Younseok Choo

Current Organizations / Institutes

The organizations/institutes from the scholar's latest article

Hongik University

Research Subjects

Mathematical Theory

Research Interests

Younseok Choo has a total of 1 co-authors. Here are the top co-authors by number of shared publications:

Ginkyu Choi
Department of Electronic and Electrical Engineering, College of Science and Technology, Hongik University, Sejong 30016, Korea
1 shared publication

Latest Publications

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Open Access
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Cited by 3
- 10 February 2021
- Published by MDPI AG in Mathematics
On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers
by Younseok Choo
Recently Panda et al. obtained some identities for the reciprocal sums of balancing and Lucas-balancing numbers. In this paper, we derive general identities related to reciprocal sums of products of two balancing numbers, products of two Lucas-balancing numbers and products of balancing and Lucas-balancing numbers. The method of this paper can also be applied to even-indexed and odd-indexed Fibonacci, Lucas, Pell and Pell–Lucas numbers.
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- 10 February 2021
- Published by MDPI AG in Mathematics
Open Access
On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers
by Younseok Choo
Recently Panda et al. obtained some identities for the reciprocal sums of balancing and Lucas-balancing numbers. In this paper, we derive general identities related to reciprocal sums of products of two balancing numbers, products of two Lucas-balancing numbers and products of balancing and Lucas-balancing numbers. The method of this paper can also be applied to even-indexed and odd-indexed Fibonacci, Lucas, Pell and Pell–Lucas numbers.
Cited by 3
Open Access
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Cited by 3
- 17 January 2021
- Published by MDPI AG in Mathematics
On the Reciprocal Sums of Products of Two Generalized Bi-Periodic Fibonacci Numbers
by Younseok Choo
This paper concerns the properties of the generalized bi-periodic Fibonacci numbers ${G_{n}}$ generated from the recurrence relation: $G_{n} = a G_{n - 1} + G_{n - 2}$ (n is even) or $G_{n} = b G_{n - 1} + G_{n - 2}$ (n is odd). We derive general identities for the reciprocal sums of products of two generalized bi-periodic Fibonacci numbers. More precisely, we obtain formulas for the integer parts of the numbers ${(\sum_{k = n}^{\infty} \frac{{(a / b)}^{ξ (k + 1)}}{G_{k} G_{k + m}})}^{- 1}, m = 0, 2, 4, \dots,$ and ${(\sum_{k = n}^{\infty} \frac{1}{G_{k} G_{k + m}})}^{- 1}, m = 1, 3, 5, \dots .$
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- 17 January 2021
- Published by MDPI AG in Mathematics
Open Access
On the Reciprocal Sums of Products of Two Generalized Bi-Periodic Fibonacci Numbers
by Younseok Choo
This paper concerns the properties of the generalized bi-periodic Fibonacci numbers ${G_{n}}$ generated from the recurrence relation: $G_{n} = a G_{n - 1} + G_{n - 2}$ (n is even) or $G_{n} = b G_{n - 1} + G_{n - 2}$ (n is odd). We derive general identities for the reciprocal sums of products of two generalized bi-periodic Fibonacci numbers. More precisely, we obtain formulas for the integer parts of the numbers ${(\sum_{k = n}^{\infty} \frac{{(a / b)}^{ξ (k + 1)}}{G_{k} G_{k + m}})}^{- 1}, m = 0, 2, 4, \dots,$ and ${(\sum_{k = n}^{\infty} \frac{1}{G_{k} G_{k + m}})}^{- 1}, m = 1, 3, 5, \dots .$
Cited by 3
Open Access
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Cited by 8
- 7 September 2020
- Published by MDPI AG in Mathematics
Relations between Generalized Bi-Periodic Fibonacci and Lucas Sequences
by Younseok Choo
In this paper we consider a generalized bi-periodic Fibonacci ${f_{n}}$ and a generalized bi-periodic Lucas sequence ${q_{n}}$ which are respectively defined by $f_{0} = 0$ , $f_{1} = 1$ , $f_{n} = a f_{n - 1} + c f_{n - 2}$ (n is even) or $f_{n} = b f_{n - 1} + c f_{n - 2}$ (n is odd), and $q_{0} = 2 d$ , $q_{1} = a d$ , $q_{n} = b q_{n - 1} + c q_{n - 2}$ (n is even) or $q_{n} = a f_{n - 1} + c q_{n - 2}$ (n is odd). We obtain various relations between these two sequences.
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- 7 September 2020
- Published by MDPI AG in Mathematics
Open Access
Relations between Generalized Bi-Periodic Fibonacci and Lucas Sequences
by Younseok Choo
In this paper we consider a generalized bi-periodic Fibonacci ${f_{n}}$ and a generalized bi-periodic Lucas sequence ${q_{n}}$ which are respectively defined by $f_{0} = 0$ , $f_{1} = 1$ , $f_{n} = a f_{n - 1} + c f_{n - 2}$ (n is even) or $f_{n} = b f_{n - 1} + c f_{n - 2}$ (n is odd), and $q_{0} = 2 d$ , $q_{1} = a d$ , $q_{n} = b q_{n - 1} + c q_{n - 2}$ (n is even) or $q_{n} = a f_{n - 1} + c q_{n - 2}$ (n is odd). We obtain various relations between these two sequences.
Cited by 8
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- 1 January 2019
- Published by Mathematical Notes in Miskolc Mathematical Notes
On the generalized bi-periodic Fibonacci and Lucas quaternions
by Younseok Choo
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- 1 January 2019
- Published by Mathematical Notes in Miskolc Mathematical Notes
On the generalized bi-periodic Fibonacci and Lucas quaternions
by Younseok Choo
Open Access
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Cited by 13
- 1 January 2018
- Published by National Library of Serbia in Filomat
On the reciprocal sums of products of Fibonacci and Lucas numbers
by Ginkyu Choi, Younseok Choo
In this paper, we study the reciprocal sums of products of Fibonacci and Lucas numbers. Some identities are obtained related to the numbers ??,k=n 1/FkLk+m and ??,k=n 1/LkFk+m, m ? 0.
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- 1 January 2018
- Published by National Library of Serbia in Filomat
Open Access
On the reciprocal sums of products of Fibonacci and Lucas numbers
by Ginkyu Choi, Younseok Choo
In this paper, we study the reciprocal sums of products of Fibonacci and Lucas numbers. Some identities are obtained related to the numbers ??,k=n 1/FkLk+m and ??,k=n 1/LkFk+m, m ? 0.
Cited by 13
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Cited by 4
- 30 November 2015
- Published by Springer Nature in Results in Mathematics
On the Generalizations of Fibonacci Identities
by Younseok Choo
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- 30 November 2015
- Published by Springer Nature in Results in Mathematics
On the Generalizations of Fibonacci Identities
by Younseok Choo
Cited by 4
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Cited by 2
- 11 September 2013
- Published by Springer Nature in Journal of Optimization Theory and Applications
Improved Optimum Radius for Robust Stability of Schur Polynomials
by Younseok Choo
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- 11 September 2013
- Published by Springer Nature in Journal of Optimization Theory and Applications
Improved Optimum Radius for Robust Stability of Schur Polynomials
by Younseok Choo
Cited by 2