Bulletin of Pure & Applied Sciences- Mathematics and Statistics

  • Year: 2014
  • Volume: 33e
  • Issue: 2

Matrix modelling of Pell-Lucas-Kala Polynomials

1Professor Emeritus, P.G. & Research Department of Mathematics, Bishop Heber College, Tiruchirappalli-17, Tamilnadu, India. Email: kaladevi1956@gmail.com

2P.G. Assistant in Mathematics, Govt. Hr. Sec. School, Anukkur, Perambalur, Tamilnadu, India. Email: dhevakirajarajan@gmail.com

Abstract

In this paper we have defined Pell-Lucas-Kala Polynomial and described the Matrix Modelling of Pell-Lucas-Kala Polynomial.

Kn(x) = 2xKn-1(x) + Kn-2(x) with K1(x) = p, K2(x) = qx, p ≥ 3, q ≥ 3. Fibonacci polynomials, Pell polynomials, Pell-Lucas polynomials, Mpn − polynomials, Pell-Lucas-Kala polynomials.