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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-15/8, b>=a > For fixed z and a=-15/8, b=45/8





http://functions.wolfram.com/07.23.03.bpf9.01









  


  










Input Form





Hypergeometric2F1[-(15/8), 45/8, -(9/2), z] == (1/2197504) ((1/(1 - Sqrt[z])^(33/4)) (1098752 - 9064704 Sqrt[z] + 35434752 z - 89702800 z^(3/2) + 168997500 z^2 - 254413665 z^(5/2) + 315462000 z^3 - 322930080 z^(7/2) + 265760640 z^4 - 166186240 z^(9/2) + 72517632 z^5 - 19329024 z^(11/2) + 2342912 z^6) + (1/(1 + Sqrt[z])^(33/4)) (1098752 + 9064704 Sqrt[z] + 35434752 z + 89702800 z^(3/2) + 168997500 z^2 + 254413665 z^(5/2) + 315462000 z^3 + 322930080 z^(7/2) + 265760640 z^4 + 166186240 z^(9/2) + 72517632 z^5 + 19329024 z^(11/2) + 2342912 z^6))










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02