Changes between Initial Version and Version 4 of Ticket #16197
 Timestamp:
 04/22/14 06:48:16 (8 years ago)
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Ticket #16197

Property
Summary
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provide function expansions of power series (from Pari)
toprovide missing function expansions of power series

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Summary
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Ticket #16197 – Description
initial v4 1 Not the same as `SR.taylor()`. 1 Some functions do not support rings/powerseries*: 2 2 {{{ 3 3 sage: R.<x> = PowerSeriesRing(ZZ) … … 7 7 ... 8 8 TypeError: cannot coerce arguments: no canonical coercion from Power Series Ring in x over Integer Ring to Symbolic Ring 9 sage: var('X')10 X11 sage: ex=sin(1+4*X^2)12 sage: ex.series()13 ...14 TypeError: series() takes exactly 2 positional arguments (0 given)15 9 }}} 16 What is missing and can be had from Pari: 17 * `acos`, `acosh`, `agm`, `asin`, `asinh`, `atan`, `atanh`, `cos`, `cosh`, `cotanh`, `dilog`, `gamma`, `intformal`, `lngamma`, `psi`, `sin`, `sinh`, `tan`, `tanh` 18 For example: 19 {{{ 20 ? atan(4*x^2+1) 21 %1 = 0.78539816339744830961566084581987572105 + 2*x^2  4*x^4 + 16/3*x^6  128/5*x^10 + 256/3*x^12  1024/7*x^14 + O(x^16) 22 }}} 10 What is missing: 11 * `acos`, `acosh`, `asin`, `asinh`, `atan`, `atanh`, `cos`, `cosh`, `cotanh`, `dilog`, `gamma`, `intformal`, `lngamma`, `psi`, `sin`, `sinh`, `tan`, `tanh`