StreamTranscendentalFunctionsNonCommutative CoefΒΆ

sttf.spad line 447

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.