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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=31/8





http://functions.wolfram.com/07.23.03.b71q.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 31/8, 15/4, z] == (1/(3788321973 z^3)) (4 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (390572 + 2078401 z + 21830185 z^2 - 348230885 z^3 + 1262350575 z^4 - 2120839072 z^5 + 1881028864 z^6 - 858091520 z^7 + 159318016 z^8 + (1/Sqrt[1 - z]) (-390572 - 1883115 z - 20742163 z^2 + 832970435 z^3 - 4393218629 z^4 + 10384720684 z^5 - 13399828992 z^6 + 9831590912 z^7 - 3870490624 z^8 + 637272064 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