On Polynomial Solutions of Quadratic Diophantine Equation
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Keywords:
Diophantine equation, Polynomial solution, Pells equation, Continued fraction expansionAbstract
Let $P:= P(t)$ be a polynomial in $Z\left[X\right]$. In this paper, we consider the polynomial solutions of Diophantine Equation $D:x^2-6y^2-10x+24y=0$. We also obtain some formulae and recurrence relations on the Polynomial solution $(x_n, y_n)$ of $D$.
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