FLINT3.7.0-dev
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_gr_poly_asin_series, gr_poly_asin_series, _gr_poly_asinh_series, gr_poly_asinh_series, _gr_poly_acos_series, gr_poly_acos_series, _gr_poly_acosh_series, gr_poly_acosh_series, _gr_poly_atan_series, gr_poly_atan_series, _gr_poly_atanh_series, gr_poly_atanh_series

Synopsis#include <flint/gr_poly.h>
int _gr_poly_asin_series(gr_ptr res, gr_srcptr f, slong flen, slong len, gr_ctx_t ctx)source
int gr_poly_asin_series(gr_poly_t res, const gr_poly_t f, slong len, gr_ctx_t ctx)source
int _gr_poly_asinh_series(gr_ptr res, gr_srcptr f, slong flen, slong len, gr_ctx_t ctx)source
int gr_poly_asinh_series(gr_poly_t res, const gr_poly_t f, slong len, gr_ctx_t ctx)source
int _gr_poly_acos_series(gr_ptr res, gr_srcptr f, slong flen, slong len, gr_ctx_t ctx)source
int gr_poly_acos_series(gr_poly_t res, const gr_poly_t f, slong len, gr_ctx_t ctx)source
int _gr_poly_acosh_series(gr_ptr res, gr_srcptr f, slong flen, slong len, gr_ctx_t ctx)source
int gr_poly_acosh_series(gr_poly_t res, const gr_poly_t f, slong len, gr_ctx_t ctx)source
int _gr_poly_atan_series(gr_ptr res, gr_srcptr f, slong flen, slong len, gr_ctx_t ctx)source
int gr_poly_atan_series(gr_poly_t res, const gr_poly_t f, slong len, gr_ctx_t ctx)source
int _gr_poly_atanh_series(gr_ptr res, gr_srcptr f, slong flen, slong len, gr_ctx_t ctx)source
int gr_poly_atanh_series(gr_poly_t res, const gr_poly_t f, slong len, gr_ctx_t ctx)source

Set res to the inverse trigonometric or hyperbolic function of ff modulo xlenx^{\mathit{len}}, as the integral of f′/1−f2f' / \sqrt{1 - f^2}, f′/1+f2f' / \sqrt{1 + f^2}, −f′/1−f2-f' / \sqrt{1 - f^2}, f′/f2−1f' / \sqrt{f^2 - 1}, f′/(1+f2)f' / (1 + f^2) or f′/(1−f2)f' / (1 - f^2) plus the value at the constant term.

Cite this page

The FLINT team, “_gr_poly_asin_series, gr_poly_asin_series, _gr_poly_asinh_series, gr_poly_asinh_series, _gr_poly_acos_series, gr_poly_acos_series, _gr_poly_acosh_series, gr_poly_acosh_series, _gr_poly_atan_series, gr_poly_atan_series, _gr_poly_atanh_series, gr_poly_atanh_series (gr_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_poly/_gr_poly_asin_series.html (generated 2026-11-02).