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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
M ν ( x )
modulus of Bessel functions; 10.18.1
M ν ( z )
modified Struve function; 11.2.6
κ , μ = M κ , μ ( z ) / Γ ( 1 + 2 μ )
notation used by Buchholz (1969); §13.1
(with Γ(z): gamma function and Mκ,μ(z): Whittaker confluent hypergeometric function)
M κ , 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
M ν ( 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
M n ( x ; β , c )
Meixner polynomial; Table 18.19.1
maj
major index; §26.14(i)
Mc n ( j ) ( z , h )
radial Mathieu function; 28.20.15
Me ν ( z , q )
modified Mathieu function; 28.20.5
me ν ( z , q )
Mathieu function of noninteger order; §28.12(ii)
me n ( z , q )
Mathieu function; §28.12(ii)
Me n ( 1 , 2 ) ( z , q ) = 1 2 π g e , n ( h ) ce n ( 0 , q ) Mc n ( 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
Ms n ( j ) ( z , h )
radial Mathieu function; 28.20.16
μ ( n )
Möbius function; 27.2.12