2006 / December Volume 1 No.4
Multivariate expansions associated with Sheffer-type polynomials and operators
| Published Date |
2006 / December
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|---|---|
| Title | Multivariate expansions associated with Sheffer-type polynomials and operators |
| Author | |
| Keyword |
Multivariate formal power series, multivariate Sheffer-type polynomials, multivariate Sheffer-type differential operators, multivariate weighted Stirling numbers, multivariate Riordan array pair, multivariate exponential polynomials , Multivariate formal power series, multivariate Sheer-type polynomials, multivariate Sheer-type dierential operators, multivariate weighted Stirling numbers, multivariate Riordan array pair, multivariate exponential polynomials
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| Pagination | 451-473 |
| Abstract | With the aid of multivariate Sheer-type polynomials and dierential operators, this paper provides two kinds of general expansion formulas, called respectively the first expansion formula and the second expansion formula, that yield a constructive solution to the problem of the expansion of $A(\hat{t})f\widehat{(g(t))}$ (a composition of any given formal power series) and the expansion of the multivariate entire functions in terms of multivariate Sheer-type
polynomials, which may be considered an application of the first expansion formula and the Sheer-type operators. The results are
applicable to combinatorics and special function theory.
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| AMS Subject Classification |
05A15, 11B73, 11B83, 13F25, 41A58
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| Received |
2006-07-05
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