# Search results for: Dae San Kim

Advances in Difference Equations > 2019 > 2019 > 1 > 1-15

Journal of Inequalities and Applications > 2019 > 2019 > 1 > 1-14

*λ*-analogues of Stirling numbers of the first kind were studied. In this paper, we introduce, as natural extensions of these numbers,

*λ*-Stirling polynomials of the first kind and

*r*-truncated

*λ*-Stirling polynomials of the first kind. We give recurrence relations, explicit expressions, some identities, and connections with other special polynomials for those polynomials. Further, as applications,...

*r*-central factorial numbers of the second kind and extended degenerate

*r*-central Bell polynomials were introduced recently, as a degenerate version, a central analogue and an

*r*-extension of Stirling numbers of the second kind and Bell polynomials, respectively, and various properties of them were investigated. The purpose of the present paper is to further derive some properties,...

Journal of Inequalities and Applications > 2019 > 2019 > 1 > 1-11

*p*-adic integrals on Zp $\mathbb{Z}_{p}$. Specifically, we obtain a recursive formula for alternating integer power sums and representations of alternating integer power sum polynomials in terms of Euler polynomials and Stirling numbers...

Journal of Inequalities and Applications > 2019 > 2019 > 1 > 1-10

*q*-integers can be expressed by means of type 2

*q*-Bernoulli polynomials. Also, we show that...

Advances in Difference Equations > 2019 > 2019 > 1 > 1-11

*r*-central factorial numbers of the second and first kinds and the extended

*r*-central Bell polynomials, as extended versions and central analogues of some previously introduced numbers and polynomials. Then we study various properties and identities related to these numbers and polynomials and also their connections.

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales.... > 2019 > 113 > 4 > 3359-3367

Journal of Inequalities and Applications > 2019 > 2019 > 1 > 1-11

*p*-adic integrals on Zp and generating functions. In addition, we study two variable degenerate Bernstein polynomials and the degenerate Bernstein operators.

Advances in Difference Equations > 2019 > 2019 > 1 > 1-17

*r*-central factorial numbers of the second kind and extended

*r*-central Bell polynomials were introduced and various results of them were investigated. The purpose of this paper is to further derive properties, recurrence relations and identities related to these numbers and polynomials using umbral calculus techniques. Especially, we will represent the extended

*r*-central Bell polynomials...

Journal of Inequalities and Applications > 2019 > 2019 > 1 > 1-13

Advances in Difference Equations > 2019 > 2019 > 1 > 1-15

Journal of Inequalities and Applications > 2019 > 2019 > 1 > 1-12

Advances in Difference Equations > 2019 > 2019 > 1 > 1-15

Advances in Difference Equations > 2019 > 2019 > 1 > 1-16

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales.... > 2019 > 113 > 3 > 2921-2922

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales.... > 2019 > 113 > 3 > 2763-2771

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales.... > 2019 > 113 > 3 > 2507-2513

Advances in Difference Equations > 2019 > 2019 > 1 > 1-12

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales.... > 2019 > 113 > 3 > 2913-2920

Science China Mathematics > 2019 > 62 > 5 > 999-1028