Abstract
The gamma function, which has the property to interpolate the factorial whenever the argument is an integer, is a special case (the case g = 2) of the general term of the sequence factorial of g-gonal numbers. In relation to this special case, a formula for calculating the general term of the sequence factorial of any g-gonal number was obtained after considering some specific cases. Important properties on functional equations of g-gonal sequence factorials are derived.
Acknowledgements
The author is grateful to the referees for helpful comments and suggestions. This work has been financially supported in part by the management of the Federal Polytechnic, Bida, on the recommendations of its Research, Conferences and Publications Committee (RC&PC).