Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

The period polynomial rf (z) for an even weight k ≥ 4 newform f ∈ Sk (Γ₀ (N)) is the generating function for the critical values of L (f, s). It has a functional equation relating rf (z) to r f (− 1 ...

William Johnston, The Weighted Hermite Polynomials Form a Basis for L2 (ℝ), The American Mathematical Monthly, Vol. 121, No. 3 (March 2014), pp. 249-253 ...

Dividing and factorising polynomial expressions What is a polynomial? A polynomial is an algebraic expression involving many terms and can be factorised using long division or synthetic division.