MORE SUMMATION FORMULAS ON HYBRINOMIAL SEQUENCE OF VAN DER LAAN

İngilizce (OpenAlex)

Özdemir [1] introduced Hybrid numbers as a generalization of complex, hyperbolic and dual numbers. Hybrinomial sequence is the combination of hybrid numbers and polynomial sequence. In this paper we consider special kind of hybrinomial sequence, namely the Van Der Laan hybrinomial sequence. Binet-Like Formula, generating function and exponential generating function of this sequence are shown in this paper. Properties and some summation identities for Van Der Laan polynomial sequence and hybrinomial sequence are represented in this paper. In addition, some interesting summation identities of Van Der Laan hybrid numbers are obtained.