Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/120063
DC Field | Value | Language |
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dc.contributor | 應數系 | |
dc.creator | 蔡隆義 | zh_TW |
dc.creator | Tsai, Long-Yi | en_US |
dc.date | 2002 | |
dc.date.accessioned | 2018-09-11T10:01:27Z | - |
dc.date.available | 2018-09-11T10:01:27Z | - |
dc.date.issued | 2018-09-11T10:01:27Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/120063 | - |
dc.description.abstract | Let (z|α)n=z(z−α)⋯(z−nα+α). A "Stirling type pair``\n{S1(n,k),S2(n,k)}={S(n,k;α,β,r), S(n,k;β,α,−r)}\nis defined by means of\n(t|α)n=∑k=0nS1(n,k)(t−r|β)k,(t|β)n=∑k=0nS2(n,k)(t+r|α)k. By specializing the parameters α, β and r, one can obtain the Stirling numbers and various generalizations of the Stirling numbers. These definitions are not new; for example, S1(n,k) and S2(n,k) were defined and studied in [L. C. Hsu and H. Q. Yu, Appl. Math. J. Chinese Univ. Ser. B 12 (1997), no. 2, 225–232; MR1460101], where two of the generating functions in the present paper are given. See also [L. C. Hsu and P. J.-S. Shiue, Adv. in Appl. Math. 20 (1998), no. 3, 366–384; MR1618435], where many properties of S1 and S2 are worked out. Evidently, the paper under review is mainly concerned with proving generating functions and asymptotic expansions. | en_US |
dc.format.extent | 161 bytes | - |
dc.format.mimetype | text/html | - |
dc.relation | Analysis, combinatorics and computing, 397-417, Nova Sci. Publ., Hauppauge, NY, 2002 | |
dc.title | On generalized Stirling numbers | en_US |
dc.type | conference | |
item.fulltext | With Fulltext | - |
item.grantfulltext | restricted | - |
item.cerifentitytype | Publications | - |
item.openairetype | conference | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
Appears in Collections: | 會議論文 |
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