A New Class of Ordinary Generating Functions for Binary Products of Mersenne Numbers and Gaussian Numbers with Parameters $p$ and $q$
A New Class of Ordinary Generating Functions for Binary Products of Mersenne Numbers and Gaussian Numbers with Parameters $p$ and $q$
Based on the authors' abstract, in the paper under review, the authors use elementary techniques in number theory to derive some new generating functions for the products of several special numbers including \((p, q)\)-Fibonacci numbers, \((p; q)\)-modified Pell numbers, and \((p, q)\)-Jacobsthal Lucas numbers. Furthermore, they also give some new generating functions for the products of Mersenne and Gaussian numbers with parameters \(p\) and \(q\).
- Hasan Kalyoncu University Turkey
Mersenne numbers, generating functions, Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, Gaussian numbers
Mersenne numbers, generating functions, Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, Gaussian numbers
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