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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=7/2, a2>=7/2 > For fixed z and a1=7/2, a2=4, a3>=4 > For fixed z and a1=7/2, a2=4, a3=4 > For fixed z and a1=7/2, a2=4, a3=4, b1=-7/2





http://functions.wolfram.com/07.27.03.avb1.01









  


  










Input Form





HypergeometricPFQ[{7/2, 4, 4}, {-(7/2), -(1/2)}, -z] == (1/(256 (1 + z)^15)) (256 - 4352 z - 464640 z^2 - 17086720 z^3 - 893102848 z^4 + 22018168704 z^5 - 106186179008 z^6 + 173259046480 z^7 - 107694898200 z^8 + 24852686217 z^9 - 1792671132 z^10 + 24167124 z^11) - (45045 (-91520 z^(9/2) + 985920 z^(11/2) - 3061872 z^(13/2) + 3580072 z^(15/2) - 1667403 z^(17/2) + 292194 z^(19/2) - 15720 z^(21/2) + 144 z^(23/2)) ArcSinh[Sqrt[z]])/(256 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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</apply> <apply> <times /> <cn type='integer'> 455 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 105 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 15 </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