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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=7/2, a3>=7/2 > For fixed z and a1=3, a2=7/2, a3=4 > For fixed z and a1=3, a2=7/2, a3=4, b1=-7/2





http://functions.wolfram.com/07.27.03.av04.01









  


  










Input Form





HypergeometricPFQ[{3, 7/2, 4}, {-(7/2), -(7/2)}, z] == (1/(4480 (-1 + z)^17)) (-4480 + 60800 z - 458752 z^2 + 134144 z^3 - 707318272 z^4 - 222536742400 z^5 - 6123482859520 z^6 - 46455215709952 z^7 - 132413097022336 z^8 - 159352473872592 z^9 - 83008607527560 z^10 - 17802471691290 z^11 - 1345991437791 z^12 - 23897008278 z^13 - 10306296 z^14) - (1287 (292864 z^(9/2) + 22031360 z^(11/2) + 326119680 z^(13/2) + 1635885440 z^(15/2) + 3376762480 z^(17/2) + 3085378296 z^(19/2) + 1249518270 z^(21/2) + 209508585 z^(23/2) + 12175020 z^(25/2) + 154440 z^(27/2)) ArcSin[Sqrt[z]])/(128 Sqrt[1 - z] (-1 + 17 z - 136 z^2 + 680 z^3 - 2380 z^4 + 6188 z^5 - 12376 z^6 + 19448 z^7 - 24310 z^8 + 24310 z^9 - 19448 z^10 + 12376 z^11 - 6188 z^12 + 2380 z^13 - 680 z^14 + 136 z^15 - 17 z^16 + z^17))










Standard Form





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MathML Form







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<apply> <times /> <cn type='integer'> 12376 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 11 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 19448 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 10 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 24310 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 9 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 24310 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 19448 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 7 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 12376 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 6188 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 2380 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 680 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 136 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 17 </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