ON SOME CLASSES OF INVERSE SERIES RELATIONS AND THEIR APPLICATIONS

Authors
CHU WC HSU LC
Citation
Wc. Chu et Lc. Hsu, ON SOME CLASSES OF INVERSE SERIES RELATIONS AND THEIR APPLICATIONS, Discrete mathematics, 123(1-3), 1993, pp. 3-15
Citations number
20
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Discrete mathematics → ACNP
ISSN journal
0012365X
Volume
123
Issue
1-3
Year of publication
1993
Pages
3 - 15
Database
ISI
SICI code
0012-365X(1993)123:1-3<3:OSCOIS>2.0.ZU;2-V
Abstract
This paper gives a brief exposition of several recent results obtained by the authors concerning some classes of inverse relations, includin g the general binomial-type inversions and two kinds of general Stirli ng reciprocal transforms. Also described are some applications of the related inversion techniques to combinatorics (including new proofs of Rogers-Ramanujan identities and MacMahon's master theorem), interpola tion methods and certain problems related to special polynomials and n umber sequences.