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Turkish Journal of Analysis and Number Theory
ISSN (Print): 2333-1100 ISSN (Online): 2333-1232 Website: https://www.sciepub.com/journal/tjant Editor-in-chief: Apply for this position
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Generalized Fibonacci – Like Sequence Associated with Fibonacci and Lucas Sequences
by Yogesh Kumar Gupta, Mamta Singh and Omprakash Sikhwal
Turkish Journal of Analysis and Number Theory. 2014, 2(6), 233-238
Fibonacci sequence Lucas sequence Generalized Fibonacci-Like Sequence Binet’s formula
has been cited by the following article(s) based on Google Scholar:
1
Determinantal Identities of Fibonacci, Lucas and Generalized Fibonacci-Lucas Sequence
YK Gupta, M Singh - MAYFEB Journal of Mathematics, 2017 - mayfeb.com
Abstract Determinants have played a significant part in various areas in mathematics. For
instance, they are quite useful in the analysis and solution of system of linear equations.
There are different perspectives on the study of determinant. In this paper we present some
2
[Citation][C] Generalization of Fibonacci Sequence and Related Properties,“
3
Determinantal Identities of Generalized Fibonacci-Like Sequence
YK Gupta - MAYFEB Journal of Computer Science, 2017 - mayfeb.com
Abstract Determinants have played a significant part in various areas in mathematics. For
instance, they are quite useful in the analysis and solution of system of linear equations.
There are different perspectives on the study of determinant. In this paper we present some
4
Some properties of the generalized Fibonacci sequence $\{q_n\} $ by matrix methods
SP Jun, KH Choi - The Korean Journal of Mathematics, 2016 - journal.kkms.org
Korean J. Math. 24 (2016), No. 4, pp. 681–691 https://doi.org/10.11568/kjm.2016.24.4.681 ...
SOME PROPERTIES OF THE GENERALIZED FIBONACCI SEQUENCE {qn} BY MATRIX METHODS
... Sang Pyo Jun and Kwang Ho Choi ... Abstract. In this note, we consider a generalized Fibonacci
5
Generalized Bivariate Fibonacci-Like Polynomials
YK Gupta, M Singh, Journal of Mathematics, 2017 - mayfeb.com
Abstract In this paper, we introduce a generalized bivariate Fibonacci-Like polynomials
sequence, from which specifying initial conditions the bivariate Fibonacci and Lucas
polynomials are obtained. Also we define some properties of generalized bivariate
6
Some Identities for Even and Odd Fibonacci and Lucas Numbers
YK Gupta, M Singh, Journal of Mathematics, 2017 - mayfeb.com
Abstract The Fibonacci sequence are well known and widely investigated. The Fibonacci
and Lucas sequences have enjoyed a rich history. To this day, interest remains in the
relation of such sequences to many fields. In this paper, we obtain some new properties for
7
Complex factorizations of the generalized Fibonacci sequences $\{q_n\} $
SP Jun - The Korean Journal of Mathematics, 2015 - kkms.org
Abstract In this note, we consider a generalized Fibonacci sequence $\{q_n\} $. Then give a
connection between the sequence $\{q_n\} $ and the Chebyshev polynomials of the second
kind $ U_n (x) $. With the aid of factorization of Chebyshev polynomials of the second kind $
8
[CITATION][C] Generalization of Fibonacci Sequence and Related Properties,“
M Singh, YK Gupta, K Sisodiya - Research Journal of Computation and Mathematics, 2015
9
Some properties of the generalized Fibonacci sequence by matrix methods
SP Jun, KH Choi - The Korean Journal of Mathematics, 2016 - kkms.org
Korean J. Math. 24 (2016), No. 4, pp. 681–691 https://doi.org/10.11568/kjm.2016.24.4.681 …
SOME PROPERTIES OF THE GENERALIZED FIBONACCI SEQUENCE {qn} BY MATRIX METHODS
 … Sang Pyo Jun and Kwang Ho Choi … Abstract. In this note, we consider a generalized Fibonacci …
10
Determinantal Identities of Fibonacci, Lucas and Generalized Fibonacci-Lucas Sequence
YK Gupta, O Sikhwal, M Singh - MAYFEB Journal of Mathematics, 2017 - mayfeb.com
Determinants have played a significant part in various areas in mathematics. For instance,
they are quite useful in the analysis and solution of system of linear equations. There are
different perspectives on the study of determinant. In this paper we present some …
11
Complex factorizations of the generalized Fibonacci sequences
SP Jun - The Korean Journal of Mathematics, 2015 - journal.kkms.org
In this note, we consider a generalized Fibonacci sequence $\{q_n\} $. Then give a
connection between the sequence $\{q_n\} $ and the Chebyshev polynomials of the second
kind $ U_n (x) $. With the aid of factorization of Chebyshev polynomials of the second kind …
12
Determinantal Identities of Generalized Fibonacci-Like Sequence
YK Gupta - MAYFEB Journal of Electrical and Computer …, 2016 - mayfeb.com
Determinants have played a significant part in various areas in mathematics. For instance,
they are quite useful in the analysis and solution of system of linear equations. There are
different perspectives on the study of determinant. In this paper we present some …
13
On Generalized Fibonacci like Sequence Containing Higher Powers
KK Sharma - MAYFEB Journal of Mathematics, 2018 - mayfeb.com
In mathematical terms, sequence is a list of numbers arranged in a specific order. Fibonacci
sequence [3] is sequence of whole numbers defined by the recurrence formula F n= F n-1+ F
n+ 2, n>= 2 and F 0= 0, F 1= 1 where F n is an n th number of sequence. Fibonacci numbers …
14
Some properties of the generalized (p, q)-Fibonacci-Like number
A Suvarnamani - MATEC Web of Conferences, 2018 - matec-conferences.org
For the real world problems, we use some knowledge for explain or solving them. For
example, some mathematicians study the basic concept of the generalized Fibonacci
sequence and Lucas sequence which are the (p, q)–Fibonacci sequence and the (p, q) …
15
Generalized Bivariate Fibonacci-Like Polynomials
YK Gupta, M Singh, O Sikhwal - MAYFEB Journal of Mathematics, 2017 - mayfeb.com
In this paper, we introduce a generalized bivariate Fibonacci-Like polynomials sequence,
from which specifying initial conditions the bivariate Fibonacci and Lucas polynomials are
obtained. Also we define some properties of generalized bivariate Fibonacci-Like …
16
Some Identities for Even and Odd Fibonacci and Lucas Numbers
YK Gupta, M Singh, O Sikhwal - MAYFEB Journal of Mathematics, 2017 - mayfeb.com
The Fibonacci sequence are well known and widely investigated. The Fibonacci and Lucas
sequences have enjoyed a rich history. To this day, interest remains in the relation of such
sequences to many fields. In this paper, we obtain some new properties for Fibonacci and …
17
Generalized Identities Related for the Fibonacci Number, Lucas Number and Fibonacci-Like Number By Matrix Method
M Tatong - Science and Technology RMUTT Journal, 2018 - sci.rmutt.ac.th
Page 1. Received: Revised: Accepted: December 12, 2017 June 29, 2018 June 29, 2018 Science
and Technology RMUTT Journal Generalized Identities Related for the Fibonacci Number, Lucas
Number, Fibonacci-Like Number and Generalized Fibonacci-Like Number By Matrix Method …
18
Generalized Identities Related for The k-Fibonacci Number, The k-Lucas Number and k-Fibonacci-Like number
M Tatong, A Suvarnamani - Science and Technology RMUTT Journal, 2018 - sci.rmutt.ac.th
Page 1. Received: Revised: Accepted: October 27, 2017 June 05, 2018 June 27, 2018 Science
and Technology RMUTT Journal Generalized Identities Related for The k-Fibonacci Number,
The k-Lucas Number and k-Fibonacci-Like Number Mongkol Tatong1* and Alongkot …
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