A. M. Ibrahim

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 19, 2013, Number 2, Pages 30—42

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## Details

### Authors and affiliations

A. M. Ibrahim

*Department of Mathematics,
Ahmadu Bello University, Zaria, Nigeria
*

### Abstract

This paper present a comparative study of the various types of positive factorial functions, among which include the conventional factorial, double factorial, quadruple factorial, superfactorial and hyperfactorial. Subsequently, an extension of the concepts of positive *n*! to negative numbers –*n*! is introduced. Based on this extension, a formulation of specific generalization cases for different forms of negative factorials are analyzed and presented.

### Keywords

- Factorial
- Negative factorial
- Conventional factorials
- Factorial functions

### References

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*Engineering Mathematics (with additions by Dexter J. Booth), 5**th**ed.*, pp. 271–274. - Polynomial Factorials Negative,
*Ken Ward’s Mathematics Pages*, http://www.trans4mind.com/personal_development/mathematics/series/polynomialFactorialNegative.html [accessed, 2012]. - Brown, P., On the Complex of Calculating Factorials.
*Journal of Algorithm*Vol. 6, 1985, 376–380. - Factorial,
*Wikipedia,*http://en.wikipedia.org/wiki/Factorial [accessed, 2012]. - Borwein, J., R. Corless, The Encyclopedia of Integer Sequences (N. J. A. Sloane and Simon Plouffe).
*SIAM Review*, Vol. 38, 1996, No. 2: 333–337. doi:101137/1038058.

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## Cite this paper

APAIbrahim, A. M. (2013). Extension of factorial concept to negative numbers. Notes on Number Theory and Discrete Mathematics, 19(2), 30-42.

ChicagoIbrahim, AM. “Extension of Factorial Concept to Negative Numbers.” Notes on Number Theory and Discrete Mathematics 19, no. 2 (2013): 30-42.

MLAIbrahim, AM. “Extension of Factorial Concept to Negative Numbers.” Notes on Number Theory and Discrete Mathematics 19.2 (2013): 30-42. Print.