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variants of this functions
JacobiP






Mathematica Notation

Traditional Notation









Hypergeometric Functions > JacobiP[nu,a,b,z] > Specific values > Specialized values > For fixed a,b,z





http://functions.wolfram.com/07.15.03.0020.01









  


  










Input Form





JacobiP[6, a, b, z] == (1/46080) (64 (1 + a) (2 + a) (3 + a) (4 + a) (5 + a) (6 + a) - 192 (2 + a) (3 + a) (4 + a) (5 + a) (6 + a) (7 + a + b) + 240 (3 + a) (4 + a) (5 + a) (6 + a) (7 + a + b) (8 + a + b) - 160 (4 + a) (5 + a) (6 + a) (7 + a + b) (8 + a + b) (9 + a + b) + 60 (5 + a) (6 + a) (7 + a + b) (8 + a + b) (9 + a + b) (10 + a + b) - 12 (6 + a) (7 + a + b) (8 + a + b) (9 + a + b) (10 + a + b) (11 + a + b) + (7 + a + b) (8 + a + b) (9 + a + b) (10 + a + b) (11 + a + b) (12 + a + b) + 6 (7 + a + b) (a^5 - 5 a^4 (2 + b) + 5 a^3 (-17 + 4 b + 2 b^2) - 5 a^2 (-62 - 63 b + 2 b^3) - b (1584 + 310 b - 85 b^2 - 10 b^3 + b^4) + a (1584 - 315 b^2 - 20 b^3 + 5 b^4)) z + 15 (7 + a + b) (8 + a + b) (360 + a^4 + 66 b - 61 b^2 - 6 b^3 + b^4 - 2 a^3 (3 + 2 b) + a^2 (-61 + 6 b + 6 b^2) + a (66 + 134 b + 6 b^2 - 4 b^3)) z^2 + 20 (7 + a + b) (8 + a + b) (9 + a + b) (a^3 - 3 a^2 (1 + b) + b (34 + 3 b - b^2) + a (-34 + 3 b^2)) z^3 + 15 (7 + a + b) (8 + a + b) (9 + a + b) (10 + a + b) (-12 + a^2 - b + b^2 - a (1 + 2 b)) z^4 + 6 (a - b) (7 + a + b) (8 + a + b) (9 + a + b) (10 + a + b) (11 + a + b) z^5 + (7 + a + b) (8 + a + b) (9 + a + b) (10 + a + b) (11 + a + b) (12 + a + b) z^6)










Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2001-10-29





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