У роботi розглядається одне узагальнення функцiй, якi Бл. Сендов називав «двоично собственно-подобные», здiйснюється аналiз зв’язкiв об’єкта вивчення з вiдомими класами фрактальних функцiй, з геометрiєю числових рядiв, розподiлами випадкових величин з незалежними випадковими цифрами двосимвольного $Q_2$-зображення, з теорiєю фракталiв. Для функцiй цього класу вивчаються структурнi, варiацiйнi, iнтегральнi, диференцiальнi та фрактальнi властивостi.

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