Operational derivation of some formulas for the Hermite and Laguerre polynomials.
Bollettino della Unione matematica italiana, Série 3, Tome 18 (1963) no. 4, pp. 358-363.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

@article{BUMI_1963_3_18_4_a2,
     author = {Al-Salam, W. A.},
     title = {Operational derivation of some formulas for the {Hermite} and {Laguerre}  polynomials.},
     journal = {Bollettino della Unione matematica italiana},
     pages = {358--363},
     publisher = {mathdoc},
     volume = {Ser. 3, 18},
     number = {4},
     year = {1963},
     zbl = {0122.06404},
     mrnumber = {164073},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_1963_3_18_4_a2/}
}
TY  - JOUR
AU  - Al-Salam, W. A.
TI  - Operational derivation of some formulas for the Hermite and Laguerre  polynomials.
JO  - Bollettino della Unione matematica italiana
PY  - 1963
SP  - 358
EP  - 363
VL  - 18
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_1963_3_18_4_a2/
LA  - en
ID  - BUMI_1963_3_18_4_a2
ER  - 
%0 Journal Article
%A Al-Salam, W. A.
%T Operational derivation of some formulas for the Hermite and Laguerre  polynomials.
%J Bollettino della Unione matematica italiana
%D 1963
%P 358-363
%V 18
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_1963_3_18_4_a2/
%G en
%F BUMI_1963_3_18_4_a2
Al-Salam, W. A. Operational derivation of some formulas for the Hermite and Laguerre  polynomials.. Bollettino della Unione matematica italiana, Série 3, Tome 18 (1963) no. 4, pp. 358-363. http://geodesic.mathdoc.fr/item/BUMI_1963_3_18_4_a2/

[1] H. Buchholz , Die konfluente Hypergeometrische Funktionen, Berlin, 1953. | MR | Zbl

[2] E. Feldheim , Développements en série de polynomes d'Hermite et de Laguerre à l'aide des transformations de Gauss et de Hankel III, Proc. Kon. Ned. Akad. v. Wetensch., Amsterdam, vol. 43 (1940), pp. 479-486. | MR | Zbl

[3] J.W.L. Glaisher , Theorems involving certain exponential operators, Quarterly J. of Mathematics, vol. 15 (1878), pp. 266-272. | Jbk 10.0200.03

[4] H. Gould and A. Hopper , Operational formulas connected with two generalizations of the Hermite polynomials, Duke Moth. J., vol. 29 (1962), pp. 51-64. | fulltext mini-dml | Zbl

[5] E. Rainville , Special functions, New York, 1960. | MR | Zbl

[6] P.G. Rooney , On the inversion of the Gauss Transformation, Canadian Journal of Mathematics, Vol. 9. (1957), pp. 459-464. | MR | Zbl