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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=-33/8





http://functions.wolfram.com/07.23.03.b68q.01









  


  








Input Form





Hypergeometric2F1[-(45/8), -(33/8), 23/4, z] == (1/(100702523469651 z^5)) (16 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (2832720 - 69732124 z + 937944709 z^2 - 10296568088 z^3 + 148509359020 z^4 + 5241325195488 z^5 + 16425971220126 z^6 + 14670370331704 z^7 + 4073166840092 z^8 + 272699155100 z^9 - 26172091 z^10 + (1/Sqrt[1 - z]) (-2832720 + 71148484 z - 972456681 z^2 + 10757000972 z^3 - 153544647580 z^4 - 2021347753472 z^5 - 2465161011894 z^6 + 1834627320224 z^7 + 2327481876852 z^8 + 455921333500 z^9 + 12274710679 z^10 - 104688364 z^11)))








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