Chebyshev polynomials, a central class of orthogonal polynomials, have long been pivotal in numerical analysis, approximation theory and the solution of differential equations. Their inherent ...

In this paper, we use the algebraic manipulations and the properties of Chebyshev polynomials to obtain two interesting identities involving the power sums of the integral of the first kind Chebyshev ...

We provide polynomial identities which converge to the Rogers-Ramanujan identities. These identities naturally involve the partial products for the related infinite products. Hence Jacobi's triple ...

Polynomials is one of the most important chapters in the CBSE curriculum, carrying a weightage of around 5 marks in the board examination. This chapter focuses on the concepts of zeros of a polynomial ...