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Notations J

*ABCDEFGHI♦J♦KLMNOPQRSTUVWXYZ
j ν , m
zeros of the Bessel function Jν(x); §10.21(i)
j ν , m
zeros of the Bessel function derivative Jν(x); §10.21(i)
J ( τ )
Klein’s complete invariant; 23.15.7
J ν ( z )
Anger function; 11.10.1
J ν ( z )
Bessel function of the first kind; 10.2.2
J ~ ν ( x )
Bessel function of imaginary order; 10.24.2
𝒥 ν + 1 2 ( m + 1 ) ( T ) = A ν ( T ) / A ν ( 0 )
notation used by Faraut and Korányi (1994, pp. 320–329); §35.1
(with Aν(T): Bessel function of matrix argument (first kind))
J k ( n )
Jordan’s function; 27.2.11
j n ( z ) = j n ( z )
notation used by Abramowitz and Stegun (1964); §10.1
(with jn(z): spherical Bessel function of the first kind)
j n ( z )
spherical Bessel function of the first kind; 10.47.3
jn n ( z , q ) = ge n ( z , q )
notation used by Campbell (1955); §28.1
(with gen(z,q): second solution, Mathieu’s equation)
jnh n ( z , q ) = Ge n ( z , q )
notation used by Campbell (1955); §28.1
(with Gen(z,q): modified Mathieu function)