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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=-37/8, b>=a > For fixed z and a=-37/8, b=31/8





http://functions.wolfram.com/07.23.03.bc1b.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 31/8, -(21/4), z] == (1/(1576512 2^(1/4) (-1 + z)^4)) ((1 + Sqrt[1 - z])^(1/4) (2 (394128 - 206448 z - 224181 z^2 - 282210 z^3 - 431825 z^4 - 975384 z^5 + 9434304 z^6 - 11523072 z^7 + 4055040 z^8) + (1/Sqrt[1 - z]) (788256 - 807024 z - 340446 z^2 - 337893 z^3 - 530380 z^4 - 1425793 z^5 - 53412768 z^6 + 136190208 z^7 - 114487296 z^8 + 32440320 z^9)))








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