Split complex bi-periodic Fibonacci and  Lucas numbers

Yılmaz, Nazmiye

doi:10.31801/cfsuasmas.704435

Cited by 7 publications

(7 citation statements)

References 16 publications

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“…• For the applications of Fibonacci and Lucas numbers to Split Complex Bi-Periodic numbers, see [23].…”

Section: Discussionmentioning

confidence: 99%

Generalized Friedrich Numbers

Soykan

2023

JAMCS

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In this paper, we define and investigate the generalized Friedrich sequences and we deal with, in detail, two special cases, namely, Friedrich and Friedrich-Lucas sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences. Furthermore, we show that there are close relationsbetween Friedrich, Friedrich-Lucas and third order Jacobsthal, modified third-order Jacobsthal, third order Jacobsthal-Lucas numbers.

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“…• For the applications of Fibonacci and Lucas numbers to Split Complex Bi-Periodic numbers, see [23].…”

Section: Discussionmentioning

confidence: 99%

Generalized Friedrich Numbers

Soykan

2023

JAMCS

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“…• For the applications of Fibonacci and Lucas numbers to Split Complex Bi-Periodic numbers, see [26].…”

Section: Discussionmentioning

confidence: 99%

A Study on Generalized Blaise Numbers

Soykan

2023

AJARR

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In this paper, we introduce and investigate the generalized Blaise sequences and we deal with, in detail, two special cases, namely, Blaise and Blaise-Lucas sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Furthermore, we show that there are close relations between Blaise, Blaise-Lucas and Jacobsthal-Padovan, Jacobsthal-Perrin, adjusted Jacobsthal-Padovan, modified Jacobsthal-Padovan numbers. Moreover, we give some identities and matrices related with these sequences.

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“…• For the applications of Fibonacci and Lucas numbers to Split Complex Bi-Periodic numbers, see [14].…”

Section: Discussionmentioning

confidence: 99%

A Study on the Norms of Toeplitz Matrices with the Generalized Mersenne Numbers

Aktas,

Soykan

2023

ACRI

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In this article presents findings related to Toeplitz matrices with Mersenne numbers. We started by creating Toeplitz matrices whose components are Mersenne numbers. We then calculated the Euclidian, row and column norms of these matrices and established both lower and upper bounds for their spectral norms. Additionally, we determined the upper bounds for the Frobenius and spectral norms of the Kronecker and Hadamard product matrices of the Toeplitz matrices with Mersenne numbers.

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Split complex bi-periodic Fibonacci and Lucas numbers

Cited by 7 publications

References 16 publications

Generalized Friedrich Numbers

Generalized Friedrich Numbers

A Study on Generalized Blaise Numbers

A Study on the Norms of Toeplitz Matrices with the Generalized Mersenne Numbers

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