The h(x)-Lucas quaternion polynomials
The h(x)-Lucas quaternion polynomials
Summary: In this paper, we study \(h(x)\)-Lucas quaternion polynomials considering several properties involving these polynomials and we present the exponential generating functions and the Poisson generating functions of the \(h(x)\)-Lucas quaternion polynomials. Also, by using Binet's formula we give the Cassini's identity, Catalan's identity and d'Ocagne's identity of the \(h(x)\)-Lucas quaternion polynomials.
- Sinop University Turkey
- Eszterházy Károly College Hungary
quaternion, recurrences, Lucas polynomials, Fibonacci and Lucas numbers and polynomials and generalizations, Recurrences, Quaternion and other division algebras: arithmetic, zeta functions
quaternion, recurrences, Lucas polynomials, Fibonacci and Lucas numbers and polynomials and generalizations, Recurrences, Quaternion and other division algebras: arithmetic, zeta functions
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!