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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.ausi.01









  


  










Input Form





HypergeometricPFQ[{3, 3, 7/2}, {-(7/2), -(7/2)}, -z] == (1/(11200 (1 + z)^16)) (11200 + 150400 z + 1049088 z^2 + 2091008 z^3 + 760828160 z^4 - 206947760640 z^5 + 4871077634560 z^6 - 30888067927808 z^7 + 71370585741312 z^8 - 66710898231120 z^9 + 25317741735000 z^10 - 3557809196370 z^11 + 142887931329 z^12 - 720451446 z^13) + (1287 (-292864 z^(9/2) + 19129344 z^(11/2) - 241353984 z^(13/2) + 1007586944 z^(15/2) - 1676538864 z^(17/2) + 1180611432 z^(19/2) - 344366022 z^(21/2) + 37118367 z^(23/2) - 1101672 z^(25/2) + 3432 z^(27/2)) ArcSinh[Sqrt[z]])/ (320 Sqrt[1 + z] (1 + 16 z + 120 z^2 + 560 z^3 + 1820 z^4 + 4368 z^5 + 8008 z^6 + 11440 z^7 + 12870 z^8 + 11440 z^9 + 8008 z^10 + 4368 z^11 + 1820 z^12 + 560 z^13 + 120 z^14 + 16 z^15 + z^16))










Standard Form





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MathML Form







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</cn> </apply> </apply> <apply> <times /> <cn type='integer'> 4368 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1820 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 560 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 120 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 16 </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