Operational derivation of some formulas for the Hermite and Laguerre polynomials.

W. A. Al-Salam

Bollettino dell'Unione Matematica Italiana (1963)

  • Volume: 18, Issue: 4, page 358-363
  • ISSN: 0392-4041

How to cite

top

Al-Salam, W. A.. "Operational derivation of some formulas for the Hermite and Laguerre polynomials.." Bollettino dell'Unione Matematica Italiana 18.4 (1963): 358-363. <http://eudml.org/doc/196202>.

@article{Al1963,
author = {Al-Salam, W. A.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {special functions},
language = {eng},
month = {12},
number = {4},
pages = {358-363},
publisher = {Zanichelli},
title = {Operational derivation of some formulas for the Hermite and Laguerre polynomials.},
url = {http://eudml.org/doc/196202},
volume = {18},
year = {1963},
}

TY - JOUR
AU - Al-Salam, W. A.
TI - Operational derivation of some formulas for the Hermite and Laguerre polynomials.
JO - Bollettino dell'Unione Matematica Italiana
DA - 1963/12//
PB - Zanichelli
VL - 18
IS - 4
SP - 358
EP - 363
LA - eng
KW - special functions
UR - http://eudml.org/doc/196202
ER -

References

top
  1. BUCHHOLZ, H., Die konfluente Hypergeometrische Funktionen, Berlin, 1953. Zbl0050.07402MR54783
  2. FELDHEIM, E., 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. Zbl0023.03103MR1401
  3. GLAISHER, J.W.L., Theorems involving certain exponential operators, Quarterly J. of Mathematics, vol. 15 (1878), pp. 266-272. JFM10.0200.03
  4. GOULD, H. and HOPPER, A., Operational formulas connected with two generalizations of the Hermite polynomials, Duke Moth. J., vol. 29 (1962), pp. 51-64. Zbl0108.06504
  5. RAINVILLE, E., Special functions, New York, 1960. Zbl0092.06503MR107725
  6. ROONEY, P.G., On the inversion of the Gauss Transformation, Canadian Journal of Mathematics, Vol. 9. (1957), pp. 459-464. Zbl0078.09904MR86936

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.