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





http://functions.wolfram.com/07.27.03.au9q.01









  


  










Input Form





HypergeometricPFQ[{5/2, 3, 3}, {-(5/2), -(5/2)}, -z] == (1/(320 (1 + z)^13)) (320 + 3008 z + 24320 z^2 - 1962368 z^3 + 369569216 z^4 - 5409849664 z^5 + 19620987584 z^6 - 23004247200 z^7 + 9077035506 z^8 - 1055752467 z^9 + 22452738 z^10) - (693 (-8448 z^(7/2) + 361856 z^(9/2) - 2805696 z^(11/2) + 6591200 z^(13/2) - 5439390 z^(15/2) + 1561329 z^(17/2) - 131208 z^(19/2) + 1848 z^(21/2)) ArcSinh[Sqrt[z]])/ (64 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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<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