On the analytic conjugacy of Touchard polynomials and the polynomials quasi-orthogonal to them
Diskretnaya Matematika, Tome 14 (2002) no. 1, pp. 151-157

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We consider the Touchard polynomials, which are extensions of the Bell polynomials, and the $P$-polynomials which, together with the Touchard polynomials, form a quasi-orthogonal system. We establish analytical conjugacy of the Touchard polynomials and the $P$-polynomials, which allows us, in particular, to find a series of new recurrence relations for the $P$-polynomials.
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     author = {O. V. Kuz'min and O. V. Leonova},
     title = {On the analytic conjugacy of {Touchard} polynomials and the polynomials quasi-orthogonal to them},
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O. V. Kuz'min; O. V. Leonova. On the analytic conjugacy of Touchard polynomials and the polynomials quasi-orthogonal to them. Diskretnaya Matematika, Tome 14 (2002) no. 1, pp. 151-157. http://geodesic.mathdoc.fr/item/DM_2002_14_1_a10/