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⓪零点1/2±5⒤ℓ(ℓ+1)=4π⒤Γ(1+ℓ)

2021-08-04 09:51:39 | 日記
⓪零点1/2±5⒤ℓ(ℓ+1) ≌ℓ(ℓ+1)       ①零点1/2±4π⒤Γ(1+ℓ)  
An≌1+ℓ 1-An≌-ℓ An(1-An) 文献値 文/ℓ(ℓ+1) Γ(An) 4πΓ(An)
2.25 -1.25 2.8125 ~ 14.13472 5.025678 1.133 ~ 14.2377
2.75 -1.75 4.8125 ~ 21.02203 4.368214 1.60836 ~ 20.21125
3 -2 6 ~ 25.01085 4.168475 2 ~ 25.13274
3.2 -2.2 7.04 ~ 30.42487 4.321714 2.42397 ~ 30.46051
3.3 -2.3 7.59 ~ 32.93506 4.33927 2.68344 ~ 33.7211
3.4 -2.4 8.16 ~ 37.58617 4.606148 2.98121 ~ 37.46299
3.5 -2.5 8.75 ~ 40.91871 4.676424 3.32335 ~ 41.76245
3.55 -2.55 9.0525 ~ 43.32707 4.786199 3.51325 ~ 44.1488
3.6 -2.6 9.36 ~ 48.00515 5.128755 3.71702 ~ 46.70945
3.65 -2.65 9.6725 ~ 49.77383 5.145912 3.93576 ~ 49.45822
3.7 -2.7 9.99 ~ 52.97 5.302302 4.17065 ~ 52.40993
3.75 -2.75 10.3125 ~ 56.446 5.473552 4.42299 ~ 55.58093
3.8 -2.8 10.64 ~ 59.347 5.577726 4.69417 ~ 58.98868
3.85 -2.85 10.9725 ~ 60.831 5.543951 4.98573 ~ 62.65253
3.9 -2.9 11.31 ~ 65.112 5.757029 5.29933 ~ 66.59334