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Dear Prof Randy

http://en.wikipedia.org/wiki/Factorial

http://en.wikipedia.org/wiki/Mathematical_constant

Is it possible to compute the factorial for the following ?.

1. Surd

2. Complex number

3. Decimal number

4. trigonometric function sin, tan, cosec etc

5. mathematical constant

Can factorial inverse of a number can be defined with a new mathematical symbol ?.

Awaiting our reply,

Thanks & Regards,

Prashant S Akerkar

If you use the definition of a factorial as a gamma function, then non-integer real and complex numbers can be represented. Note that the factorial n! arises from integrating the gamma function by parts, which gives a repeating expression

Γ(n+1) = nΓ(n).

If you could find such a repeating representation using a trigonometric function, then I guess you could consider it a factorial representation.

Good luck!

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Comment | Dear Prof Randy Thank you. Thanks & Regards, Prashant S Akerkar |

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