) + 204640 z^(9/2) - 275400 z^(11/2) + 126315 z^(13/2) - 17724 z^(15/2) + 504 z^(17/2)) ArcSinh[Sqrt[z]])/ (128 Sqrt[1 + z] (1 + 12 z + 66 z^2 + 220 z^3 + 495 z^4 + 792 z^5 + 924 z^6 + 792 z^7 + 495 z^8 + 220 z^9 + 66 z^10 + 12 z^11 + z^12))










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