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ON THE SYMMETRIC IDENTITIES OF MODIFIED DEGENERATE BERNOULLI POLYNOMIALS
D. V. Dolgy,김태균,서종진 장전수학회 2016 Proceedings of the Jangjeon mathematical society Vol.19 No.2
Recently, Dolgy-Kim-Kwon-Seo introduced the modified de- generate Bernoulli polynomials which are different from Carlitz's degener- ate Bernoulli polynomials(see [5]). In this paper, we investigate some sym- metric identities for the modified degenerate Bernoulli polynomials arising from p-adic invariant integral on Zp.
Degenerate poly-Cauchy polynomials
Dolgy, D.V.,Kim, D.S.,Kim, T.,Mansour, T. Elsevier [etc.] 2015 Applied Mathematics and Computation Vol.269 No.-
In this paper, we study several properties for the degenerate poly-Cauchy polynomials. We present several explicit formulas and recurrence relations for these polynomials. Also, we establish a connection between our polynomials and several known families of polynomials.
A NOTE ON THE WEIGHTED q-BERNOULLI NUMBERS AND THE WEIGHTED q-BERNSTEIN POLYNOMIALS
Dolgy, D.V.,Kim, T. The Honam Mathematical Society 2011 호남수학학술지 Vol.33 No.4
Recently, the modified q-Bernoulli numbers and polynomials with weight ${\alpha}$ are introduced in [3]: In this paper we give some interesting p-adic integral representation on $\mathbb{Z}_p$ of the weighted q-Bernstein polynomials related to the modified q-Bernoulli numbers and polynomials with weight ${\alpha}$. From those integral representation on $\mathbb{Z}_p$ of the weighted q-Bernstein polynomials, we can derive some identities on the modified q-Bernoulli numbers and polynomials with weight ${\alpha}$.
Interval uncertainty non-cooperative games
D.Dolgy 장전수학회 2024 Proceedings of the Jangjeon mathematical society Vol.27 No.1
Interval uncertainty non-cooperative games
Vitality problem for linear controlled system
Dmitriy V. Dolgy 장전수학회 2013 Advanced Studies in Contemporary Mathematics Vol.23 No.1
The problem of vitality of the linear controlled system is introduced. It is shown that vitality problem is equivalent to the problem of solving linear system with interval coefficients. One constructive method of solving it is suggested.
D. V. Dolgy,T. KIM,S. H. LEE,임석훈 장전수학회 2014 Advanced Studies in Contemporary Mathematics Vol.24 No.4
In this paper, we give some symmetric identities for the generalized higher-order q-Euler polynomials under Digedral group D3 which are derived from ordinary fermionic integral on Zp.
D. V. Dolgy,김태균 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.2
In this paper, we study the degenerate Stirling numbers arising from the generating functions and we give some identities and formulas of these numbers which are related to the degenerate special numbers and polynomials.
D. V. Dolgy,T. Kim,S.-H. Rim,S. H. LEE 장전수학회 2014 Proceedings of the Jangjeon mathematical society Vol.17 No.4
Symmetry identities for the generalized higher-order q-Bernoulli polynomials under arising from -adic Volkenborn ingegral on Z_p