Notations *
- : factorial; Common Notations and Definitions
- : -factorial; §5.18(i)
- : double factorial; Common Notations and Definitions
- : vector dot (or scalar) product; (1.6.2)
- : convolution for Fourier transforms; (1.14.5)
- : convolution for Laplace transforms; (1.14.30)
- : convolution product; (2.6.34)
- : convolution for Mellin transforms; (1.14.39)
- : Cartesian product of groups and ; §23.1
- : vector cross product; (1.6.9)
- implies; Common Notations and Definitions
- is equivalent to; Common Notations and Definitions
- : set of all elements of modulo elements of ; §21.1
- set subtraction; Common Notations and Definitions
- asymptotic equality; (2.1.1)
- backward difference operator; ¶ ‣ §3.10(iii)
- del operator; (1.6.19)
- Laplacian for polar coordinates; ¶ ‣ §1.5(ii)
- Laplacian; ¶ ‣ §1.5(ii)
- Laplacian for spherical coordinates; ¶ ‣ §1.5(ii)
- Laplacian for cylindrical coordinates; ¶ ‣ §1.5(ii)
- gradient of differentiable scalar function ; (1.6.20)
- divergence of vector-valued function ; (1.6.21)
- curl of vector-valued function ; (1.6.22)
- integral; §1.4(iv)
- Cauchy principal value; (1.4.24)
- loop integral in : path begins at , encircles once in the positive sense, and returns to .; ¶ ‣ §5.9(i)
- Pochhammer’s loop integral; ¶ ‣ §5.12
- -integral; §17.2(v)
- complex conjugate; (1.9.11)
- modulus (or absolute value); (1.9.7)
- magnitude of vector; (1.6.3)
- -norm of a matrix; §3.2(iii)
- Euclidean norm of a vector; §3.2(iii)
- infinity (or maximum) norm of a vector; §3.2(iii)
- -norm of a vector; §3.2(iii)
- limit on right (or from above); (1.4.1)
- limit on left (or from below); (1.4.3)
- th -derivative; §17.2(iv)
- falling factorial; ¶ ‣ §26.1
- rising factorial; ¶ ‣ §26.1
- continued fraction; §1.12(i)
- Pochhammer’s symbol; §5.2(iii)
- alternative notation; §5.1
(with : gamma function) - open interval; Common Notations and Definitions
- half-closed interval; Common Notations and Definitions
- Jacobi symbol; §27.9
- Legendre symbol; §27.9
- -factorial (or -shifted factorial); §17.2(i)
- -factorial (or -shifted factorial); §5.18(i)
- -shifted factorial (generalized); §17.2(i)
- -shifted factorial; §17.2(i)
- multiple -shifted factorial; §17.2(i)
- multiple -shifted factorial; §17.2(i)
- notation used by Dingle (1973); §8.1
(with : incomplete gamma function) - Clebsch–Gordan coefficient; §34.1
- binomial coefficient; §26.3(i)
- binomial coefficient; (1.2.1)
- multinomial coefficient; §26.4(i)
- symbol; (34.2.4)
- tempered distribution; (2.6.11)
- distribution; §1.16(i)
- Dirac delta distribution; §1.16(iii)
- Eulerian number; §26.14(i)
- floor of ; Common Notations and Definitions
- ceiling of ; Common Notations and Definitions
- divided difference; §3.3(iii)
- partitional shifted factorial; (35.4.1)
- half-closed interval; Common Notations and Definitions
- closed interval; Common Notations and Definitions
- Padé approximant; §3.11(iv)
- notation used by Dingle (1973); §8.1
(with : incomplete gamma function) - Stirling cycle number; §26.13
- -binomial coefficient (or Gaussian polynomial); (17.2.27)
- -binomial coefficient (or Gaussian polynomial); §26.9(ii)
- notation used by Knuth (1992), Graham et al. (1994), Rosen et al. (2000); ¶ ‣ §26.1
(with : Stirling number of the first kind) - -multinomial coefficient; §26.16
- sequence, asymptotic sequence (or scale), or enumerable set; §2.1(v)
- Schwarzian derivative; (1.13.20)
- notation used by Knuth (1992), Graham et al. (1994), Rosen et al. (2000); ¶ ‣ §26.1
(with : Stirling number of the second kind) - symbol; (34.4.1)
- symbol; (34.6.1)