Mathematical Essays in honor of Gian-Carlo Rota

Table of Contents

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   Book Overview
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   Chapter 1 MacMahon’s Partition Analysis: I. The Lecture Hall Partition Theorem
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   Chapter 2 The cd-Index of Zonotopes and Arrangements
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   Chapter 3 Letter-Place Methods and Homotopy
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   Chapter 4 Classification of Trivectors in 6-D Space
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   Chapter 5 Parameter Augmentation for Basic Hypergeometric Series, I
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   Chapter 6 Unities and Negation
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   Chapter 7 The Would-Be Method of Targeted Rings
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   Chapter 8 Lattice Walks and Primary Decomposition
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    Chapter 9 Natural Exponential Families and Umbral Calculus
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    Chapter 10 Umbral Calculus in Hilbert Space
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    Chapter 11 A Strategy for Determining Polynomial Orthogonality
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    Chapter 12 Plethystic Formulas and Positivity for q,t -Kostka Coefficients
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    Chapter 13 An Alternative Evaluation of the Andrews-Burge Determinant
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    Chapter 14 The Number of Points in a Combinatorial Geometry with No 8-Point-Line Minors
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    Chapter 15 Umbral Shifts and Symmetric Functions of Schur Type
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    Chapter 16 An Axiomization for Cubic Algebras
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    Chapter 17 An Elementary Proof of Roichman’s Rule for Irreducible Characters of Iwahori-Hecke Algebras of Type A
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    Chapter 18 Universal Constructions in Umbral Calculus
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    Chapter 19 Hyperplane Arrangements, Parking Functions and Tree Inversions
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    Chapter 20 More Orthogonal Polynomials as Moments
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    Chapter 21 Difference Equations via the Classical Umbral Calculus
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    Chapter 22 An Analogy in Geometric Homology: Rigidity and Cofactors on Geometric Graphs
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    Chapter 23 The Umbral Calculus and Identities for Hypergeometric Functions with Special Arguments