ON A CLASS OF SOLUTIONS FOR
THE HYPERBOLIC DIOPHANTINE EQUATION
J. Kannan1, Manju Somanath2, K. Raja3
1Ayya Nadar Janaki Ammal College
Sivakasi, 626 124, INDIA
2,3National College (Autonomous)
Trichy, 620 001, INDIA

Abstract

Let $\mu\geq2$ be a natural number. In this paper, we find all the solutions of the Hyperbolic Diophantine equations $D: x^2-(\mu^2-\mu)y^2-(4\mu+2)x+(6\mu^2-6\mu)y-(5\mu-13)\mu=0$ over $\mathbb{Z}$. We also derive some recurrence relations on the integer solutions $(x_n,y_n)$ of $D.$

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 32
Issue: 3
Year: 2019

DOI: 10.12732/ijam.v32i3.6

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