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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=-35/8, b>=a > For fixed z and a=-35/8, b=33/8





http://functions.wolfram.com/07.23.03.bd4t.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 33/8, -(7/2), z] == (1/43520) ((1/(1 - Sqrt[z])^(13/4)) (21760 - 70720 Sqrt[z] + 191760 z - 397800 z^(3/2) + 800445 z^2 - 1432080 z^(5/2) + 2684640 z^3 - 4667520 z^(7/2) + 10771200 z^4 - 49494016 z^(9/2) + 104845312 z^5 - 91373568 z^(11/2) + 28114944 z^6) + (1/(1 + Sqrt[z])^(13/4)) (21760 + 70720 Sqrt[z] + 191760 z + 397800 z^(3/2) + 800445 z^2 + 1432080 z^(5/2) + 2684640 z^3 + 4667520 z^(7/2) + 10771200 z^4 + 49494016 z^(9/2) + 104845312 z^5 + 91373568 z^(11/2) + 28114944 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