Several formulas for special values of the Bell polynomials of the second kind and applications

By Feng Qi (祁锋), Xiaofa Shi, Fang-Fang Liu, Dmitry V. Kruchinin. 2017

62 citations recorded by the source corpus.

In the paper, the authors establish several explicit formulas for special values of the Bell polynomials of the second kind, connect these formulas with the Bessel polynomials, and apply these formulas to give new expressions for the Catalan numbers and to compute arbitrary higher order derivatives of elementary functions such as the since, cosine, exponential, logarithm, arcsine, and arccosine of the square root for the variable.

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/d5000c94d64d7e09f7a9ce57ac16444e88964add

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Dongkyu Lim
2. Yong-hong Yao
3. Da-Wei Niu
4. Feng Qi (祁锋)
5. Bai-Ni Guo (郭白妮)

In Applied Mathematics

1. Dongkyu Lim
2. Da-Wei Niu
3. Yong-hong Yao
4. Feng Qi (祁锋)
5. Bai-Ni Guo (郭白妮)
6. Bo-Yan Xi
7. Chao Chen
8. Y. Chu

Citations in the corpus

• Special values of the Bell polynomials of the second kind for some sequences and functions (2020, background): “10), please refer to the papers [49, 68, 73, 83, 93, 88] and closely related references therein.”