Konu Başlıkları golden ratio
170409

On the Fibonacci quaternion sequence with quadruple-produce components

Dişkaya, Orhan | Menken, Hamza

This paper examines the Fibonacci quaternion sequence with quadruple-produce components, and demonstrates a golden-like ra- tio and some identities for this sequence. Its generating and exponential generating functions are given. Along with these, its series and binomial sum formula are established.

170411

SOME PROPERTIES OF THE PLASTIC CONSTANT

Dişkaya, Orhan | Menken, Hamza

In this article, we construct the plastic number in the three-dimensional space. We examine the nested radicals and continued fraction expansions of the plastic ratio. In addition, we give some properties and geometric interpretations of the plastic constant.