Numeral system with two bases having different signs and related special functions

• Дата: 2020
• Автори: Lysentko, I.M., Maslova, Yu.P., Pratsevytyi, M.V., Лысенко, И.М., Маслова, Ю.П., Працевитый, Н.В., Лисенко, І.М., Працьовитий, М.В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Інститут математики НАН України 2020
• Онлайн доступ: https://trim.imath.kiev.ua/index.php/trim/article/view/395
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

We consider an analytic system of encoding of numbers ($G_2$-representative) from an interval $[0;g_0]$ by means of the two-symbol alphabet $A\equiv\{0;1\}$ with two bases having different signs: $g_0\in(0;1)$ and $g_1=g_0-1$.The system is based on expansion of the numerical series. Functions with n...