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





http://functions.wolfram.com/07.27.03.2024.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 3}, {7/2, 7/2}, z] == (-93345 + 1187025 z + 71996238 z^2 + 159457074 z^3 + 68910415 z^4 + 4726785 z^5)/(100663296 z^2) + (245 (-67 + 924 z - 25875 z^2 - 64000 z^3 + 37875 z^4 + 46692 z^5 + 4451 z^6) Log[1 - Sqrt[z]])/(67108864 z^(5/2)) - (245 (-67 + 924 z - 25875 z^2 - 64000 z^3 + 37875 z^4 + 46692 z^5 + 4451 z^6) Log[1 + Sqrt[z]])/(67108864 z^(5/2)) - (3675 (1 - 12 z + 225 z^2 + 2000 z^3 + 2625 z^4 + 756 z^5 + 33 z^6) PolyLog[2, -Sqrt[z]])/(16777216 z^(5/2)) + (3675 (1 - 12 z + 225 z^2 + 2000 z^3 + 2625 z^4 + 756 z^5 + 33 z^6) PolyLog[2, Sqrt[z]])/(16777216 z^(5/2))










Standard Form





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MathML Form







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type='integer'> 2625 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 225 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 12 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 1 </cn> </apply> <apply> <ci> PolyLog </ci> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 16777216 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </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