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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=1, a2>=1 > For fixed z and a1=1, a2=5/2, a3>=5/2 > For fixed z and a1=1, a2=5/2, a3=3 > For fixed z and a1=1, a2=5/2, a3=3, b1=-7/2





http://functions.wolfram.com/07.27.03.aqk7.01









  


  










Input Form





HypergeometricPFQ[{1, 5/2, 3}, {-(7/2), -(7/2)}, -z] == (1/(1960 (1 + z)^13)) (1960 + 24280 z + 139968 z^2 + 475024 z^3 + 4466584 z^4 - 553176312 z^5 + 7268598480 z^6 - 22690420896 z^7 + 21541672152 z^8 - 6118960848 z^9 + 384298824 z^10 - 628425 z^11 + 13230 z^12) - (1287 (1024 z^(9/2) - 39936 z^(11/2) + 274560 z^(13/2) - 549120 z^(15/2) + 360360 z^(17/2) - 72072 z^(19/2) + 3003 z^(21/2)) ArcSinh[Sqrt[z]])/(56 Sqrt[1 + z] (1 + 13 z + 78 z^2 + 286 z^3 + 715 z^4 + 1287 z^5 + 1716 z^6 + 1716 z^7 + 1287 z^8 + 715 z^9 + 286 z^10 + 78 z^11 + 13 z^12 + z^13))










Standard Form





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MathML Form







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<cn type='integer'> 1287 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 715 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 286 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 78 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 13 </cn> <ci> z </ci> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02