Function

Fourier

Logan

Valko

Stehfest

Salzer-Gaver

L

L_e

L

L_e

L

L_e

L

L_e

L

L_e

1

1.5 (−4)

2.8 (−4)

3.7 (−9)

1.2 (−11)

3.0 (−11)

9.4 (−14)

1.4 (−3)

2.6 (−5)

2.0 (−2)

9.1 (−4)

2

6.1 (−4)

1.4 (−4)

1.8 (−9)

2.7 (−10)

1.0 (−11)

3.9 (−14)

8.9 (−6)

8.9 (−6)

2.8 (−6)

3.2 (−6)

3

1.2 (−3)

1.2 (−3)

7.5 (−9)

2.3 (−11)

4.4 (−11)

1.4 (−13)

7.0 (−8)

7.1 (−8)

1.1 (−8)

1.1 (−8)

4

7.3 (−2)

8.4 (1.0)

7.4 (−9)

2.3 (−11)

4.8 (−11)

1.7 (−13)

5.4 (−8)

6.2 (−7)

2.8 (−6)

3.2 (−6)

5

6.8 (−2)

6.9 (−2)

4.1 (−11)

1.2 (−11)

6.4 (−12)

2.2 (−14)

2.2 (−8)

1.4 (−7)

2.3 (−5)

8.5 (−5)

6

6.1 (−4)

6.1 (−4)

7.5 (−9)

2.3 (−11)

6.5 (−11)

2.1 (−13)

0.0 (0)

0.0 (−)

8.7 (−15)

4.8 (−14)

7

2.8 (−4)

3.4 (−4)

Fail

Fail

Fail

Fail

1.9 (−2)

6.7 (−3)

1.7 (−2)

5.1 (−3)

8

Fail

Fail

1.2 (−8)

3.8 (−11)

8.1 (−11)

2.7 (−13)

9.2 (−8)

1.2 (−7)

6.3 (−4)

6.3 (−4)

9

5.7 (−4)

4.7 (−4)

4.6 (−9)

1.6 (−11)

3.3 (−11)

1.2 (−13)

1.2 (−6)

4.7 (−6)

1.9 (−8)

2.8 (−7)

10

6.1 (−4)

1.9 (−4)

3.1 (−9)

9.5 (−12)

3.0 (−11)

9.7 (−14)

9.2 (−3)

4.8 (−3)

5.2 (−4)

2.9 (−5)

11

2.8 (−4)

3.8 (−4)

5.9 (−9)

1.8 (−11)

3.4 (−11)

1.2 (−13)

7.4 (−3)

2.7 (−3)

6.5 (−3)

1.9 (−3)