KJSET Volume. 1, Issue 2 (2022)

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Contributor(s)

Ladan Umaru Ibrahim, Tanko Ishaya, Aliyu Nuhu Shuaibu, Ahmed Tijjani Salawudeen , Kabiru Ahmed
 

Keywords

summation notation integral power binomial coefficients differential operator factorial power of polynomial induction hypothesis
 

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An Exposition of Integral Powers of Polynomial with Binomial Coefficients

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)!
 
 
 

KIU Journal of Science, Engineering and Technology (KJSET) -- ISSN: 2958-0641, 2024