Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

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 ...

Mathematical methods and special functions have long served as the backbone of modern theoretical physics and applied mathematics. These tools enable researchers to solve complex differential ...

In an isomorphic copy of the ring of symmetric polynomials we study some families of polynomials which are indexed by rational weight vectors. These families include well known symmetric polynomials, ...

The Handbook of Mathematical Functions by Milton Abramovich and Irene Stegun is the one book I would wish to have on a desert island. Unlike a novel, it withstands infinities of rereadings. Its ...