8 citations · 40 across the 12 of their papers we have counts for
7 papers · 1 filter
Applications of certain probability distributions on positive integers
Symon Serbenyuk
The main goal of this research is to model and investigate generalizations of functions from [31]. Arguments of modeled functions are presented by the representation $π_{\mathfrak…
On one map between singular expansions
Symon Serbenyuk
The present article deals with properties of one map between two expansions of real numbers of the Salem type. Differential, integral, and other properties of the function were con…
On one class of modifications of the Salem function
Symon Serbenyuk
The present article deals with properties of one class of functions with complicated local structure. These functions can be modeled by certain operators of digits. Such operators…
One modification of the Salem function
Symon Serbenyuk
The present article is devoted to one example which related to the Salem function. The main attention is given to properties of one type of functions including items related to fun…
One class of functions with arguments in negative bases
Symon Serbenyuk
The present research deals with generalizations of the Salem function with arguments defined in terms of certain alternating expansions of real numbers. The special attention is gi…
Generalized shift operator of certain encodings of real numbers
Symon Serbenyuk
The present article is devoted to the investigation of some properties of the generalized shift operator of numbers represented in terms of numeral systems with a variable alphabet…