Проектор $\Delta^O$-зображення чисел в $\Delta^E$-зображення

In the paper we study function $f$ that takes each argument $x$ having alternating Ostrogradsky--Sierpi\'nski--Pierce series representation to a sum of Engel series with the same elements, i.e.,$$f\left(\sum_{n=1}^\infty\frac{\left(-1\right)^{n-1}}{q_1q_2\ldots q_n}\right)=\sum_{n=1}^\infty...

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Bibliographic Details
Date:2017
Main Author: Мороз, М.П.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2017
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/404
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine