Digital Library of Mathematical Functions
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Notations

Notations W

*ABCDEFGHIJKLMNOPQRSTUV♦W♦XYZ
\mathop{\mathscr{W}\/}\nolimits
Wronskian; (1.13.4)
\mathop{W\/}\nolimits\!\left(x\right)
Lambert \mathop{W\/}\nolimits-function; (4.13.1)
\mathop{w\/}\nolimits\!\left(z\right)
complementary error function; (7.2.3)
\mathop{W_{{n}}\/}\nolimits\!\left(x\right)
Chebyshev polynomial of the fourth kind; 18.3.1
\mathop{\mathrm{Wp}\/}\nolimits\!\left(x\right)
principal branch of Lambert \mathop{W\/}\nolimits-function; 4.13
\mathop{\mathrm{Wm}\/}\nolimits\!\left(x\right)
nonprincipal branch of Lambert \mathop{W\/}\nolimits-function; 4.13
\mathop{W_{{\kappa,\mu}}\/}\nolimits\!\left(z\right)
Whittaker confluent hypergeometric function; (13.14.3)
\mathop{W\/}\nolimits\!\left(a,x\right)
parabolic cylinder function; 12.14(i)
w_{{\mbox{\tiny I}}}(z,\lambda)
basic solution, Hill’s equation; 28.29(ii)
w_{{\mbox{\tiny II}}}(z,\lambda)
basic solution, Hill’s equation; 28.29(ii)
w_{{\mbox{\tiny I}}}(z;a,q)
basic solution, Mathieu’s equation; 28.2(ii)
w_{{\mbox{\tiny II}}}(z;a,q)
basic solution, Mathieu’s equation; 28.2(ii)
\mathop{W_{{n}}\/}\nolimits\!\left(x;a,b,c,d\right)
Wilson polynomial; 18.25.1