j. inst. sci. and tech. Journal of the Institute of Science and Technology 2536-4618 Igdir University 10.21597/jist.1207287 Mathematical Sciences Matematik The Complex-type Narayana-Fibonacci Numbers The Complex-type Narayana-Fibonacci Numbers https://orcid.org/0000-0001-7168-8429 Aküzüm Yeşim Kafkas University 03 01 2023 13 1 563 571 11 19 2022 12 19 2022 Copyright © 2011, Journal of the Institute of Science and Technology 2011 Journal of the Institute of Science and Technology

In this paper, the complex-type Narayana-Fibonacci numbers are defined. Additionally, we arrive at correlations between the complex-type Narayana-Fibonacci numbers and this generating matrix after deriving the generating matrix for these numbers. Eventually, we get their the Binet formula, the combinatorial, permanental, determinantal, exponential representations, and the sums by matrix methods are just a few examples of numerous features.

In this paper, the complex-type Narayana-Fibonacci numbers are defined. Additionally, we arrive at correlations between the complex-type Narayana-Fibonacci numbers and this generating matrix after deriving the generating matrix for these numbers. Eventually, we get their the Binet formula, the combinatorial, permanental, determinantal, exponential representations, and the sums by matrix methods are just a few examples of numerous features.

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