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- 저자 : 장관우 (검색결과 52 건)
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Some identities of ordered Bell numbers arising from differential equation
장관우,김태균 장전수학회 2017 Advanced Studies in Contemporary Mathematics Vol.27 No.3
In this paper, we study the methods for finding the solutions of differential equations which are derived from the generating functions of ordered Bell numbers. In addition, we give some new and interesting identities of ordered Bell numbers arising from differential equations.
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FOURIER SERIES OF FUNCTIONS RELATED TO BERNOULLI POLYNOMIALS
장관우,김대산,김태균,Toufik Mansour 장전수학회 2017 Advanced Studies in Contemporary Mathematics Vol.27 No.1
We study the Fourier series of functions related to Bernoulli polynomials. As consequences, several new identities for the Bernoulli functions and numbers are derived.
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A note on type 2 degenerate Euler and Bernoulli polynomials
장관우,김태균 장전수학회 2019 Advanced Studies in Contemporary Mathematics Vol.29 No.1
Recently, several authors have studied degenerate Bernoulli and Euler polynomials in connection with many special numbers and poly- nomials. In this paper, we study the type 2 degenerate Bernoulli and Euler polynomials and give some properties for these polynomials. In particu- lar, these polynomials are closely related to central factorial numbers of the second kind. In addition, we give some identities of these polynomials associated with the central factorial numbers of the second kind.
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Degenerate Changhee numbers and polynomials of the second kind
장관우,김대산,김태균 장전수학회 2017 Advanced Studies in Contemporary Mathematics Vol.27 No.4
In this paper, we consider the degenerate Changhee numbers and polynomials of the second kind which are different from the previously introduced degenerate Changhee numbers and polynomials by Kwon-Kim-Seo (see [11]). We investigate some interesting identities and properties for these numbers and polynomials. In addition, we give some new relations between the degenerate Changhee polynomials of the second kind and the Carlitz's degenerate Euler polynomials.
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SOME IDENTITIES OF FUBINI POLYNOMIALS ARISING FROM DIFFERENTIAL EQUATIONS
장관우,김태균 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.1
Recently, Kim-Kim have studied degenerate Fubini polynomi- als, which are related to Stirling numbers of the second kind (see [6]). In this paper, we find the differential equation arising from the generating function of Fubini polynomials and we derive some new interesting identi- ties and properties from this differential equation.
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장관우,김태균,권혁인 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.2
Recently, the degenerate stirling numbers and polynomials of the second kind and the degenerate Bell polynomials are introduced in [5]. In this paper, we study the extension of the degenerate stirling numbers and polynomials of the second kind and degenerate Bell polynomials. In addition, we will give some identities and relations for these numbers and polynomials.
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Some identities of central Fubini polynomials arising from nonlinear differential equation
장관우,김태균 장전수학회 2019 Proceedings of the Jangjeon mathematical society Vol.22 No.2
Recently, several authors have studied central Fubini polynomials associated with central factorial numbers of the second kind. In this paper, we nd the nonlinear dierential equation arising from the generating function of central Fubini polynomials and we derive some new interesting identities and properties from this dierential equation.
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A note on degenerate Apostol-Bernoulli numbers and polynomials
장관우,권혁인,김태균 장전수학회 2017 Advanced Studies in Contemporary Mathematics Vol.27 No.2
In this paper, we consider the degenerate Apostol-Bernoulli numbers and polynomials due to L. Carlitz. and we investigate some properties for these numbers and polynomials
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REVISIT OF IDENTITIES FOR DAEHEE NUMBERS ARISING FROM NONLINEAR DIFFERENTIAL EQUATIONS
장관우,김태균 장전수학회 2017 Proceedings of the Jangjeon mathematical society Vol.20 No.2
Recently, Kwon-Kim-Seo introduced some interesting identi- ties of Daehee numbers arising from dierential equation. In this paper, we consider the inverse problem for the some identities of Daehee numbers which are derived from dierential equations in [6].
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Some identities of partially degenerate Bell polynomials arising from differential equations
장관우,김태균 장전수학회 2019 Advanced Studies in Contemporary Mathematics Vol.29 No.2
Recently, several authors have studied partially degenerate Bell num- bers and polynomials. In this paper, we nd the inversion formula of dierential equation arising from the generating function of partially degenerate Bell poly- nomials already shown in [6] and we derive some new interesting identities and properties from this dierential equation.
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