001446311 000__ 03675cam\a2200613Ii\4500
001446311 001__ 1446311
001446311 003__ OCoLC
001446311 005__ 20230310003950.0
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001446311 019__ $$a1313478928
001446311 020__ $$a9783030941512$$q(electronic bk.)
001446311 020__ $$a3030941515$$q(electronic bk.)
001446311 020__ $$z9783030941505
001446311 020__ $$z3030941507
001446311 0247_ $$a10.1007/978-3-030-94151-2$$2doi
001446311 035__ $$aSP(OCoLC)1313386370
001446311 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCF$$dSFB$$dUKAHL$$dOCLCQ
001446311 049__ $$aISEA
001446311 050_4 $$aQA297.4
001446311 08204 $$a511/.1$$223/eng/20220504
001446311 1001_ $$aShapiro, Louis,$$d1941-$$eauthor.
001446311 24514 $$aThe Riordan group and applications /$$cLouis Shapiro, Renzo Sprugnoli, Paul Barry, Gi-Sang Cheon, Tian-Xiao He, Donatella Merlini, Weiping Wang.
001446311 264_1 $$aCham :$$bSpringer,$$c[2022]
001446311 264_4 $$c©2022
001446311 300__ $$a1 online resource :$$billustrations (some color).
001446311 336__ $$atext$$btxt$$2rdacontent
001446311 337__ $$acomputer$$bc$$2rdamedia
001446311 338__ $$aonline resource$$bcr$$2rdacarrier
001446311 4901_ $$aSpringer monographs in mathematics
001446311 504__ $$aIncludes bibliographical references and index.
001446311 5050_ $$a1 Introduction -- 2 Extraction of coefficients and generating functions -- 3 The Riordan group -- 4 Characterization of Riordan arrays by special sequences -- 5 Combinatorial sums and inversions -- 6 Generalized Riordan arrays -- 7 Extensions of the Riordan group -- 8 q-analogs of Riordan arrays -- 9 Orthogonal polynomials. Solutions -- Index.
001446311 506__ $$aAccess limited to authorized users.
001446311 520__ $$aThe ever-growing applications and richness of approaches to the Riordan group is captured in this comprehensive monograph, authored by those who are among the founders and foremost world experts in this field. The concept of a Riordan array has played a unifying role in enumerative combinatorics over the last three decades. The Riordan arrays and Riordan group is a new growth point in mathematics that is both being influenced by, and continuing its contributions to, other fields such as Lie groups, elliptic curves, orthogonal polynomials, spline functions, networks, sequences and series, Beal conjecture, Riemann hypothesis, to name several. In recent years the Riordan group has made links to quantum field theory and has become a useful tool for computer science and computational chemistry. We can look forward to discovering further applications to unexpected areas of research. Providing a baseline and springboard to further developments and study, this book may also serve as a text for anyone interested in discrete mathematics, including combinatorics, number theory, matrix theory, graph theory, and algebra.
001446311 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed May 4, 2022).
001446311 650_0 $$aDiscrete mathematics.
001446311 650_0 $$aCombinatorial analysis.
001446311 655_0 $$aElectronic books.
001446311 655_7 $$aLlibres electrònics.$$2thub
001446311 7001_ $$aSprugnoli, Renzo,$$d1942-$$eauthor.
001446311 7001_ $$aBarry, Paul,$$d1966-$$eauthor.
001446311 7001_ $$aCheon, Gi-Sang,$$eauthor.
001446311 7001_ $$aHe, Tian-Xiao,$$d1952-$$eauthor.
001446311 7001_ $$aMerlini, Donatella,$$eauthor.
001446311 7001_ $$aWang, Weiping,$$eauthor.
001446311 77608 $$iPrint version: $$z3030941507$$z9783030941505$$w(OCoLC)1287924922
001446311 830_0 $$aSpringer monographs in mathematics.
001446311 852__ $$bebk
001446311 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-94151-2$$zOnline Access$$91397441.1
001446311 909CO $$ooai:library.usi.edu:1446311$$pGLOBAL_SET
001446311 980__ $$aBIB
001446311 980__ $$aEBOOK
001446311 982__ $$aEbook
001446311 983__ $$aOnline
001446311 994__ $$a92$$bISE