An Exposition of Integral Powers of Polynomial with Binomial Coefficients
Article Abstract
This article exposed the disposition of powers of a polynomial function with binomial coefficients. The relationship was established by the deft deployment of summation notation, combinatorial techniques, and differential operators. The result of the investigation shows clearly that the disposition of integrals powers of polynomials with binomial coefficients generates even positive integer factorial values (2k)!
Indexed Terms
summation notation
integral power
binomial coefficients
differential operator
factorial power of polynomial induction hypothesis
Full Text
Citation
How to Cite this Article
Ladan Umaru Ibrahim, Tanko Ishaya, Aliyu Nuhu Shuaibu, Ahmed Tijjani Salawudeen, Kabiru Ahmed. "An Exposition of Integral Powers of Polynomial with Binomial Coefficients." KIU Journal of Science, Engineering and Technology , vol. 1 , no. 2 , 2022 , pp. 18-25