International Scholarly Research Notices

Research Article

Zeros of the Exceptional Laguerre and Jacobi Polynomials

Table 4

Same as Table 3 for L2 Laguerre polynomials with 𝑔 = 1 0 and ℓ = 5 .
𝜉 𝑘 ( ℓ ) :  −12.8111 − 1 2 . 2 1 1 5 ± 4 . 7 1 8 5 𝑖 − 1 0 . 1 3 2 9 ± 9 . 7 9 6 5 𝑖
  𝑛 = 0 −12.8111 − 1 2 . 2 1 1 5 ± 4 . 7 1 8 5 𝑖 − 1 0 . 1 3 2 9 ± 9 . 7 9 6 5 𝑖
 10 −12.5476 − 1 1 . 9 4 6 5 ± 4 . 6 6 3 9 𝑖 − 9 . 8 6 2 2 ± 9 . 6 7 8 0 𝑖
 20 −12.4210 − 1 1 . 8 1 9 8 ± 4 . 6 3 8 4 𝑖 − 9 . 7 3 4 8 ± 9 . 6 2 3 3 𝑖
𝜂 𝑘 ( ℓ , 𝑛 ) :30 −12.3430 − 1 1 . 7 4 1 8 ± 4 . 6 2 2 9 𝑖 − 9 . 6 5 7 0 ± 9 . 5 9 0 1 𝑖
 40 −12.2888 − 1 1 . 6 8 7 7 ± 4 . 6 1 2 2 𝑖 − 9 . 6 0 3 2 ± 9 . 5 6 7 3 𝑖
 50 −12.2483 − 1 1 . 6 4 7 3 ± 4 . 6 0 4 3 𝑖 − 9 . 5 6 3 2 ± 9 . 5 5 0 4 𝑖
 60 −12.2165 − 1 1 . 6 1 5 7 ± 4 . 5 9 8 1 𝑖 − 9 . 5 3 1 9 ± 9 . 5 3 7 2 𝑖
𝜉 𝑘 ( ℓ ) :  −11.8092 − 1 1 . 2 1 0 7 ± 4 . 5 1 9 5 𝑖 − 9 . 1 3 4 7 ± 9 . 3 7 0 2 𝑖