Digital Library of Mathematical Functions
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NIST
Notations

Notations M

*ABCDEFGHIJKL♦M♦NOPQRSTUVWXYZ
M(z)
Airy modulus function; 9.8(i)
M(x)
Mills’ ratio; (7.8.1)
M(n)
Motzkin number; (26.6.2)
Mν(x)
modulus of Bessel functions; (10.18.1)
Mν(z)
modified Struve function; (11.2.6)
Γ(1+2μ)κ,μ=Mκ,μ(z)
notation used by Buchholz (1969); 13.1
(with Mκ,μ(z): Whittaker confluent hypergeometric function)
Mκ,μ(z)
Whittaker confluent hypergeometric function; (13.14.2)
M(a,g)
arithmetic-geometric mean; 19.8(i)
(f;s)
Mellin transform; (1.14.32)
M(η,ρ)
envelope of Coulomb functions; (33.3.1)
Mν(j)(z,h)
modified Mathieu function; 28.20(iii)
M(a,b,z)
Kummer confluent hypergeometric function; (13.2.2)
M(a,b,z)
Olver’s confluent hypergeometric function; (13.2.3)
Mn(x;β,c)
Meixner polynomial; 18.19.1
maj
major index; 26.14(i)
Mcn(j)(z,h)
radial Mathieu function; (28.20.15)
Meν(z,q)
modified Mathieu function; (28.20.5)
meν(z,q)
Mathieu function of noninteger order; 28.12(ii)
men(z,q)
Mathieu function; 28.12(ii)
Men(1,2)(z,q)=12πge,n(h)cen(0,q)Mcn(3,4)(z,h)
notation used by Arscott (1964b), McLachlan (1947); 28.1
(with cen(z,q): Mathieu function and Mcn(j)(z,h): radial Mathieu function)
mod
modulo; Common Notations and Definitions
Msn(j)(z,h)
radial Mathieu function; (28.20.16)
μ(n)
Möbius function; (27.2.12)