SEVERAL FORMULAS FOR SPECIAL VALUES OF THE BELL POLYNOMIALS OF THE SECOND KIND AND APPLICATIONS | Zendy

Feng Qi | Zendy; Xiao-Ting Shi | Zendy; Fang-Fang Liu | Zendy; Dmitry Kruchinin | Zendy

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SEVERAL FORMULAS FOR SPECIAL VALUES OF THE BELL POLYNOMIALS OF THE SECOND KIND AND APPLICATIONS

Author(s) -

Feng Qi,

Xiao-Ting Shi,

Fang-Fang Liu,

Dmitry Kruchinin

Publication year - 2017

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2017054

Subject(s) - mathematics , logarithm , pure mathematics , bessel function , difference polynomials , exponential function , classical orthogonal polynomials , discrete orthogonal polynomials , bell polynomials , orthogonal polynomials , exponential polynomial , wilson polynomials , algebra over a field , mathematical analysis

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.

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