Bell polynomials and differential equations of Freud-type polynomials
Mathematical and Computer Modelling, 2002 The authors derive differential equations satisfied by a class of Freud-type polynomials by using elementary properties of the Bell polynomials, and the classical factorization method. The method of derivation is an interesting one.
A. Bernardini, Paolo Ricci
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Context-Free Grammars for Several Triangular Arrays
Axioms, 2022 In this paper, we present a unified grammatical interpretation of the numbers that satisfy a kind of four-term recurrence relation, including the Bell triangle, the coefficients of modified Hermite polynomials, and the Bessel polynomials.
Roberta Rui Zhou, Jean Yeh, Fuquan Ren
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Generalized Super Bell Polynomials with Applications to Superymmetric Equations [PDF]
, 2022 Engui Fan, Y.C. Hon
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Differential equations associated with generalized Bell polynomials and their zeros
Open Mathematics, 2016 In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials.
Ryoo Seoung Cheon
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Extended r-central Bell polynopmials with umbral calculus viewpoint
Advances in Difference Equations, 2019 Recently, extended r-central factorial numbers of the second kind and extended r-central Bell polynomials were introduced and various results of them were investigated.
Lee-Chae Jang +3 more
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Relations among Bell polynomials, central factorial numbers, and central Bell polynomials
Mathematical Sciences and Applications E-Notes, 2019 In the note, by virtue of the Fa\`a di Bruno formula and two identities for the Bell polynomials of the second kind, the authors derive three relations among the Bell polynomials, central factorial numbers of the second kind, and central Bell polynomials.
Feng Qi, Bai-Ni Guo
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Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers
Open Mathematics, 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 degenerate ...
Qi Feng +2 more
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A Generalized Representation of Faá di Bruno's Formula Using Multivariate Bell Polynomials [PDF]
, 2023 Michael P. Evers, Markus Kontny
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Some identities involving derangement polynomials and r-Bell polynomials
AIMS MathematicsIn this paper two kinds of identities involving derangement polynomials and $ r $-Bell polynomials were established. The identities of the first kind extended the identity on derangement numbers and Bell numbers due to Clarke and Sved and its ...
Aimin Xu
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Some identities of fully degenerate Dowling and fully degenerate Bell polynomials arising from lambda-umbral calculus [PDF]
, 2022 Yuankui Ma +3 more
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