论文信息 - New Results and Matrix Representation for Daehee and Bernoulli Numbers and Polynomials

New Results and Matrix Representation for Daehee and Bernoulli Numbers and Polynomials

In this paper, we derive new matrix representation for Daehee numbers and polynomials, the lambda-Daehee numbers and polynomials and the twisted Daehee numbers and polynomials. This helps us to obtain simple and short proofs of many previous results on Daehee numbers and polynomials. Moreover, we obtained some new results for Daehee and Bernoulli numbers and polynomials.

Abdelfattah Mustafa | B. S. El-Desouky | B. El-Desouky | A. Mustafa

[1] Taekyun Kim,et al. An analogue of Bernoulli numbers and their congruences , 1994 .

[2] Yilmaz Simsek,et al. Special functions related to Dedekind-type DC-sums and their applications , 2009, 0902.0380.

[3] Toufik Mansour,et al. Modified approach to generalized Stirling numbers via differential operators , 2010, Appl. Math. Lett..

[4] J. Kwon,et al. The twisted Daehee numbers and polynomials , 2014 .

[5] H. W. Gould,et al. Explicit Formulas for Bernoulli Numbers , 1972 .

[6] Taekyun Kim,et al. An Invariant P -Adic Integral Associated with Daehee Numbers , 2002 .

[7] Yilmaz Simsek,et al. Remarks on q-Bernoulli numbers associated with Daehee numbers , 2009 .

[8] Dae San Kim,et al. Daehee Numbers and polynomials , 2013, 1309.2109.