Treffer: Generalizations of the Bernoulli and Appell polynomials

Title:
Generalizations of the Bernoulli and Appell polynomials
Authors:
Bretti Gabriella, Natalini Pierpaolo, Ricci Paolo Emilio
Source:
Abstract and Applied Analysis, Vol 2004, Iss 7, Pp 613-623 (2004)
Abstr. Appl. Anal. 2004, no. 7 (2004), 613-623
Publisher Information:
Wiley, 2004.
Publication Year:
2004
Subject Terms:
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Bernoulli polynomials, QA1-939, multidimensional extensions, 0101 mathematics, 34A35, Bernoulli and Euler numbers and polynomials, Appell polynomials, 01 natural sciences, Mathematics, 33C99
Document Type:
Fachzeitschrift Article<br />Other literature type
File Description:
application/xml; application/pdf
Language:
English
ISSN:
1687-0409
1085-3375
DOI:
10.1155/s1085337504306263
Access URL:
http://downloads.hindawi.com/journals/aaa/2004/350120.pdf
https://zbmath.org/2163678
https://doi.org/10.1155/s1085337504306263
https://doaj.org/article/2df8c26f919f402db13cd7bf943f2dc6
https://www.hindawi.com/journals/aaa/2004/350120/
https://downloads.hindawi.com/journals/aaa/2004/350120.pdf
https://www.iac.rm.cnr.it/~bretti/BNR04.pdf
https://projecteuclid.org/download/pdfview_1/euclid.aaa/1089229150
http://www.iac.rm.cnr.it/~bretti/BNR04.pdf
https://eudml.org/doc/51674
https://hdl.handle.net/11590/155482
https://hdl.handle.net/11573/2471
http://projecteuclid.org/euclid.aaa/1089229150
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....b3c36add87c37c614ad13b4f24aea8f8
Database:
OpenAIRE

Weitere Informationen

We first introduce a generalization of the Bernoulli polynomials, and consequently of the Bernoulli numbers, starting from suitable generating functions related to a class of Mittag‐Leffler functions. Furthermore, multidimensional extensions of the Bernoulli and Appell polynomials are derived generalizing the relevant generating functions, and using the Hermite‐Kampé de Fériet (or Gould‐Hopper) polynomials. The main properties of these polynomial sets are shown. In particular, the differential equations can be constructed by means of the factorization method.