DLMF: Notations M

♦*♦A♦B♦C♦D♦E♦F♦G♦H♦I♦J♦K♦L♦M♦N♦O♦P♦Q♦R♦S♦T♦U♦V♦W♦X♦Y♦Z♦

$\mathop{M\/}\nolimits\!\left(z\right)$: Airy modulus function; §9.8(i)
$\mathop{\mathsf{M}\/}\nolimits\!\left(x\right)$: Mills’ ratio; (7.8.1)
$M(n)$: Motzkin number; (26.6.2)
$\mathop{M_{{\nu}}\/}\nolimits\!\left(x\right)$: modulus of Bessel functions; (10.18.1)
$\mathop{\mathbf{M}_{{\nu}}\/}\nolimits\!\left(z\right)$: modified Struve function; (11.2.6)
$\mathop{\Gamma\/}\nolimits\!\left(1+2\mu\right)\mathscr{M}_{{\kappa,\mu}}=\mathop{M_{{\kappa,\mu}}\/}\nolimits\!\left(z\right)$: notation used by Buchholz (1969); §13.1
(with $\mathop{M_{{\kappa,\mu}}\/}\nolimits\!\left(z\right)$ : Whittaker confluent hypergeometric function)
$\mathop{M_{{\kappa,\mu}}\/}\nolimits\!\left(z\right)$: Whittaker confluent hypergeometric function; (13.14.2)
$\mathop{M\/}\nolimits\!\left(a,g\right)$: arithmetic-geometric mean; §19.8(i)
$\mathop{\mathscr{M}\/}\nolimits\left(f;s\right)$: Mellin transform; (1.14.32)
$\mathop{M_{{\ell}}\/}\nolimits\!\left(\eta,\rho\right)$: envelope of Coulomb functions; (33.3.1)
$\mathop{{\mathrm{M}^{{(j)}}_{{\nu}}}\/}\nolimits\!\left(z,h\right)$: modified Mathieu function; §28.20(iii)
$\mathop{M\/}\nolimits\!\left(a,b,z\right)$: Kummer confluent hypergeometric function; (13.2.2)

$\mathop{{\mathbf{M}}\/}\nolimits\!\left(a,b,z\right)$: Olver’s confluent hypergeometric function; (13.2.3)
$\mathop{M_{{n}}\/}\nolimits\!\left(x;\beta,c\right)$: Meixner polynomial; Table 18.19.1
$\mathrm{maj}$: major index; §26.14(i)
$\mathop{{\mathrm{Mc}^{{(j)}}_{{n}}}\/}\nolimits\!\left(z,h\right)$: radial Mathieu function; (28.20.15)
$\mathop{\mathrm{Me}_{{\nu}}\/}\nolimits\!\left(z,q\right)$: modified Mathieu function; (28.20.5)
$\mathop{\mathrm{me}_{{\nu}}\/}\nolimits\!\left(z,q\right)$: Mathieu function of noninteger order; §28.12(ii)
$\mathop{\mathrm{me}_{{n}}\/}\nolimits\!\left(z,q\right)$: Mathieu function; §28.12(ii)
$\mathrm{Me}_{n}^{{(1,2)}}(z,q)=\sqrt{\tfrac{1}{2}\pi}g_{{\mathit{e},n}}(h)\mathop{\mathrm{ce}_{{n}}\/}\nolimits\!\left(0,q\right)\mathop{{\mathrm{Mc}^{{(3,4)}}_{{n}}}\/}\nolimits\!\left(z,h\right)$: notation used by Arscott (1964b), McLachlan (1947); ¶ ‣ §28.1
(with $\mathop{\mathrm{ce}_{{n}}\/}\nolimits\!\left(z,q\right)$ : Mathieu function and $\mathop{{\mathrm{Mc}^{{(j)}}_{{n}}}\/}\nolimits\!\left(z,h\right)$ : radial Mathieu function)
$\mod$: modulo; Common Notations and Definitions
$\mathop{{\mathrm{Ms}^{{(j)}}_{{n}}}\/}\nolimits\!\left(z,h\right)$: radial Mathieu function; (28.20.16)
$\mathop{\mu\/}\nolimits\!\left(n\right)$: Möbius function; (27.2.12)