Some identities involving the λ-Daehee numbers and polynomials
Keywords:
λ-Daehee polynomials; Various Daehee polynomials; The Bernoulli numbers and polynomials; Four kinds of stirling numbers.
Abstract
Recently, λ-Daehee numbers and polynomials are introduced in [1]. In this paper, we obtain some properties of λ-Daehee numbers and polynomials. In addition, using generating functions we explore some new equalities and relations involving λ-Daehee numbers and polynomials.
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References
[1] Kim D S, Kim T, Lee S H, et al. A note on the lambda-Daehee polynomials[J]. International Journal of Mathematical Analysis, 2013, 7(61):3069-3080.
[2] Dongkyu, Lim, et al. Degenerate, partially degenerate and totally degenerate Daehee numbers and polynomials[J]. Department of Mathematics, 2005, (287).
[3] Nian, Liang, Wang. Some identities on the Higher-order Daehee and Changhee Numbers[J]. Pure Applied Mathematics Journal, 2015.
[4] Kim T. Degenerate Cauchy numbers and polynomials of the second kind[J]. 2017.
[5] Kim T, Kim D S. Degenerate Daehee polynomials of the second kind[J]. 2017.
[6] Kim T, Kim D S. Some identities for degenerate Bernoulli numbers of the second kind[J]. 2018.
[7] Feng Qi, Taekyun Kim, Chen Seoung Ryoo. On the partially degenerate Bernoulli polynomials of the first kind.[J]. 2015.
[8] Kim B M, Jeong J, Rim S H. Some explicit identities on Changhee-Genocchi polynomials and numbers[J]. Advances in Difference Equations, 2016, 2016(1).
[9] Magaowa, Wuyungaowa. Some identities involving the generalized harmonic numbers[J]. The Journal of Combinatorial Mathematics and Combinatorial Computing, 2012.
[10] Boyadzhiev K N. Lah numbers and Laguerre polynomials of order negative one[J]. 2016.
[11] Taekyun Kim. A note on degenerate stirling polynomials of the second kind[J]. 2017.
[12] Pyo S S, Kim T, Rim S H. Degenerate Daehee Numbers of the Third Kind[J]. Journal of Computational Applied Mathematics, 2018, 364:112343.
[13] John Wiley and Sons, Inc. Combinatorial methods[M]. Department of Mathematics University of Athens, 2005.
[2] Dongkyu, Lim, et al. Degenerate, partially degenerate and totally degenerate Daehee numbers and polynomials[J]. Department of Mathematics, 2005, (287).
[3] Nian, Liang, Wang. Some identities on the Higher-order Daehee and Changhee Numbers[J]. Pure Applied Mathematics Journal, 2015.
[4] Kim T. Degenerate Cauchy numbers and polynomials of the second kind[J]. 2017.
[5] Kim T, Kim D S. Degenerate Daehee polynomials of the second kind[J]. 2017.
[6] Kim T, Kim D S. Some identities for degenerate Bernoulli numbers of the second kind[J]. 2018.
[7] Feng Qi, Taekyun Kim, Chen Seoung Ryoo. On the partially degenerate Bernoulli polynomials of the first kind.[J]. 2015.
[8] Kim B M, Jeong J, Rim S H. Some explicit identities on Changhee-Genocchi polynomials and numbers[J]. Advances in Difference Equations, 2016, 2016(1).
[9] Magaowa, Wuyungaowa. Some identities involving the generalized harmonic numbers[J]. The Journal of Combinatorial Mathematics and Combinatorial Computing, 2012.
[10] Boyadzhiev K N. Lah numbers and Laguerre polynomials of order negative one[J]. 2016.
[11] Taekyun Kim. A note on degenerate stirling polynomials of the second kind[J]. 2017.
[12] Pyo S S, Kim T, Rim S H. Degenerate Daehee Numbers of the Third Kind[J]. Journal of Computational Applied Mathematics, 2018, 364:112343.
[13] John Wiley and Sons, Inc. Combinatorial methods[M]. Department of Mathematics University of Athens, 2005.
Published
2020-10-01
How to Cite
Li, Y.-H., & ., W. (2020). Some identities involving the λ-Daehee numbers and polynomials. Journal of Progressive Research in Mathematics, 16(4), 3182-3194. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1931
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