Generalized Bell numbers and algebraic differential equations

Toufik Mansour; Matthias Schork

Generalized Bell numbers and algebraic differential equations

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown that the exponential generating function of the generalized Bell numbers introduced recently by the authors satis es an algebraic differential equation in analogy to the case of the conventional Bell numbers. Several examples are discussed explicitly.

Original language	English
Pages (from-to)	131–142
Journal	Pure Mathematics and Applications
Volume	23
State	Published - 12 Mar 2012

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Mansour, T., & Schork, M. (2012). Generalized Bell numbers and algebraic differential equations. Pure Mathematics and Applications, 23, 131–142. https://www.researchgate.net/profile/Toufik-Mansour/publication/235899318_Generalized_Bell_numbers_and_algebraic_differential_equations/links/00b49528677cd638d8000000/Generalized-Bell-numbers-and-algebraic-differential-equations.pdf

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author = "Toufik Mansour and Matthias Schork",

year = "2012",

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language = "אנגלית",

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Mansour, T & Schork, M 2012, 'Generalized Bell numbers and algebraic differential equations', Pure Mathematics and Applications, vol. 23, pp. 131–142. <https://www.researchgate.net/profile/Toufik-Mansour/publication/235899318_Generalized_Bell_numbers_and_algebraic_differential_equations/links/00b49528677cd638d8000000/Generalized-Bell-numbers-and-algebraic-differential-equations.pdf>

TY - JOUR

T1 - Generalized Bell numbers and algebraic differential equations

AU - Mansour, Toufik

AU - Schork, Matthias

PY - 2012/3/12

Y1 - 2012/3/12

N2 - It is shown that the exponential generating function of the generalized Bell numbers introduced recently by the authors satis es an algebraic differential equation in analogy to the case of the conventional Bell numbers. Several examples are discussed explicitly.

AB - It is shown that the exponential generating function of the generalized Bell numbers introduced recently by the authors satis es an algebraic differential equation in analogy to the case of the conventional Bell numbers. Several examples are discussed explicitly.

M3 - מאמר

SN - 1218-4586

VL - 23

SP - 131

EP - 142

JO - Pure Mathematics and Applications

JF - Pure Mathematics and Applications

ER -

Generalized Bell numbers and algebraic differential equations

Abstract

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