Table 1: List of the zeros 𝜉 𝑘 ( ) , 𝜉 𝑘 ( ) , and 𝜂 𝑘 ( , 𝑛 ) for the L1 Laguerre polynomials with 𝑔 = 2 , = 5 , and 𝑛 = 0 , 1 0 , 2 0 , , 6 0 ( 𝑘 = 1 , 2 , , ). It can be seen that when 𝑛 = 0 , 𝜂 𝑘 ( , 𝑛 = 0 ) = 𝜉 𝑘 ( ) . As 𝑛 increases, 𝜂 𝑘 ( , 𝑛 ) approaches to 𝜉 𝑘 ( ) .

𝜉 𝑘 ( ) : −22.4802 −15.2391 −10.1403 −6.2977 −3.3427

𝑛 = 0 −22.4802 −15.2391 −10.1403 −6.2977 −3.3427
10 −22.0686 −14.8767 −9.8314 −6.0505 −3.1698
20 −21.8830 −14.7189 −9.7004 −5.9469 −3.0962
𝜂 𝑘 ( , 𝑛 ) : 30 −21.7717 −14.6253 −9.6233 −5.8862 −3.0529
40 −21.6954 −14.5617 −9.5711 −5.8452 −3.0237
50 −21.6390 −14.5148 −9.5327 −5.8152 −3.0022
60 −21.5951 −14.4784 −9.5030 −5.7919 −2.9856

𝜉 𝑘 ( ) : −21.0456 −14.0274 −9.1375 −5.5071 −2.7824