In this paper, we derive some new symmetric properties of 𝑘-Fibonacci numbers by making use of symmetrizing operator. We also give some new generating functions for the products of some special ...

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 ...

As technology continues to advance, scientists and engineers are constantly searching for more efficient and effective ways to create new materials and devices. One increasingly popular method is self ...