A note on certain generating functions for the classical polynomials

Hari M. Srivastava

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1977)

  • Volume: 63, Issue: 5, page 328-333
  • ISSN: 0392-7881

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Srivastava, Hari M.. "A note on certain generating functions for the classical polynomials." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 63.5 (1977): 328-333. <http://eudml.org/doc/290159>.

@article{Srivastava1977,
author = {Srivastava, Hari M.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {11},
number = {5},
pages = {328-333},
publisher = {Accademia Nazionale dei Lincei},
title = {A note on certain generating functions for the classical polynomials},
url = {http://eudml.org/doc/290159},
volume = {63},
year = {1977},
}

TY - JOUR
AU - Srivastava, Hari M.
TI - A note on certain generating functions for the classical polynomials
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1977/11//
PB - Accademia Nazionale dei Lincei
VL - 63
IS - 5
SP - 328
EP - 333
LA - eng
UR - http://eudml.org/doc/290159
ER -

References

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  1. BRAFMAN, F. (1957) - Some generating functions for Laguerre and Hermite polynomials, «Canad. J. Math.», 9, 180-187. Zbl0078.25702MR85363DOI10.4153/CJM-1957-020-1
  2. BROWN, J. W. (1969) - New generating functions for classical polynomials, «Proc. Amer. Math. Soc.», 21, 263-268. Zbl0175.07302MR236438DOI10.2307/2036980
  3. CARLITZ, L. (1968) - Some generating functions for Laguerre polynomials, «Duke Math. J.», 35, 825-827. Zbl0167.35202MR240351
  4. GOULD, H. W. (1956) - Some generalizations of Vandermonde's convolution, «Amer. Math. Monthly», 63, 84-91. Zbl0072.00702MR75170DOI10.2307/2306429
  5. GOULD, H. W. and HOPPER, A. T. (1962) - Operational formulas connected with two generalizations of Hermite polynomials, «Duke Math. J.», 29, 51-63. Zbl0108.06504MR132853
  6. KRALL, H. L. and FRINK, O. (1949) - A new class of orthogonal polynomials: the Bessel polynomials, «Trans. Amer. Math. Soc.», 65, 100-115. Zbl0031.29701MR28473DOI10.2307/1990516
  7. PÓLYA, G. and SZEGÖ, G. (1972) - Problems and Theorems in Analysis, Vol. I (Translated from the German by D. Aeppli), Springer-Verlag, New York, Heidelberg and Berlin. MR344042
  8. RIORDAN, J. (1968) — Combinatorial Identities, John Wiley and Sons, Inc., New York, London and Sydney. Zbl0194.00502MR231725
  9. SHANKER, O. (1973) - On generating functions for classical polynomials, «J. Austral. Math. Soc.», 15, 389-392. Zbl0276.33025MR326026
  10. SRIVASTAVA, H. M. (1971) - A class of generating functions for generalized hypergeometric polynomials, «J. Math. Anal. Appl.», 35, 230-235. Zbl0212.40901MR277776DOI10.1016/0022-247X(71)90247-2
  11. SRIVASTAVA, H. M. and BUSCHMAN, R. G. (1975) - Some polynomials defined by generating relations, «Trans. Amer. Math. Soc.», 205, 360-370; see also Addendum, ibid., 226 (1977), 393-394. MR430365DOI10.2307/1997960
  12. ZEITLIN, D. (1970) — A new class of generating functions for hypergeometric polynomials, «Proc. Amer. Math. Soc.», 25, 405-412. Zbl0192.41501MR264123DOI10.2307/2037232

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