
Complex Number and its Conjugate in Continued Fraction
Publication year - 2019
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.l3689.119119
Subject(s) - fraction (chemistry) , conjugate , complex conjugate , representation (politics) , mathematics , quadratic equation , root (linguistics) , mathematical analysis , chemistry , chromatography , law , geometry , political science , linguistics , philosophy , politics
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 i has a representation in continued fractions we try to find its conjugate i in terms of continued fractions. This will be useful in finding complex roots of a quadratic equations in continued fraction.