Some properties of generelized hypergeometric Appell polynomials.
Słowa kluczowe:
Appell polynomials, Appell sequeence, hypergeometric function, generalized Hermite polynomialsAbstrakt
Some properties of generelized hypergeometric Appell polynomials.Bibliografia
P. Appell, Sur une classe de polynomes [On one class of polynomials], Annales scientifiques de l’E.N.S. 2e serie, tome 9, 1880, 119-144.
Y. Yang, C. Micek, Generalized Pascal functional matrix and its applications, Linear Algebra Appl. 423 (2007), 230–245.
F. A. Costabile, E. Longo. A determinantal approach to Appell polynomials, Journal of Computational and Applied Mathematics Volume 234, Issue 5, 1 July 2010, 1528-1542.
M. Hazewinkel, Appell polynomials, Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, (2001) [1994]. ISBN 978-1-55608-010-4.
H. W. Gould, A. T. Hopper Operational formulas connected with two generalizations of Hermite Polynomials, Duke Math. J., 29 (1962), 51–62.
H. M. Srivastava, H. L. Manocha, A treatise on generating functions, Horwood, 1984, 569 p.
Y. Ben Cheikh, H. Chaggara, Connection problems via lowering operators, Journal of Computational and Applied Mathematics Volume 178, Issues 1–2, 1 June 2005, 45-61.