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Algebraic and Algorithmic Aspects of Differential and Integral Operators

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Cover of 'Algebraic and Algorithmic Aspects of Differential and Integral Operators'

Table of Contents

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    Book Overview
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    Chapter 1 Constructions of Free Commutative Integro-Differential Algebras
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    Chapter 2 Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras
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    Chapter 3 Operational Calculi for Nonlocal Cauchy Problems in Resonance Cases
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    Chapter 4 Intertwining Laplace Transformations of Linear Partial Differential Equations
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    Chapter 5 Composing and Factoring Generalized Green’s Operators and Ordinary Boundary Problems
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    Chapter 6 Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach II
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    Chapter 7 Multivariate Dimension Polynomials of Inversive Difference Field Extensions
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    Chapter 8 Differential (Monoid) Algebra and More
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    Chapter 9 Exact Solution of Local and Nonlocal BVPs for the Laplace Equation in a Rectangle
Attention for Chapter 6: Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach II
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