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





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









  


  










Input Form





HypergeometricPFQ[{1, 3, 7/2}, {-(7/2), -(7/2)}, -z] == (1/(1400 (1 + z)^14)) (1400 + 18400 z + 114056 z^2 + 406544 z^3 + 7277176 z^4 - 1200262336 z^5 + 18778575816 z^6 - 72700419792 z^7 + 90849024552 z^8 - 37810982352 z^9 + 4458690912 z^10 - 76648062 z^11 - 34965 z^12 + 5670 z^13) + (1287 (-2048 z^(9/2) + 93184 z^(11/2) - 768768 z^(13/2) + 1921920 z^(15/2) - 1681680 z^(17/2) + 504504 z^(19/2) - 42042 z^(21/2) + 429 z^(23/2)) ArcSinh[Sqrt[z]])/(40 Sqrt[1 + z] (1 + 14 z + 91 z^2 + 364 z^3 + 1001 z^4 + 2002 z^5 + 3003 z^6 + 3432 z^7 + 3003 z^8 + 2002 z^9 + 1001 z^10 + 364 z^11 + 91 z^12 + 14 z^13 + z^14))










Standard Form





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MathML Form







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<power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 364 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 91 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 14 </cn> <ci> z </ci> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </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