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Mathematical Functions

Logarithms and special functions

Use a wide variety of mathematical functions in your computations — from basic functions, such as sine and cosine functions, to special functions, such as the Riemann zeta function and Bessel functions.


catalan Catalan constant
eulergamma Euler-Mascheroni constant
log Natural logarithm of entries of symbolic matrix
log10 Logarithm base 10 of entries of symbolic matrix
log2 Logarithm base 2 of entries of symbolic matrix
dilog Dilogarithm function
polylog Polylogarithm
psi Digamma function
zeta Riemann zeta function
sin Symbolic sine function
cos Symbolic cosine function
tan Symbolic tangent function
cot Symbolic cotangent function
sec Symbolic secant function
csc Symbolic cosecant function
asin Symbolic inverse sine function
acos Symbolic inverse cosine function
atan Symbolic inverse tangent function
acot Symbolic inverse cotangent function
asec Symbolic inverse secant function
acsc Symbolic inverse cosecant function
sinh Symbolic hyperbolic sine function
cosh Symbolic hyperbolic cosine function
tanh Symbolic hyperbolic tangent function
coth Symbolic hyperbolic cotangent function
sech Symbolic hyperbolic secant function
csch Symbolic hyperbolic cosecant function
asinh Symbolic inverse hyperbolic sine function
acosh Symbolic inverse hyperbolic cosine function
atanh Symbolic inverse hyperbolic tangent function
acoth Symbolic inverse hyperbolic cotangent function
asech Symbolic inverse hyperbolic secant function
acsch Symbolic inverse hyperbolic cosecant function
abs Absolute value of real or complex value
angle Symbolic polar angle
atan2 Symbolic four-quadrant inverse tangent
imag Imaginary part of complex number
real Real part of complex number
sign Sign of real or complex value
signIm Sign of the imaginary part of complex number
beta Beta function
factorial Factorial function
gamma Gamma function
gammaln Logarithmic gamma function
igamma Incomplete gamma function
nchoosek Binomial coefficient
pochhammer Pochhammer symbol
dawson Dawson integral
erf Error function
erfc Complementary error function
erfcinv Inverse complementary error function
erfi Imaginary error function
erfinv Inverse error function
fresnelc Fresnel cosine integral function
fresnels Fresnel sine integral function
coshint Hyperbolic cosine integral function
cosint Cosine integral function
ei One-argument exponential integral function
expint Exponential integral function
eulergamma Euler-Mascheroni constant
logint Logarithmic integral function
sinhint Hyperbolic sine integral function
sinint Sine integral function
ssinint Shifted sine integral function
ellipke Complete elliptic integrals of the first and second kinds
ellipticCE Complementary complete elliptic integral of the second kind
ellipticCK Complementary complete elliptic integral of the first kind
ellipticCPi Complementary complete elliptic integral of the third kind
ellipticE Complete and incomplete elliptic integrals of the second kind
ellipticF Incomplete elliptic integral of the first kind
ellipticK Complete elliptic integral of the first kind
ellipticPi Complete and incomplete elliptic integrals of the third kind

Dirac, Heaviside and Related Functions

dirac Dirac delta function
heaviside Heaviside step function
kroneckerDelta Kronecker delta function
rectangularPulse Rectangular pulse function
triangularPulse Triangular pulse function

Airy and Bessel Functions

airy Airy function
besseli Modified Bessel function of the first kind
besselj Bessel function of the first kind
besselk Modified Bessel function of the second kind
bessely Bessel function of the second kind

Hypergeometric, Kummer, and Whittaker Functions

hypergeom Hypergeometric function
kummerU Confluent hypergeometric Kummer U function
whittakerM Whittaker M function
whittakerW Whittaker W function

Lambert W and Wright Functions

lambertw Lambert W function
wrightOmega Wright omega function
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