Zeros of the Exceptional Laguerre and Jacobi Polynomials

Figure 8

J2: distributions of the zeros 𝜂^{𝑘(ℓ,𝑛)},𝜂^{𝑗(ℓ,𝑛)} (♦), 𝜉^𝑘(ℓ) (○), and 𝜉^𝑘(ℓ) (■) for the J2 Jacobi polynomials, with 𝑔=3, ℎ=4, and 𝑛=4. The four diagrams correspond to ℓ=1(a), 2(b), 3(c), and 20(d), respectively.

(a)

(b)

(c)

(d)