On the Transcendental Equation With Three Unknowns $\sqrt{2z-4}=\sqrt{x+\sqrt{C}y}\pm \sqrt{x-\sqrt{C}y}$ for Different Values of C by Using the Continued Fraction Method


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Authors

  • S. Sriram Department of Mathematics, National College (Affiliated to Bharathidasan University), Tiruchirappalli, Tamilnadu, India.
  • P. Veeramallan P.G Assistant in Mathematics, GHSS, Yethapur, Salem, Tamilnadu, India.

Keywords:

Transcendental equation, Integer solutions, Continued fraction, Pell equation, Recurrence relation

Abstract

The Transcendental equation with three unknowns is given by $\sqrt{2z-4}=\sqrt{x+\sqrt{C}y}\pm \sqrt{x-\sqrt{C}y}$ is considered and analyzed for finding a different set of integer solutions utilizingthe continued fraction method, under numerous patterns with some numerical examples.

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Published

02-04-2022

How to Cite

S. Sriram, & P. Veeramallan. (2022). On the Transcendental Equation With Three Unknowns $\sqrt{2z-4}=\sqrt{x+\sqrt{C}y}\pm \sqrt{x-\sqrt{C}y}$ for Different Values of C by Using the Continued Fraction Method. International Journal of Mathematics And Its Applications, 10(1), 51–57. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/13

Issue

Vol. 10 No. 1 (2022)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.