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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=23/8





http://functions.wolfram.com/07.23.03.b6wu.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 23/8, 15/4, z] == (1/(164709651 z^3)) (4 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (390572 + 209235 z + 1269359 z^2 - 13139095 z^3 + 36092857 z^4 - 48977168 z^5 + 36477056 z^6 - 14350336 z^7 + 2342912 z^8 + (1/Sqrt[1 - z]) (-390572 - 13949 z - 1115920 z^2 + 34413046 z^3 - 140271756 z^4 + 269131503 z^5 - 291882528 z^6 + 184602880 z^7 - 63844352 z^8 + 9371648 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