Research Article

Zeros of the Exceptional Laguerre and Jacobi Polynomials

Table 6

Same as Table 5 for J2 Jacobi polynomials with 𝑔 = 3 , = 4 , and = 5 .

𝜉 𝑘 ( ) : 1 . 1 9 1 8 8 ± 1 . 8 5 2 5 6 𝑖      2 . 3 8 8 5 1 ± 1 . 2 1 4 1 6 𝑖    2.83923

𝑛 = 0    1 . 1 9 1 8 8 ± 1 . 8 5 2 5 6 𝑖      2 . 3 8 8 5 1 ± 1 . 2 1 4 1 6 𝑖    2.83923
10    1 . 1 1 8 5 6 ± 1 . 6 8 6 6 0 𝑖      2 . 2 2 9 7 9 ± 1 . 1 1 0 2 1 𝑖    2.64753
20    1 . 0 9 9 3 6 ± 1 . 6 4 8 5 1 𝑖      2 . 1 8 9 9 8 ± 1 . 0 8 6 0 0 𝑖    2.59983
𝜂 𝑘 ( , 𝑛 ) : 30    1 . 0 9 0 4 1 ± 1 . 6 3 1 1 0 𝑖      2 . 1 7 1 5 1 ± 1 . 0 7 4 9 1 𝑖    2.57771
40    1 . 0 8 5 2 2 ± 1 . 6 2 1 0 6 𝑖      2 . 1 6 0 8 1 ± 1 . 0 6 8 5 2 𝑖    2.56490
50    1 . 0 8 1 8 4 ± 1 . 6 1 4 5 3 𝑖      2 . 1 5 3 8 2 ± 1 . 0 6 4 3 6 𝑖    2.55654
60    1 . 0 7 9 4 5 ± 1 . 6 0 9 9 3 𝑖      2 . 1 4 8 9 0 ± 1 . 0 6 1 4 3 𝑖    2.55066

𝜉 𝑘 ( ) :   1 . 0 6 5 6 6 ± 1 . 5 8 3 3 9 𝑖      2 . 1 2 0 4 7 ± 1 . 0 4 4 5 2 𝑖    2.51663