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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{DM_2002_14_1_a10,
     author = {O. V. Kuz'min and O. V. Leonova},
     title = {On the analytic conjugacy of {Touchard} polynomials and the polynomials quasi-orthogonal to them},
     journal = {Diskretnaya Matematika},
     pages = {151--157},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2002_14_1_a10/}
}
TY  - JOUR
AU  - O. V. Kuz'min
AU  - O. V. Leonova
TI  - On the analytic conjugacy of Touchard polynomials and the polynomials quasi-orthogonal to them
JO  - Diskretnaya Matematika
PY  - 2002
SP  - 151
EP  - 157
VL  - 14
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_2002_14_1_a10/
LA  - ru
ID  - DM_2002_14_1_a10
ER  - 
%0 Journal Article
%A O. V. Kuz'min
%A O. V. Leonova
%T On the analytic conjugacy of Touchard polynomials and the polynomials quasi-orthogonal to them
%J Diskretnaya Matematika
%D 2002
%P 151-157
%V 14
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2002_14_1_a10/
%G ru
%F DM_2002_14_1_a10
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/

[1] Touchard J., “Sur les cycles des substitutious”, Acta Math., 70 (1939), 243–279 | DOI | MR

[2] Chrysaphinou O., “On Touchard polynomials”, Discrete Math, 54 (1985), 143–152 | DOI | MR | Zbl

[3] Kuzmin O. V., Leonova O. V., “Polinomy Tushara i im kvaziortogonalnye”, Optimizatsiya, upravlenie, intellekt, no. 3, IDSTU SO RAN, Irkutsk, 1999, 218–227

[4] Kuzmin O. V., Leonova O. V., “Polinomy Tushara i ikh prilozheniya”, Diskretnaya matematika, 12:3 (2000), 60–71 | Zbl

[5] Platonov M. L., Kombinatornye chisla klassa otobrazhenii i ikh prilozheniya, Nauka, Moskva, 1979 | MR

[6] Platonov M. L., “Kombinatornye polinomy v algebre operatorov, perestanovochnykh so sdvigom”, Diskretnaya matematika, 4:1 (1992), 33–49 | MR

[7] Kuzmin O. V., “Rekurrentnye sootnosheniya i perechislitelnye interpretatsii nekotorykh kombinatornykh chisel i polinomov”, Diskretnaya matematika, 6:3 (1994), 39–49 | MR | Zbl