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Notations K

*ABCDEFGHIJ♦K♦LMNOPQRSTUVWXYZ
K ( α ) = K ( k )
notation used by Abramowitz and Stegun (1964, Chapter 17); §19.1
(with K(k): Legendre’s complete elliptic integral of the first kind)
K ( k )
Legendre’s complete elliptic integral of the first kind; 19.2.8
κ ( λ )
condition number; §3.2(v)
K ν ( z )
modified Bessel function of the second kind; 10.25.3
K ~ ν ( x )
modified Bessel function fo the second kind of imaginary order; 10.45.2
𝒦 ν ( T ) = | T | ν B ν ( S T )
notation used by Faraut and Korányi (1994, pp. 357–358); §35.1
(with Bν(T): Bessel function of matrix argument (second kind))
K ν ( z )
Struve function; 11.2.5
K ν ( z ) = cos ( ν π ) K ν ( z )
notation used by Whittaker and Watson (1927); §10.1
(with cosz: cosine function and Kν(z): modified Bessel function of the second kind)
k n ( z )
modified spherical Bessel function; 10.47.9
K ( k )
Legendre’s complementary complete elliptic integral of the first kind; 19.2.9
𝔎 ( a , x , s ) = Φ ( e 2 π i x , s , a )
notation used by (Lerch, 1887); §25.14(i)
(with Φ(z,s,a): Lerch’s transcendent and e: base of exponential function)
K n ( x ; p , N )
Krawtchouk polynomial; Table 18.19.1
K m ( 0 , , 0 , ν | S , T ) = | T | ν B ν ( S T )
notation used by Terras (1988, pp. 49–64); §35.1
(with Bν(T): Bessel function of matrix argument (second kind))
Ke n ( z , h )
modified Mathieu function; 28.20.19
kei ν ( x )
Kelvin function; 10.61.2
ker ν ( x )
Kelvin function; 10.61.2
Kh ν ( z ) = ( 2 / π ) K ν ( z )
notation used by Jeffreys and Jeffreys (1956); §10.1
(with Kν(z): modified Bessel function of the second kind)
Ki α ( x )
Bickley function; 10.43.11
Ko n ( z , h )
modified Mathieu function; 28.20.20