These mathematical functions are known to Maple, in that they have simplification procedures defined and/or are known to one or more of: diff, evalc, evalf, expand, series, simplify
Back to IntegerRelations.
| abs | - absolute value of real or complex number | |
| AiryAi | ||
| AiryAiZeros | ||
| AiryBi | ||
| AiryBiZeros | - Airywave functions and their negative real zeros | |
| AngerJ | - Anger J function | |
| argument | -argument of a complex number | |
| bernoulli | -Bernoulli numbers and polynomials | |
| BesselI | ||
| BesselJ | - modified Bessel functions and Bessel functions of the 1st kind | |
| BesselJZeros | - non negative realzeros of Bessel J | |
| BesselK | ||
| BesselY | - modified Bessel functions and Bessel functions of the 2nd kind | |
| BesselYZeros | - positive realzeros of Bessel Y | |
| Beta | - Beta function | |
| binomial | - binomial coefficients | |
| ceil | - smallest integer greater than or equal to a number | |
| Chi | - hyperbolic cosine integral | |
| Ci | - cosine integral | |
| conjugate | -conjugate of a complex number or expression | |
| csgn | - complex ``half-plane'' signum function | |
| dilog | - dilogarithm function | |
| Dirac | - Dirac delta function | |
| Ei | - exponential integrals | |
| EllipticCE | ||
| EllipticCK | ||
| EllipticCPi | ||
| EllipticE | ||
| EllipticF | ||
| EllipticK | ||
| EllipticModulus | ||
| EllipticNome | ||
| EllipticPi | - Complete incomplete and complementary elliptic | |
| integrals and related functions | ||
| erf | - error function | |
| erfc | - complementary error function and its | |
| iterated integrals | ||
| erfi | - imaginary error function | |
| euler | - Euler numbers and polynomials | |
| exp | - exponential function | |
| factorial | -factorial function | |
| floor | - greatest integer less than or equal to a number | |
| frac | - fractional part of a number | |
| FresnelC | ||
| Fresnelf | ||
| Fresnelg | ||
| FresnelS | - Fresnel integrals and auxiliary functions | |
| GAMMA | - Gamma and incomplete Gamma functions | |
| GaussAGM | - Gauss arithmetic geometric mean | |
| HankelH1 | ||
| HankelH2 | - Hankel functions (Bessel functions of the 3rd kind) | |
| harmonic | - partial sum of the harmonic series | |
| Heaviside | - Heaviside step function | |
| hypergeom | - generalized hypergeometric function | |
| ilog10 | ||
| ilog | - integer logarithms | |
| Im | - imaginary part of a complex number | |
| JacobiAM | ||
| JacobiCN | ||
| JacobiCD | ||
| JacobiCS | ||
| JacobiDN | ||
| JacobiDC | ||
| JacobiDS | ||
| JacobiNC | ||
| JacobiND | ||
| JacobiNS | ||
| JacobiSC | ||
| JacobiSD | ||
| JacobiSN | - Jacobi elliptic functions | |
| JacobiTheta1 | ||
| JacobiTheta2 | ||
| JacobiTheta3 | ||
| JacobiTheta4 | - Jacobi theta functions | |
| JacobiZeta | -Jacobi Zeta function | |
| KelvinBer | ||
| KelvinBei | ||
| KelvinHer | ||
| KelvinHei | ||
| KelvinKer | ||
| KelvinKei | -Kelvin functions | |
| KummerM | ||
| KummerU | - Kummer functions | |
| LegendreP | ||
| LegendreQ | -Legendre functions | |
| LerchPhi | - Lerch's Phi function | |
| Li | - logarithmic integral | |
| ln | - natural logarithm (logarithm with base exp(1) = 2.71...) | |
| lnGAMMA | - log-Gamma function | |
| log | - logarithm to arbitrary base | |
| log10 | - log to the base 10 | |
| LommelS1 | ||
| LommelS2 | - Lommel functions | |
| MeijerG | - a modified MeijerG function | |
| max | ||
| min | - maximum/minimum of a sequence of real values | |
| pochhammer | - pochhammersymbol | |
| polar | - polar representation of complex numbers | |
| polylog | - polylogarithm function | |
| Psi | - polygamma function | |
| Re | - real part of a complex number | |
| round | - nearest integer to a number | |
| signum | - sign of a real or complex number | |
| Shi | - hyperbolic sine integral | |
| Si | - sine integral | |
| sqrt | - square root | |
| Ssi | - shifted sine integral | |
| StruveH | ||
| StruveL | - Struve functions | |
| surd | - non-principal root function | |
| trunc | - nearest integer to a number in the direction of 0 | |
| LambertW | - Lambert W function | |
| WeberE | - Weber E function | |
| WeierstrassP | - WeierstrassP-function | |
| WeierstrassPPrime | - Derivative of Weierstrass P-function | |
| WeierstrassZeta | - Weierstrass zeta-function | |
| WeierstrassSigma | - Weierstrass sigma-function | |
| WhittakerM | ||
| WhittakerW | -Whittaker functions | |
| Zeta | - Riemann and Hurwitz zeta functions | |
The trigonometric and hyperbolic
functions:
sin, cos, tan,
sec,
csc, cot, sinh,
cosh,
tanh, sech, csch, coth
The inverse trigonometric
and inverse hyperbolic functions:
arcsin, arccos,
arctan, arcsec, arccsc, arccot,
arcsinh, arccosh, arctanh,
arcsech, arccsch, arccoth
two-argument arctan: arctan(y,x)
= argument(x+I*y) in (-Pi,Pi]
Back to IntegerRelations.