Báo cáo toán học: "Finite Rogers-Ramanujan Type Identities" pps

... many series-product identites which resemble the Rogers-Ramanujan iden- tities in form, and are thus called “identities of the Rogers-Ramanujan type. ” The sem- inal papers in the subject from ... of the Rogers-Ramanujan type as a part of her Ph.D. thesis and published them in [68]. An annotated version of Slater’s list is included as Appendix 1. Much of the early history of the Rog...

Ngày tải lên: 07/08/2014, 07:21

... are called the Abel -type identities involving double summations. We show the identities here first and then give their proofs in the third Section. Theorem 1.1 (Th e Abel -type identities) Assume ... z are real numbers. In this paper we deduce several polynomials expansions, referred to as Abel -type identities, by using Foata’s method, and also show some of their applications. 1 Introduct...

Ngày tải lên: 08/08/2014, 11:20

... obesity are major risk factors for a number of chronic diseases such as cardiovascular disease, type 2 diabetes, hypertension, osteoporosis, and certain cancers. The U.S. Surgeon General’s 2010 ... Economic Analysis, U.S. Department of Commerce: Personal Consumption Expenditures (PCE) by Major Type of Product, 2009. [ http://www.bea.gov/national/nipaweb/selectTable.asp?Selected=n...

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Ngày tải lên: 07/08/2014, 06:22

... a uniform partition system. the electronic journal of combinatorics 12 (2005), #N20 4 A Sperner -Type Theorem for Set-Partition Systems Karen Meagher Department of Mathematics and Statistics University ... k-partition system of an n-set for any k and n. 1 Introduction In this paper, we prove a Sperner -type theorem for systems of set partitions and re- lated results. These theorems are stat...

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Ngày tải lên: 05/08/2014, 09:46