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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=-47/8, b>=a > For fixed z and a=-47/8, b=45/8





http://functions.wolfram.com/07.23.03.b5qo.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 45/8, -(11/2), z] == (1/676831232) ((1/(1 - Sqrt[z])^(21/4)) (338415616 - 1776681984 Sqrt[z] + 5808827136 z - 14765304064 z^(3/2) + 32282398176 z^2 - 63458966844 z^(5/2) + 115786450351 z^3 - 199442467224 z^(7/2) + 329741638512 z^4 - 527859620288 z^(9/2) + 830662280448 z^5 - 1293424484352 z^(11/2) + 2094115831808 z^6 - 3394098757632 z^(13/2) + 4356845273088 z^7 - 3600783245312 z^(15/2) + 1642985422848 z^8 - 312949604352 z^(17/2)) + (1/(1 + Sqrt[z])^(21/4)) (338415616 + 1776681984 Sqrt[z] + 5808827136 z + 14765304064 z^(3/2) + 32282398176 z^2 + 63458966844 z^(5/2) + 115786450351 z^3 + 199442467224 z^(7/2) + 329741638512 z^4 + 527859620288 z^(9/2) + 830662280448 z^5 + 1293424484352 z^(11/2) + 2094115831808 z^6 + 3394098757632 z^(13/2) + 4356845273088 z^7 + 3600783245312 z^(15/2) + 1642985422848 z^8 + 312949604352 z^(17/2)))










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