2000 character limit reached
Identities and Generating Functions of Products of Generalized Fibonacci numbers, Catalan and Harmonic Numbers (2406.02937v1)
Published 5 Jun 2024 in math.CO
Abstract: We considered the properties of generalized Fibonacci and Lucas numbers class. The analogues of well-known Fibonacci identities for generalized numbers are obtained. We gained a new identity of product convolution of generalized Fibonacci and Lucas numbers. We wrote down generating functions of generalized Fibonacci and Lucas numbers products, their multisections, harmonic numbers and Catalan numbers.