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 ...

strong>Summary: Many of us have had to deal with application crashes that are hard or impossible to reproduce, especially at software developers’ sites. Yet it can be difficult to fix the problem ...