On complex Leonardo numbers
Adnan Karataş
Abstract
In this study, we introduce the complex Leonardo numbers and give some of their properties including Binet formula, generating function, Cassini and d’Ocagne’s identities. Also, we calculate summation formulas for complex Leonardo numbers involving complex Fibonacci and Lucas numbers.
Topics & Concepts
Fibonacci numberLucas numberGenerating functionMathematicsFibonacci polynomialsFunction (biology)Lucas sequenceCombinatoricsDiscrete mathematicsArithmeticEvolutionary biologyBiologyOrthogonal polynomialsDifference polynomialsAdvanced Mathematical Theories and ApplicationsAdvanced Mathematical TheoriesHistorical Astronomy and Related Studies