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Mihoubi, Miloud; Sahari, Madjid

On some polynomials applied to the theory of hyperbolic differential equations. (English) Zbl 1465.11073

Online J. Anal. Comb. 15, Article 2, 18 p. (2020).
Summary: In this paper, we study a class of sequences of polynomials linked to the sequence of Bell polynomials. Some sequences of this class have applications on the theory of hyperbolic differential equations and other sequences generalize Laguerre polynomials and associated Lah polynomials. We discuss, for these polynomials, their explicit expressions, relations to the successive derivatives of a given function, real zeros and recurrence relations. Some known results are significantly simplified.

Cited in 1 Review
Cited in 3 Documents

MSC:

11B73 Bell and Stirling numbers
11B83 Special sequences and polynomials
12H20 Abstract differential equations

Keywords:

new class of polynomials; recurrence relations; real zeros; Bell polynomials; Laguerre polynomials; associated Lah polynomials
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References:

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