Mathematical essays in honor of Gian-Carlo Rota

Bruce E. Sagan, Richard P. Stanley, editors

[目次]

  • Rotafest prgramme
  • MacMahon's partition analysis - I the lecture hall partition theorem, George E.Andrews
  • the cd-index of zonotypes and arrangements, Louis J. Billera, Richard Ehrenbor and margar Readdy
  • letter-place methods and homotopy, David A. Buchsbaum
  • classification of trivectors in 6-D space, Wendy Chan
  • parameter augmentation for basic hypergeometric series I, William Y.C. Chen and Zhi-Guo Liu
  • unities and negation, Henry crapo and Claude le conte de Poly-Barbut
  • the would-be meth of targeted rings, ottavio M. D'Antona
  • lattice walks and primary decomposition, Persi diaconis, Dav Eisenbud and Bernd Sturmfels
  • natural exponential families and umbral calculus, A. di Bucchianico a D.E. Loeb
  • umbral calculus in hilbert space, A.di Bucchianico, D.E. Loeb and Gian-Carlo Rota
  • a strategy for determining polynomial orthogonality, J.M. Freeman
  • plethystic formulas and positivity q,t-kosta coefficinets, A.M. Garsia and J. Remmel
  • an alternative evaluation of the Andrews-Burge determinant, C. Krattenthaler
  • the number of points in a combinatorial geometry with no 8-point-line minors, Joseph E. Bonin and Joseph P.S. Kung
  • umbral shifts and symmetric functions of schur type, Miguel A. Mendez
  • an axiomization for cubic algebras, Colin Bailey and Joseph Oliveira
  • an elementar proof of Roichman's rule for irreducible characters of Iwahori-Hecke algebras of type A, Arun Ram
  • universal constructions in umbral calculus, Nigel Ray
  • hyperplane arrangements, parking functions an tree inversions, Richard P. Stanley
  • more orthogonal polynomials as moments, Mourad E.H. Ismail and Dennis Stanton
  • more orthogonal ploynomials as moments, Mourad E.H. Ismail and Dennis Stanton
  • difference equations via the classical umbral calculus, Brian D. Taylor
  • an analogy in geometric homology - rigidity and cofactors on geometric graphs, Walter Whiteley
  • the umbral calculus and identities for hypergeometric functions with special arguments, Jet Wimp
  • apologies to T.S. Eliot - rota nerds, J.S. Yang.

「Nielsen BookData」より

[目次]

  • MacMahon's Partition Analysis: I. The Lecture Hall Partition Theorem.- The cd-Index of Zonotopes and Arrangements.- Letter-Place Methods and Homotopy.- Classification of Trivectors in 6-D Space.- Parameter Augmentation for Basic Hypergeometric Series, I.- Unities and Negation.- The Would-Be Method of Targeted Rings.- Lattice Walks and Primary Decomposition.- Natural Exponential Families and Umbral Calculus.- Umbral Calculus in Hilbert Space.- A Strategy for Determining Polynomial Orthogonality.- Plethystic Formulas and Positivity for q, t-Kostka Coefficients.- An Alternative Evaluation of the Andrews-Burge Determinant.- The Number of Points in a Combinatorial Geometry with No 8-Point-Line Minors.- Umbral Shifts and Symmetric Functions of Schur Type.- An Axiomization for Cubic Algebras.- An Elementary Proof of Roichman's Rule for Irreducible Characters of Iwahori-Hecke Algebras of Type A.- Universal Constructions in Umbral Calculus.- Hyperplane Arrangements, Parking Functions and Tree Inversions.- More Orthogonal Polynomials as Moments.- Difference Equations via the Classical Umbral Calculus.- An Analogy in Geometric Homology: Rigidity and Cofactors on Geometric Graphs.- The Umbral Calculus and Identities for Hypergeometric Functions with Special Arguments.- Apologies to T.S. Eliot: The Rota Nerds.

「Nielsen BookData」より

この本の情報

書名 Mathematical essays in honor of Gian-Carlo Rota
著作者等 Rota, Gian-Carlo
Sagan, Bruce Eli
Stanley, Richard P
Stanley R. (Massachusetts Institute of Technology USA)
Sagan Bruce E.
シリーズ名 Progress in mathematics
出版元 Birkhäuser
刊行年月 c1998
ページ数 ix, 463 p.
大きさ 25 cm
ISBN 3764338725
0817638725
NCID BA35830391
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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