Complex Number and its Conjugate in Continued Fraction
A. Gnanam1, S. Krithika2
1A.Gnanam, Assistant professor, Department of Mathematics, Government Arts College, Trichy.
2S.Krithika, Assistant Professor, Department of Mathematics, Seethalakshmi Ramaswami College, Trichy.
Manuscript received on October 15, 2019. | Revised Manuscript received on 25 October, 2019. | Manuscript published on November 10, 2019. | PP: 4994-4998 | Volume-9 Issue-1, November 2019. | Retrieval Number: L36891081219/2019©BEIESP | DOI: 10.35940/ijitee.L3689.119119
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: For any equation complex roots occur in pairs. For finding a root of the equation in continued fractions algorithms are available. But to get complex roots in continued fraction no such procedure so far we have. Here, in this paper if has a representation in continued fractions we try to find its conjugate in terms of continued fractions. This will be useful in finding complex roots of a quadratic equations in continued fraction.
Keywords: Continued Fraction, Complex Continued Fraction, Complex Numbers.
Scope of the Article: Applied Mathematics and Mechanics