Some properties of generelized hypergeometric Appell polynomials.

Автор(и)

  • L. Bedratyuk Department of Computer Engineering and Systems Programming, Khmelnytskyi National University, Khmelnytskyi, Ukraine
  • N. Luno Department of Mathematics and Computer Science, Vasyl’ Stus Donetsk National University, Vinnytsya, Ukraine

Ключові слова:

Appell polynomials, Appell sequeence, hypergeometric function, generalized Hermite polynomials

Анотація

Some properties of generelized hypergeometric Appell polynomials.

Посилання

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.

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