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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=3, a3>=3 > For fixed z and a1=3, a2=3, a3=7/2 > For fixed z and a1=3, a2=3, a3=7/2, b1=-7/2





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









  


  










Input Form





HypergeometricPFQ[{3, 3, 7/2}, {-(7/2), -(5/2)}, -z] == (1/(1600 (1 + z)^15)) (1600 + 18240 z + 136896 z^2 - 2426560 z^3 - 836051520 z^4 + 58702079040 z^5 - 623704477760 z^6 + 2033955278784 z^7 - 2469088702080 z^8 + 1159458454440 z^9 - 195522907140 z^10 + 9244486845 z^11 - 54504582 z^12) + (9009 (146432 z^(9/2) - 3720704 z^(11/2) + 23482496 z^(13/2) - 52565568 z^(15/2) + 46753080 z^(17/2) - 16566396 z^(19/2) + 2114607 z^(21/2) - 73128 z^(23/2) + 264 z^(25/2)) ArcSinh[Sqrt[z]])/ (320 Sqrt[1 + z] (1 + 15 z + 105 z^2 + 455 z^3 + 1365 z^4 + 3003 z^5 + 5005 z^6 + 6435 z^7 + 6435 z^8 + 5005 z^9 + 3003 z^10 + 1365 z^11 + 455 z^12 + 105 z^13 + 15 z^14 + z^15))










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