Incomplete h(x)-B-Tribonacci Polynomials

S. Arolkar^1, and Y.S. Valaulikar²

¹Department of Mathematics, D.M.’s College and Research Centre, Assagao-Bardez Goa, India, 403 507

²Department of Mathematics, Goa University, Taleigao Plateau, India, 403 206

Cite this paper:
S. Arolkar and Y.S. Valaulikar. Incomplete h(x)-B-Tribonacci Polynomials. Turkish Journal of Analysis and Number Theory. 2016; 4(6):155-158. doi: 10.12691/tjant-4-6-1

Abstract

In this paper we introduce incomplete h(x)-B-Tribonacci polynomials and obtain recurrence relations satisfied by a new class of polynomials.

Keywords:
Incomplete Fibonacci Polynomials h(x)-B-Tribonacci Polynomials and Incomplete h(x)-B- Tribonacci Polynomials

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]	Arolkar S. and Valaulikar Y. S., On an Extension of Fibonacci sequences, Bulletin of Marathwada Mathematical Society, 17 (1) (2016), 1-8.
[2]	Arolkar S. and Valaulikar Y.S., h(x)-B-Tribonacci and h(x)-B- Tri Lucas polynomials. To appear in Kyungpook Mathematical Journal.
[3]	Falcon S., Plaza A., On the Fibonacci k- numbers, Chaos, Solitons & Fractals 32 (2007) 1615-1624.
[4]	Falcon S., Plaza A., On k-Fibonacci sequences and polynomials and their derivatives, Chaos, Solitons & Fractals 39 (2009) 1005-1019.
[5]	Filipponi, P., Incomplete Fibonacci and Lucas numbers, Rendiconti del Cicolo Matematico di Palerno, 45(2),37-56, 1996.
[6]	Jose L. R., Incomplete Generalized Fibonacci and Lucas Polynomials, Hacettepe journal of Mathematics and Statistics, Volume 44(2)(2015), 363-373.
[7]	Jose L. R., Sirvent V., Incomplete Tribonacci numbers and Polynomials, Journal of integer sequences, vol. 17(2014,Article 14.4.2.
[8]	Koshy T., Fibonacci and Lucas numbers with Applications, A wiley-inter science publication (2001).
[9]	Nazmiye Y. and Necati Taskara, Incomplete Tribonacci –Lucas numbers and polynomial, arXiv: 1404.4168v1 [math.NT] 16 April 2014.
[10]	Panwar Y. and Singh M., Generalized Bivariate Fibonacci- Like Polynomials, International Journal of Pure Mathematics, Volume 1, 2014, 8-13.
[11]	Vajda S., Fibonacci and Lucas numbers and the Golden section: Theory and Applications,Dover Publications (2008).
[12]	Wang T. and Zhang W., Some identities involving Fibonacci, Lucas polynomials and their applications, Bull. Math. Soc. Sci. Math. Rourmanie Tome 55 (103 No. 1, 2012, 95-103).
[13]	Yogesh Kumar Gupta, V.H. Badshah, Mamata Singh, and Kiran Sisodiya, Some Identities of Tribonacci Polynomials, Turkish Journal of Analysis and Number Theory, 2016,Vol.4, No. 1, 20-22.
[14]	Yi Y., Zhang W., Some identities involving the Fibonacci polynomials, Fibonacci Quarterly, Vol. 40, (2002), 314-318.