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case m=2

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1: 35.10 Methods of Computation
See Yan (1992) for the F 1 1 and F 1 2 functions of matrix argument in the case m = 2 , and Bingham et al. (1992) for Monte Carlo simulation on 𝐎 ( m ) applied to a generalization of the integral (35.5.8). …
2: 35.7 Gaussian Hypergeometric Function of Matrix Argument
Case m = 2
3: 16.17 Definition
There are three possible choices for L , illustrated in Figure 16.17.1 in the case m = 1 , n = 2 : …
4: 18.32 OP’s with Respect to Freud Weights
Of special interest are the cases Q ( x ) = x 2 m , m = 1 , 2 , , and the case Q ( x ) = 1 4 x 4 t x 2 ( t ), see §32.15. …
5: 29.3 Definitions and Basic Properties
They are denoted by a ν 2 m ( k 2 ) , a ν 2 m + 1 ( k 2 ) , b ν 2 m + 1 ( k 2 ) , b ν 2 m + 2 ( k 2 ) , where m = 0 , 1 , 2 , ; see Table 29.3.1. … For the special case k = k = 1 / 2 see Erdélyi et al. (1955, §15.5.2). … The quantity H = 2 a ν 2 m + 1 ( k 2 ) ν ( ν + 1 ) k 2 satisfies equation (29.3.10) with … The quantity H = 2 b ν 2 m + 2 ( k 2 ) ν ( ν + 1 ) k 2 satisfies equation (29.3.10) with … For m p , …
6: 15.8 Transformations of Variable
With m = 0 , 1 , 2 , , polynomial cases of (15.8.2)–(15.8.5) are given by …
7: 25.14 Lerch’s Transcendent
In the case that m is a positive integer we have the additional constraint a 1 , 2 , 3 , . …
8: 25.11 Hurwitz Zeta Function
For the more general case ζ ( m , a ) , m = 1 , 2 , , see Elizalde (1986). …
9: 22.21 Tables
Spenceley and Spenceley (1947) tabulates sn ( K x , k ) , cn ( K x , k ) , dn ( K x , k ) , am ( K x , k ) , ( K x , k ) for arcsin k = 1 ( 1 ) 89 and x = 0 ( 1 90 ) 1 to 12D, or 12 decimals of a radian in the case of am ( K x , k ) . Curtis (1964b) tabulates sn ( m K / n , k ) , cn ( m K / n , k ) , dn ( m K / n , k ) for n = 2 ( 1 ) 15 , m = 1 ( 1 ) n 1 , and q (not k ) = 0 ( .005 ) 0.35 to 20D. … 5 to 2. 2. … Zhang and Jin (1996, p. 678) tabulates sn ( K x , k ) , cn ( K x , k ) , dn ( K x , k ) for k = 1 4 , 1 2 and x = 0 ( .1 ) 4 to 7D. …
10: 29.6 Fourier Series
In the special case ν = 2 n , m = 0 , 1 , , n , there is a unique nontrivial solution with the property A 2 p = 0 , p = n + 1 , n + 2 , . …