International Scholarly Research Notices

Research Article

Zeros of the Exceptional Laguerre and Jacobi Polynomials

Table 5

Same as Table 1 but for J2 Jacobi polynomials with 𝑔 = 3 , ℎ = 4 , and ℓ = 4 .
𝜉 𝑘 ( ℓ ) :  1 . 5 6 8 4 6 ± 2 . 1 0 2 7 8 𝑖 3 . 0 0 2 9 7 ± 0 . 9 1 1 9 9 𝑖
  𝑛 = 0 1 . 5 6 8 4 6 ± 2 . 1 0 2 7 8 𝑖    3 . 0 0 2 9 7 ± 0 . 9 1 1 9 9 𝑖
 10 1 . 4 5 2 0 1 ± 1 . 8 9 8 9 0 𝑖 2 . 7 6 8 3 4 ± 0 . 8 2 6 2 6 𝑖
 20 1 . 4 2 4 0 7 ± 1 . 8 5 4 3 3 𝑖 2 . 7 1 3 6 0 ± 0 . 8 0 7 3 3 𝑖
𝜂 𝑘 ( ℓ , 𝑛 ) :30    1 . 4 1 1 3 9 ± 1 . 8 3 4 3 5 𝑖      2 . 6 8 8 8 2 ± 0 . 7 9 8 8 4 𝑖   
 40 1 . 4 0 4 1 4 ± 1 . 8 2 2 9 7 𝑖 2 . 6 7 4 6 6 ± 0 . 7 9 4 0 1 𝑖
 50 1 . 3 9 9 4 4 ± 1 . 8 1 5 6 1 𝑖 2 . 6 6 5 5 0 ± 0 . 7 9 0 8 8 𝑖
 60 1 . 3 9 6 1 5 ± 1 . 8 1 0 4 6 𝑖 2 . 6 5 9 0 7 ± 0 . 7 8 8 6 9 𝑖
𝜉 𝑘 ( ℓ ) :    1 . 3 7 7 4 5 ± 1 . 7 8 1 1 8 𝑖      2 . 6 2 2 5 5 ± 0 . 7 7 6 2 4 𝑖