Rational Polynomials (Rational Functions)
denomextract the denominator of a rational functionnormalnormal form for rational functionsnumerextract the numerator of a rational functionsubsevaluate a rational function
Mathematical Operations on Rational Functions.
asymptasymptotic series expansiondiffdifferentiate a rational functionintintegrate a rational function (indefinite/definite integration)limitcompute a limit of a rational functionsumsum a rational function (indefinite or definite summation)seriesgeneral power series expansiontaylorTaylor series expansion
Operations for Regrouping Terms of Rational Functions.
collectgroup coefficients of like terms togetherconfracconvert a series or rational function to a continued fractionsee convert/confrachornerconvert all polynomial subexpressions to horner formsee convert/hornerfactorfactor the numerator and denominatorparfracpartial fraction expansion of a rational functionsee convert/parfracratpolyconvert a series to a rational function (Pade approximation)see convert/ratpolysortsort all polynomial subexpressions
The type function can be used to test for rational polynomials. For example the test type(a, ratpoly(integer, x)) tests whether the expression NiNJImFHNiI= is a rational polynomial in the variable x with integer coefficients. See type/ratpoly for further details.
See Alsoconvertpolynomseriestypetype/ratpoly