Changes between Version 1 and Version 12 of Ticket #21639
 Timestamp:
 10/29/16 08:33:36 (5 years ago)
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Ticket #21639
 Property Cc rws added

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Dependencies
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#21645

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Summary
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[PATCH] Implement derivative of gegenbauer(n,a,x) wrt to x
toImplement derivative of gegenbauer(n,a,x) wrt to a

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Authors
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Carlos R. Mafra

Ticket #21639 – Description
v1 v12 1 Implement 2 {{{ 3 In [3]: gegenbauer(n,m,x) 4 Out[3]: gegenbauer(n, m, x) 5 6 In [4]: _.diff(m) 7 Out[4]: 8 n  1 9 ____ 10 ╲ 11 ╲ ⎛⎛ k + n ⎞ 12 ╲ ⎜⎝2⋅(1) + 2⎠⋅(k + m)⋅gegenbauer(k, m, x) ⎛ 2⋅k + 2 13 ╱ ⎜────────────────────────────────────────────── + ⎜────────────────────── 14 ╱ ⎝ (k + n)⋅(k + 2⋅m + n) ⎝(k + 2⋅m)⋅(2⋅k + 2⋅m + 15 ╱ 16 ‾‾‾‾ 17 k = 0 18 19 20 21 22 ⎞ 23 2 ⎞ ⎟ 24 ─── + ───────────⎟⋅gegenbauer(n, m, x) ⎟ 25 1) k + 2⋅m + n ⎠ ⎠ 26 27 }}} 28 Previous description was (now implemented): 29 1 30 I noticed that the derivative of the gegenbauer polynomial wrt x was not implemented, so I wrote a patch for it. 2 31