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Notations Q

*ABCDEFGHIJKLMNOP♦Q♦RSTUVWXYZ
set of all rational numbers; Common Notations and Definitions
Q(z)=12erfc(z/2)
alternative notation for the complementary error function; 7.1
(with erfcz: complementary error function)
Qz(a)=Γ(a,z)
notation used by Batchelder (1967, p. 63); 8.1
(with Γ(a,z): incomplete gamma function)
Qν(x): Qνμ(x) with μ=0
; 14.1
Qν(x): Qνμ(x) with μ=0
; 14.3(i)
Qn(x;α,β,N)
Hahn polynomial; 18.19.1
Qν(z): Qνμ(z) with μ=0
; 14.1
Qν(z): Qνμ(z) with μ=0
; 14.21(i)
Qν(z): Qνμ(z) with μ=0
; 14.3(ii)
Qνμ(x)=Qνμ(x)
notation used by Erdélyi et al. (1953a), Olver (1997b); 14.1
(with Qνμ(x): Ferrers function of the second kind)
Qνμ(x)
Ferrers function of the second kind; (14.3.2)
Qνμ(z)
associated Legendre function of the second kind; 14.21(i)
Qνμ(z)
associated Legendre function of the second kind; (14.3.7)
Qνμ(x)=Qνμ(x)
notation used by Magnus et al. (1966); 14.1
(with Qνμ(x): Ferrers function of the second kind)
𝔔νμ(z)=Qνμ(z)
notation used by Magnus et al. (1966); 14.1
(with Qνμ(z): associated Legendre function of the second kind)
Qνμ(z)
Olver’s associated Legendre function; 14.21(i)
Qνμ(z)
Olver’s associated Legendre function; (14.3.10)
Q^-12+iτ-μ(x)
conical function; (14.20.2)
Q(a,z)
normalized incomplete gamma function; (8.2.4)
Q(ϵ,r)=-(2+1)!h(ϵ,;r)/(2+1A(ϵ,))
notation used by Curtis (1964a); Curtis (1964a):
(with h(ϵ,;r): irregular Coulomb function and !: n!: factorial)
Qn(x;a,b| q)
Al-Salam–Chihara polynomial; (18.28.7)
Qn(x;a,b| q-1)
q-1-Al-Salam–Chihara polynomial; (18.28.9)
Qn(x;α,β,N;q)
q-Hahn polynomial; (18.27.3)
Qsnm(z,γ2)
spheroidal wave function of complex argument; 30.6
Qsnm(z,γ2)=Qsnm(z,γ2)
notation used by Meixner and Schäfke (1954) for the spheroidal wave function of complex argument; 30.1
(with Qsnm(z,γ2): spheroidal wave function of complex argument)
Qsnm(x,γ2)
spheroidal wave function of the second kind; 30.5
qsnm(x,γ2)=Qsnm(x,γ2)
notation used by Meixner and Schäfke (1954) for the spheroidal wave function of the second kind; 30.1
(with Qsnm(x,γ2): spheroidal wave function of the second kind)