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Table 3 Complex factorials of some real negative numbers

From: Factorials of real negative and imaginary numbers - A new perspective

 

Real

Imaginary

Modulus

Im/Re

z

Complex factorial of (-z)

0

1

0

1

0

0.25

0.640

0.640i

0.906

1

0.5

0

0.886i

0.886

Comp Inf

0.75

-0.649

0.649i

0.919

-1

1

-1

0

1

0

1.25

-0.801

-0.801i

1.133

1

1.5

0

-1.329i

1.329

Comp Inf

1.75

1.137

-1.137i

1.608

-1

2

2

0

2

0

2.25

1.802

1.802i

2.549

1

2.5

0

3.323i

3.323

Comp Inf

2.75

-3.127

3.127i

4.422

-1

3

-6

0

6

0