Multiplicative calculus, often referred to as non-Newtonian calculus, offers a transformative alternative to classical calculus by redefining differentiation and integration through the lens of ...

Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo, MULTIPLICATIVE RENORMALIZATION AND GENERATING FUNCTIONS I, Taiwanese Journal of Mathematics, Vol. 7, No. 1 (March 2003), pp. 89-101 ...

Inspired by Rearick's work on logarithm and exponential functions of arithmetic functions, we introduce two new operators, LOG and EXP. The LOG operates on generalized Fibonacci polynomials giving ...

Polynomial Ring: A set of polynomials with coefficients in a given ring or field which itself forms a ring under the usual operations of addition and multiplication.