Briefly, the names of the various mathematical function macros are derived from the descriptive ‘Proper Name’ of the function according to:
The is the ‘conventional’ name or based on the “inventor’s” name. The indicates function (generally omitted), integrals, polynomials, and so on. The is the latinized form of the notation, upper or lower case as appropriate. The modifier includes all significant characteristics that may distinguish functions (eg. ‘modified Bessel’ vs. simply ‘Bessel’). The generally indicates limitations or special cases regarding arguments. The , and are abbreviated for brevity, given in Table 4. For predicability, we avoid abbreviating people’s names.
Meaning | |
---|---|
function (omitted by default) | |
char | characteristic |
eigval | eigenvalues |
eigvec | eigenvectors |
int | integral |
mod | modulus |
number | number |
phase | phase (or phase shift) |
poly | polynomial |
sum | sum |
sym | symbol |
trans | transform |
wave | wavefunction |
Meaning | |
---|---|
imag | imaginary argument or order |
k | elliptic functions of , modulus |
m | elliptic functions of parameter |
mat | matrix argument |
real | real argument or order |
invar | on invariants (Weierstrass) |
latt | on lattice (Weierstrass) |
q | functions of , nome |
tau | functions of |
Meaning | |
---|---|
a | arc, inverse (circular functions) |
A | arc, multi-valued-inverse |
aff | affine |
ass | associated |
aux | auxilliary |
big | big |
canon | canonical |
comp | complete |
ccomp | complete complementary |
cont | continuous |
cusp | cuspoid |
deriv | derivative(s) of |
diff | differential |
diffr | diffraction |
dil | dilated |
disc | discrete |
div | dividing |
dual | dual |
ell | elliptic |
env | envelope of |
exp | exponential |
gen | general generalized |
hyper | hyperbolic hypergeometric |
inc | incomplete |
inv | inverse |
irreg | irregular |
little | little |
log | logarithm(ic) |
mod | modified (or modular?) |
multivar | multivariate |
n | number of |
norm | normalized or normalization |
para | parabolic |
per | periodic |
q | -variant of |
rad | radial |
reg | regular |
rest | restricted |
sc | scaled |
shift | shifted |
sph | spherical spheroidal |
sym | symmetric |
umb | umbilic |
usph | ultraspherical |
z | zeros (of) |