Digital Library of Mathematical Functions
About the Project
NIST
Notations

Notations J

*ABCDEFGHI♦J♦KLMNOPQRSTUVWXYZ
jν,m
zeros of the Bessel function Jν(x); 10.21(i)
jν,m
zeros of the Bessel function derivative Jν(x); 10.21(i)
J(τ)
Klein’s complete invariant; (23.15.7)
Jν(z)
Anger function; (11.10.1)
Jν(z)
Bessel function of the first kind; (10.2.2)
J~ν(x)
Bessel function of imaginary order; (10.24.2)
𝒥ν+12(m+1)(T)=Aν(T)/Aν(0)
notation used by Faraut and Korányi (1994, pp. 320–329); 35.1
(with Aν(T): Bessel function of matrix argument (first kind))
Jk(n)
Jordan’s function; (27.2.11)
jn(z)=jn(z)
notation used by Abramowitz and Stegun (1964); 10.1
(with jn(z): spherical Bessel function of the first kind)
jn(z)
spherical Bessel function of the first kind; (10.47.3)
jnn(z,q)=gen(z,q)
notation used by Campbell (1955); 28.1
(with gen(z,q): second solution, Mathieu’s equation)
jnhn(z,q)=Gen(z,q)
notation used by Campbell (1955); 28.1
(with Gen(z,q): modified Mathieu function)