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Solving systems of polynomial equations
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ISBN: 0821832514 9780821832516 Year: 2002 Volume: 97 Publisher: Providence: American mathematical society,

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Cinquante ans de polynômes
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ISBN: 3540521909 0387521909 3540469192 9783540521907 Year: 1990 Volume: 1415 Publisher: Berlin: Springer,

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The bispectral problem
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ISBN: 0821809490 9780821809495 Year: 1998 Volume: 14 Publisher: Providence (R.I.): American mathematical society,

Orthogonal polynomials: theory and practice
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ISBN: 0792305698 9401067112 9400905017 9780792305699 Year: 1990 Volume: 294 Publisher: Dordrecht: Kluwer,


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On the higher-order sheffer orthogonal polynomial sequences
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ISSN: 21918189 ISBN: 1461459680 1461459699 1283945916 Year: 2013 Publisher: New York : Springer,

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On the Higher-Order Sheffer Orthogonal Polynomial Sequences sheds light on the existence/non-existence of B-Type 1 orthogonal polynomials. This book presents a template for analyzing potential orthogonal polynomial sequences including additional higher-order Sheffer classes. This text not only shows that there are no OPS for the special case the B-Type 1 class, but that there are no orthogonal polynomial sequences for the general B-Type 1 class as well. Moreover, it is quite provocative how the seemingly subtle transition from the B-Type 0 class to the B-Type 1 class leads to a drastically more difficult characterization problem. Despite this issue, a procedure is established that yields a definite answer to our current characterization problem, which can also be extended to various other characterization problems as well. Accessible to undergraduate students in the mathematical sciences and related fields, This book functions as an important reference work regarding the Sheffer sequences. The author takes advantage of Mathematica 7 to display unique detailed code and increase the reader's understanding of the implementation of Mathematica 7 and facilitate further experimentation. In addition, this book provides an excellent example of how packages like Mathematica 7 can be used to derive rigorous mathematical results.


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Approximation and computation : in honor of Gradimir V. Milovanovic
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ISBN: 1441965939 9786612973710 1282973711 1441965947 Year: 2011 Publisher: New York : Springer,

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Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters, dedicated to the renowned mathematician Gradimir V. Milovanović, represent the recent work of experts in the fields of approximation theory and numerical analysis. These invited contributions describe new trends in these important areas of research including theoretic developments, new computational algorithms, and multidisciplinary applications. Special features of this volume: - Presents results and approximation methods in various computational settings including polynomial and orthogonal systems, analytic functions, and differential equations. - Provides a historical overview of approximation theory and many of its subdisciplines. - Contains new results from diverse areas of research spanning mathematics, engineering, and the computational sciences. "Approximation and Computation" is intended for mathematicians and researchers focusing on approximation theory and numerical analysis, but can also be a valuable resource to students and researchers in engineering and other computational and applied sciences.

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