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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=7/8, b>=a > For fixed z and a=7/8, b=35/8





http://functions.wolfram.com/07.23.03.c18x.01









  


  








Input Form





Hypergeometric2F1[7/8, 35/8, -(21/4), z] == (7255872 (1 + Sqrt[1 - z]) - 604656 (137 + 131 Sqrt[1 - z]) z + 17784 (24663 + 22487 Sqrt[1 - z]) z^2 - 513 (2811355 + 2439997 Sqrt[1 - z]) z^3 + 399 (8471977 + 7016995 Sqrt[1 - z]) z^4 - 8778 (745167 + 600997 Sqrt[1 - z]) z^5 + 11286 (1936161 + 1727723 Sqrt[1 - z]) z^6 + 268345 (18737 + 1783 Sqrt[1 - z]) z^7 - 268345 (2685 + 271 Sqrt[1 - z]) z^8 + 585480 (177 + 10 Sqrt[1 - z]) z^9 - 7806400 z^10)/ (7255872 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(21/2))








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