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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=-45/8, b>=a > For fixed z and a=-45/8, b=39/8





http://functions.wolfram.com/07.23.03.b768.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 39/8, -(1/2), z] == (1/484840) ((1/(1 + Sqrt[z])^(3/4)) (242420 + 181815 Sqrt[z] + 13272495 z - 214384420 z^(3/2) - 530781840 z^2 + 2110657536 z^(5/2) + 3795547392 z^3 - 6499943424 z^(7/2) - 10054287360 z^4 + 7893483520 z^(9/2) + 11166744576 z^5 - 3302227968 z^(11/2) - 4402970624 z^6) + (1/(1 - Sqrt[z])^(3/4)) (242420 - 181815 Sqrt[z] + 13272495 z + 214384420 z^(3/2) - 530781840 z^2 - 2110657536 z^(5/2) + 3795547392 z^3 + 6499943424 z^(7/2) - 10054287360 z^4 - 7893483520 z^(9/2) + 11166744576 z^5 + 3302227968 z^(11/2) - 4402970624 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