A Study on Horadam Hybrid Numbers
Tuncay Deniz Şentürk, Göksal Bilgici, Ahmet Daşdemir, Zafer Ünal
Abstract
In this paper, we study Horadam hybrid numbers. For these numbers, we give the exponential generating function, Poisson generating function, generating matrix, Vajda's, Catalan's, Cassini's, and d'Ocagne's identities. In addition, we offer Honsberger formula, general bilinear formula, and some summation formulas for these numbers.
Topics & Concepts
Catalan numberMathematicsGenerating functionExponential functionPoisson summation formulaFunction (biology)Bilinear interpolationPoisson distributionMatrix (chemical analysis)Pure mathematicsCombinatoricsDiscrete mathematicsMathematical analysisStatisticsBiologyMaterials scienceComposite materialFourier transformEvolutionary biologyAdvanced Mathematical Theories and ApplicationsAdvanced Mathematical TheoriesNonlinear Waves and Solitons