
Research of the class of branched continued fractions of special form, whose denominators do not equal to zero, is proposed and the connection of such fraction with a certain quadratic form is established. It furnishes new opportunities for the investigation of convergence of branching continued fractions of special form.
додатно визначений гiллястий ланцюговий дрiб спецiального вигляду, квадратична форма, positive definite branched continued fraction of special form, положительно определенная ветвящаяся цепная дробь специального вида, квадратичная форма, Continued fractions, positive definite branched continued fraction of special form, quadratic form, QA1-939, Convergence and divergence of continued fractions, Mathematics, quadratic form, Continued fractions; complex-analytic aspects
додатно визначений гiллястий ланцюговий дрiб спецiального вигляду, квадратична форма, positive definite branched continued fraction of special form, положительно определенная ветвящаяся цепная дробь специального вида, квадратичная форма, Continued fractions, positive definite branched continued fraction of special form, quadratic form, QA1-939, Convergence and divergence of continued fractions, Mathematics, quadratic form, Continued fractions; complex-analytic aspects
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