Keywords:-

Keywords: Combinatorial identities, Generalized Lucas - Fibonacci pairs, Tchebyshev polynomials

Article Content:-

Abstract

GC.JPG

References:-

References

Goutham C and R. Rangarajan, On combinatorial identities of Lucas and Fibonacci numbers connected to Tchebyshev

polynomials, International Journal of Mathematics and Computer Research, 13(2025), 4911-4918.

R. L. Graham, D. E. Kunth and O. Patashnik, Concerete Mathematics, Second Edition, Pearson Education Inc., 1994.

C. K. Honne Gowda, Studies on Sum Aspects of Combinatorial Number Theory, Ph. D. Thesis, University of Mysore,

Mysore, 2018.

D. Kim and J. Zeng, Combinatorics of Generalized Chebyshev Polynomials, Europien Journal of Combinatorics, 24

(2003), 499-509.

C. I. Lee and K. B. Wong, On Tchebyshev Polynomials and Certain Combinatorial Identities, Bulletin of the Malaysian

Mathematical Society, 2(34) (2011), 273-286.

J. C. Mason and D. C. Handscomb, Chebyshev Polynomials, C R C Press L L C, New York, 2003.

I. Niven, H. S. Zuekerman and H. L. Montgomery, An Introduction to the Theory of Numbers, 5th Edition, Wiley

Student Edition, Wiley India, 1991.

R. Rangarajan, Mukund R, Honnegowda C. K and Mayura R, On Combinatorial Identities of Pell-Chebyshev Twin

Number Pairs, Palestine Journal of Mathematics, 11(2) (2022), 308-317.

Rangaswamy, Studies on Brahmagupta polynomials and continued fractions with some interconnections, Ph. D. Thesis,

University of Mysore, Mysore, 2007.

N. Robbins, Beginning Number Theory, W. M. C. Brown Publication, 1993.

Ross Honsberger, Mathematical Gems III, The Mathematical Association of America, 1985.

E. R. Suryanarayan, The Brahmagupta Polynomials, The Fibonacci Quarterly, 34 (1996), 30-39.

Thomas Koshy, Fibonacci and Lucas numbers with applications. John Wiley and Sons, 2019.

Thomas Koshy, Pell and Pell Lucas numbers with applications. New York: Springer, 2014.

S. Vajda, Fibonacci and Lucas Numbers and Golden section, Theory and Applications, Ellis-Horwood, New York, 1989.

Downloads

Citation Tools

How to Cite
C, G., & RANGARAJAN, R. (2025). ON THREE CONSECUTIVE PAIRS OF LUCAS AND FIBONACCI NUMBERS CONNECTED TO PELL-LUCAS AND PELL POLYNOMIALS. International Journal Of Mathematics And Computer Research, 13(4), 5138-5143. https://doi.org/10.47191/ijmcr/v13i4.17