Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers

Autor: Qi Feng, Dağlı Muhammet Cihat, Lim Dongkyu

Publikováno v: Open Mathematics, Vol 19, Iss 1, Pp 833-849 (2021)

In this paper, with the aid of the Faà di Bruno formula and by virtue of properties of the Bell polynomials of the second kind, the authors define a kind of notion of degenerate Narumi numbers and polynomials, establish explicit formulas for degener

Externí odkaz: https://doaj.org/article/3acf51459d5f4ee98c069b9881a2cabd

Three closed forms for convolved Fibonacci numbers

Autor: Feng Qi

Publikováno v: Results in Nonlinear Analysis, Vol 3, Iss 4, Pp 185-195 (2020)

In the paper, by virtue of the Faà di Bruno formula and several properties of the Bell polynomials of the second kind, the author computes higher order derivatives of the generating function of convolved Fibonacci numbers and, consequently, derives

Externí odkaz: https://doaj.org/article/1782d3141ae842439f84afa78ac610c7

Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind

Autor: Feng Qi, Da-Wei Niu, Bai-Ni Guo

Publikováno v: AIMS Mathematics, Vol 4, Iss 2, Pp 170-175 (2019)

In the paper, by virtue of the Faà di Bruno formula, some properties of the Bell polynomials of the second kind, and an inversion formula for the Stirling numbers of the first and second kinds, the authors establish meaningfully and significantly tw

Externí odkaz: https://doaj.org/article/e9c41b33d76b4628bf7d1dca2f123c9d

Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers

Autor: Feng Qi, Dongkyu Lim, Muhammet Cihat Dağlı

Publikováno v: Open Mathematics, Vol 19, Iss 1, Pp 833-849 (2021)

In this paper, with the aid of the Faà di Bruno formula and by virtue of properties of the Bell polynomials of the second kind, the authors define a kind of notion of degenerate Narumi numbers and polynomials, establish explicit formulas for degener

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12f7fdd9f27873c526794ed71f2c966b
https://doi.org/10.1515/math-2021-0079

Some properties and an application of multivariate exponential polynomials

Autor: Bai-Ni Guo, Da-Wei Niu, Dongkyu Lim, Feng Qi

Publikováno v: Mathematical Methods in the Applied Sciences
Mathematical Methods in the Applied Sciences, Wiley, 2020, 43 (6), pp.2967--2983. ⟨10.1002/mma.6095⟩

International audience; In the paper, the authors introduce a notion "multivariate exponential polynomials" which generalize exponential numbers and polynomials, establish explicit formulas, inversion formulas, and recurrence relations for multivaria

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62c00c80f61ba9def185d17b893fe472
https://doi.org/10.1002/mma.6095