Symon Serbenyuk
Published 2016-02-03Version 1
The article is devoted to modeling of the nega-$\tilde Q$-representation of real numbers. The representation is a generalization of representation by alternating Cantor series and positive $\tilde Q$-representation is a generalization of representation of real numbers by the positive Cantor series. Analytic and geometric approach are used for modeling of nega-$\tilde Q$-representation. Advantages and disadvantages of these approaches are investigated, the representation is modeled. The investigation was represented in seminar on fractal analysis of Institute of Mathematics of the National Academy of Sciences of Ukraine on, October 30, 2014 (http://www.imath.kiev.ua/events/index.php?seminarId=21&archiv=1) and International Conference "Probability, Reliability and Stochastic Optimization", Kyiv, April 7-10, 2015.
Comments: in Ukrainian. One can to familiarize with some results of Symon Serbenyuk that it were published in Trans. Dragomanov Nat. Pedagogical Univ. Ser. 1, Physics and Mathematics, for positive (http://fmi.npu.edu.ua/images/files/publications/naukchasopys1/NZ2013_14.pdf, p. 253-267) and alternating Cantor series (http://fmi.npu.edu.ua/images/files/publications/naukchasopys1/NZ2013_15.pdf, p. 168-187)
Arithmetic Properties of the Sequence of Derangements and its Generalizations
On a Generalization of Bernoulli and Euler Polynomials
Generalizations on a Problem of Saffari
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