# StreamTranscendentalFunctionsNonCommutative CoefΒΆ

StreamTranscendentalFunctionsNonCommutative implements transcendental functions on Taylor series over a non-commutative ring, where a Taylor series is represented by a stream of its coefficients.

^: (Stream Coef, Stream Coef) -> Stream Coef

`st1 ^ st2` computes the power of a power series `st1` by another power series `st2`.

acos: Stream Coef -> Stream Coef

`acos(st)` computes arccosine of a power series `st`.

acosh: Stream Coef -> Stream Coef

`acosh(st)` computes the inverse hyperbolic cosine of a power series `st`.

acot: Stream Coef -> Stream Coef

`acot(st)` computes arccotangent of a power series `st`.

acoth: Stream Coef -> Stream Coef

`acoth(st)` computes the inverse hyperbolic cotangent of a power series `st`.

acsc: Stream Coef -> Stream Coef

`acsc(st)` computes arccosecant of a power series `st`.

acsch: Stream Coef -> Stream Coef

`acsch(st)` computes the inverse hyperbolic cosecant of a power series `st`.

asec: Stream Coef -> Stream Coef

`asec(st)` computes arcsecant of a power series `st`.

asech: Stream Coef -> Stream Coef

`asech(st)` computes the inverse hyperbolic secant of a power series `st`.

asin: Stream Coef -> Stream Coef

`asin(st)` computes arcsine of a power series `st`.

asinh: Stream Coef -> Stream Coef

`asinh(st)` computes the inverse hyperbolic sine of a power series `st`.

atan: Stream Coef -> Stream Coef

`atan(st)` computes arctangent of a power series `st`.

atanh: Stream Coef -> Stream Coef

`atanh(st)` computes the inverse hyperbolic tangent of a power series `st`.

cos: Stream Coef -> Stream Coef

`cos(st)` computes cosine of a power series `st`.

cosh: Stream Coef -> Stream Coef

`cosh(st)` computes the hyperbolic cosine of a power series `st`.

cot: Stream Coef -> Stream Coef

`cot(st)` computes cotangent of a power series `st`.

coth: Stream Coef -> Stream Coef

`coth(st)` computes the hyperbolic cotangent of a power series `st`.

csc: Stream Coef -> Stream Coef

`csc(st)` computes cosecant of a power series `st`.

csch: Stream Coef -> Stream Coef

`csch(st)` computes the hyperbolic cosecant of a power series `st`.

exp: Stream Coef -> Stream Coef

`exp(st)` computes the exponential of a power series `st`.

log: Stream Coef -> Stream Coef

`log(st)` computes the log of a power series.

sec: Stream Coef -> Stream Coef

`sec(st)` computes secant of a power series `st`.

sech: Stream Coef -> Stream Coef

`sech(st)` computes the hyperbolic secant of a power series `st`.

sin: Stream Coef -> Stream Coef

`sin(st)` computes sine of a power series `st`.

sinh: Stream Coef -> Stream Coef

`sinh(st)` computes the hyperbolic sine of a power series `st`.

tan: Stream Coef -> Stream Coef

`tan(st)` computes tangent of a power series `st`.

tanh: Stream Coef -> Stream Coef

`tanh(st)` computes the hyperbolic tangent of a power series `st`.