Relations between generalized bi-periodic Fibonacci and Lucas sequences

Y Choo - Mathematics, 2020 - mdpi.com
In this paper we consider a generalized bi-periodic Fibonacci {fn} and a generalized bi-
periodic Lucas sequence {qn} which are respectively defined by f 0= 0, f 1= 1, fn= afn− 1+ …

On some identities and Hankel matrices norms involving new defined generalized modified pell numbers

GÖ Kızılırmak - Journal of New Results in Science, 2021 - dergipark.org.tr
The aim of this paper is to introduce a generalization of Modified Pell numbers. Some
identities about this new sequence are obtained and also investigated some relationships …

On the Bi-Periodic Mersenne Sequence

GÖ Kızılırmak, D Taşçı - Fundamental Journal of Mathematics and … - dergipark.org.tr
In this paper, the bi-periodic Mersenne sequence, which is a generalization of the Mersenne
sequence, is defined. The characteristic function, generating function and Binet's formula for …

[PDF][PDF] GENERALIZED BI-PERIODIC BALANCING NUMBERS

S SRIRAM, P VEERAMALLAN - 2022 - mililink.com
Balancing numbers is a natural number n, which satisfies the Diophantine equation()()()() rn
nn n++++++=-+++.. 2 1 1 21 where r is called balancer. A. Behara and GK Panda [1] …