Binomial Transforms of Generalized Fibonacci-Like Sequences

Taşyurdu, Yasemin

doi:10.14445/22315373/ijmtt-v64p509

IJMTT

2018

DOI: 10.14445/22315373/ijmtt-v64p509

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Binomial Transforms of Generalized Fibonacci-Like Sequences

Yasemin Taşyurdu¹

Abstract: In this study, we apply binomial transforms to generalized Fibonacci-Like sequences associated with Fibonacci and Lucas sequences. We obtain the Binet formulas and generating functions of these transforms. Also, we introduce an infinite triangle consist of the terms of generalized Fibonacci-Like sequences and their binomial transforms.

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2024

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Cited by 2 publications

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The Properties of Binomial Transforms for Modified (s,t)-Pell Matrix Sequence

Uygun,

Haklıdır

2024

Communications in Advanced Mathematical Sciences

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In this study we investigate a generalization of modified Pell sequence, which is called (s,t)-modified Pell sequence. By considering this sequence, we define the matrix sequence whose elements are (s,t)-modified Pell numbers. Furthermore, we define various binomial transforms for modified (s,t)-Pell matrix sequence. Finally, we give some relationships for (s,t)-modified Pell matrix sequences such as Binet formulas, the generating functions and some sum formulas...

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The Properties of Binomial Transforms for Modified (s,t)-Pell Matrix Sequence

Uygun,

Haklıdır

2024

Communications in Advanced Mathematical Sciences

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H-Nacci Sequence and Its Role in Virus Mutation

Alhazmi,

Venchislas,

Gnanamuthu

et al. 2024

Mathematics

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In this research, we proposed a new concept called as the H-Nacci sequence. The H-Nacci sequence (Fibonacci sequences of length h) is a collection of numbers developed from the coefficients of the generalized m-th Fibonacci equation. After that, we determined the golden ratio for each type of H-Nacci sequence, which also coincided with an existing Fibonacci sequence. As each Fibonacci sequence has a unique advantage, first of all, we have applied the H-Nacci sequence to the virus mutation process to show the key benefits of the H-Nacci sequence, and then we found the Fibonacci risk model to analyze the risk factor of each mutant virus using the H-Nacci sequence.

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Binomial Transforms of Generalized Fibonacci-Like Sequences

Cited by 2 publications

References 4 publications

The Properties of Binomial Transforms for Modified (s,t)-Pell Matrix Sequence

The Properties of Binomial Transforms for Modified (s,t)-Pell Matrix Sequence

H-Nacci Sequence and Its Role in Virus Mutation

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