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Related papers: Barnes-type Daehee polynomials

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In this paper, we consider Barnes' multiple Bernoulli and poly-Bernoulli mixed-type polynomials. From the properties of Sheffer sequences of these polynomials arising from umbrral calculus, we derive new and interesting identities.

Number Theory · Mathematics 2013-12-30 D. S. Kim , T. Kim , T. Komatsu

In this paper, we investigate some properties of several Sheffer sequences of several polynomials arising from umbral calculus. From our investigation, we can derive many interesting identities of several polynomials

Number Theory · Mathematics 2013-02-21 Taekyun Kim , Dae San Kim , Seog-Hoon Rim , Dmitry V. Dolgy

We consider the Witt-type formula for Daehee numbrers and polynomials and investigate some properties of those numbers and polynomials. In particular, Daehee numbers are closely related to higher-order Bernoulli numbers and Bernoulli…

Number Theory · Mathematics 2013-09-10 Dae San Kim , Taekyun Kim

In recent years, many authors have studied Changhee and Dae- hee polynomials in connection with many special numbers and polynomials. In this paper, we investigate type 2 Changhee and Daehee numbers and polynomials and give some identities…

Number Theory · Mathematics 2018-09-17 Dae San Kim , Taekyun Kim

In this paper, we consider the degenerate Daehee numbers and polynomials of the second kind which are different from the previously introduced Daehee numbers and polynomials. We investigate some properties of these numbers and polynomials.…

Number Theory · Mathematics 2017-08-01 Taekyun Kim , Dae San Kim

In this paper, we consider various speical mixed-type polynomials which are related to Bernoulli, Euler, Changhee and Daehee polynomials. From those polynomials, we derive some interesting and new identities

Number Theory · Mathematics 2014-06-10 Dae San Kim , Taekyun Kim , Hyucj In Kwon

In this paper, we investigate some properties of the associated sequence of Daehee and Changhee polynomials. Finally, we give some interesting identities of associated sequence involving some special polynomials.

Number Theory · Mathematics 2013-01-29 D. S. Kim , T. Kim , S. -H. Rim

Recently, Daehee numbers and polynomials are introduced by the authors. In this paper, we consider the Daehee numbers and polynomials of order k and give some relation between Daehee polynomials of order k and special polynomials

Number Theory · Mathematics 2013-10-18 Dae San Kim , Taekyun Kim

Recently, the non-linear Changhee differential equations were introduced in [5] and these differential equations turned out to be very useful for studying special polynomials and mathematical physics. Some interesting identities and…

Number Theory · Mathematics 2016-03-01 Dmitry V. Dolgy , Dae san Kim , Taekyun Kim , Jong-Jin Seo

In this paper, we study higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials with viewpoint of umbral calculus and give some interesting identities and formulae of those polynomials which are…

Number Theory · Mathematics 2013-08-12 Dae san Kim , Taekyun Kim

In this paper, we consider higher-order Bernoulli and poly-Bernoulli mixed type polynomials and we give some interesting identities of those polynomials arising from umbral calculus.

Number Theory · Mathematics 2013-07-09 Dae San Kim , Taekyun Kim

In this paper, we investigate some properties of higher-order Cauchy of the second kind and poly-Cauchy of the second mixed type polynomials with umbral calculus viewpoint. From our investigation, we derive many interesting identities of…

Number Theory · Mathematics 2013-08-27 Dae San Kim , Taekyun Kim

In this paper, we present a new definition and generalization of higher order Daehee of the first and second kind. Some new results for these polynomials and numbers are derived. Furthermore, some interesting special cases of the new…

General Mathematics · Mathematics 2021-03-26 F. M. Abdel Moneim , A. Mustafa , B. S. El-Desouky

In this paper, we study some properties of associated sequaences in umbral calculus. From these properties, we derive new and interesting identities of several kinds of polynomials.

Number Theory · Mathematics 2012-11-19 Dae San Kim , Taekyun Kim , Seog-Hoon Rim

In this paper, we consider the poly-cauchy polynomials and numbers of the second kind which were studied by Komatsu in [10]. We note that the poly-Cauchy polynomials of the second kind are the special generalized Bernoulli polynomials of…

Number Theory · Mathematics 2013-08-09 Dae San Kim , Taekyun Kim

In this paper, we study some properties of Euler polynomials arising from umbral calculus. Finally, we give some interesting identities of Euler polynomials using our results. Recently, Dere and Simsek have studied umbral calculus related…

Number Theory · Mathematics 2012-11-29 Dae San Kim , Taekyun Kim , Seog-Hoon Rim

In this paper, we give some interesting identities of higher-order Bernoulli, Frobenius-Euler and Euler polynomials arising from umbral calculus. From our method of this paper, we can derive many interesting identities of special…

Number Theory · Mathematics 2013-02-27 Taekyun Kim , Dae San Kim

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…

Number Theory · Mathematics 2017-08-01 Taekyun Kim , Dae San Kim

A construction of new sequences of generalized Bernoulli polynomials of first and second kind is proposed. These sequences share with the classical Bernoulli polynomials many algebraic and number--theoretical properties. A new class of…

Number Theory · Mathematics 2021-12-16 Piergiulio Tempesta

In this paper, we investigate some properties of q-Bernoulli polynomi- als arising from q-umbral calculus. Finally, we derive some interesting identities of q-Bernoulli polynomials from our investigation.

Number Theory · Mathematics 2013-07-01 Dae san Kim , Taekyun Kim
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