A Programmatic Approach to Arithmetic

Open research project on polynomial interpolation and approximation

Polynomial identity involving Binomial Theorem and Faulhaber's formula

A study on partial dynamic equation on time scales involving derivatives of polynomials

Odd-power identity via multiplication of certain matrices

On the link between binomial theorem and discrete convolution

This manuscript provides another approach to get derivative of odd-power, that is approach based on partial derivatives of polynomial function

In this manuscript, we start our discussion from the definition of central factorial numbers (both, recursive and iterative), continuing with a set of identities used further in this manuscript. Then, based on odd power identities given by Knuth, we show other variations of odd power identities applying derived previously identities

Differentiation is process of finding the derivative, or rate of change, of a function. Derivative itself is defined by the limit of function's change divided by the function's argument change as change tends to zero. In particular, for polynomials the function's change is calculated via Binomial expansion.

Typesetting (complex) polynomial long division

Eating the gap ovf Functional Equations and Polynomials in mathematical olympiads.

Материјали за предмет математика у седмом разреду у школској 2024/2025. години

Finding roots of polynomials.

A curiosity about Polynomial Interpolation

Polynomial identities involving Pascal's triangle rows

math from UCSB/Annapolis era