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Some Basic Hypergeometric Orthogonal Polynomials that Generalize Jacobi Polynomials

1985 Jacobi polynomials
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Release : 1985
Genre : Jacobi polynomials
Kind : eBook
Book Rating : 213/5 ( reviews)

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Book Synopsis Some Basic Hypergeometric Orthogonal Polynomials that Generalize Jacobi Polynomials by : Richard Askey

Download or read book Some Basic Hypergeometric Orthogonal Polynomials that Generalize Jacobi Polynomials written by Richard Askey. This book was released on 1985. Available in PDF, EPUB and Kindle. Book excerpt: A very general set of orthogonal polynomials in one variable that extends the classical polynomials is a set we called the q-Racah polynomials. In an earlier paper we gave the orthogonality relation for these polynomials when the orthogonality is purely discrete. We now give the weight function in the general case and a number of other properties of these very interesting orthogonal polynomials.

On Stochastic Differential Equations

1951 Differential equations
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Release : 1951
Genre : Differential equations
Kind : eBook
Book Rating : 041/5 ( reviews)

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Book Synopsis On Stochastic Differential Equations by : Kiyosi Itô

Download or read book On Stochastic Differential Equations written by Kiyosi Itô. This book was released on 1951. Available in PDF, EPUB and Kindle. Book excerpt:

Real Analysis

2015-11-02 Mathematics
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Release : 2015-11-02
Genre : Mathematics
Kind : eBook
Book Rating : 990/5 ( reviews)

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Book Synopsis Real Analysis by : Barry Simon

Download or read book Real Analysis written by Barry Simon. This book was released on 2015-11-02. Available in PDF, EPUB and Kindle. Book excerpt: A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 1 is devoted to real analysis. From one point of view, it presents the infinitesimal calculus of the twentieth century with the ultimate integral calculus (measure theory) and the ultimate differential calculus (distribution theory). From another, it shows the triumph of abstract spaces: topological spaces, Banach and Hilbert spaces, measure spaces, Riesz spaces, Polish spaces, locally convex spaces, Fréchet spaces, Schwartz space, and spaces. Finally it is the study of big techniques, including the Fourier series and transform, dual spaces, the Baire category, fixed point theorems, probability ideas, and Hausdorff dimension. Applications include the constructions of nowhere differentiable functions, Brownian motion, space-filling curves, solutions of the moment problem, Haar measure, and equilibrium measures in potential theory.

Modules over Commutative Regular Rings

1967 Commutative rings
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Release : 1967
Genre : Commutative rings
Kind : eBook
Book Rating : 70X/5 ( reviews)

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Book Synopsis Modules over Commutative Regular Rings by : Richard S. Pierce

Download or read book Modules over Commutative Regular Rings written by Richard S. Pierce. This book was released on 1967. Available in PDF, EPUB and Kindle. Book excerpt:

Stable Module Theory

1969 Commutative rings
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Release : 1969
Genre : Commutative rings
Kind : eBook
Book Rating : 947/5 ( reviews)

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Book Synopsis Stable Module Theory by : Maurice Auslander

Download or read book Stable Module Theory written by Maurice Auslander. This book was released on 1969. Available in PDF, EPUB and Kindle. Book excerpt: The notions of torsion and torsion freeness have played a very important role in module theory--particularly in the study of modules over integral domains. Furthermore, the use of homological techniques in this connection has been well established. It is the aim of this paper to extend these techniques and to show that this extension leads naturally to several new concepts (e.g. k-torsion freeness and Gorenstein dimension) which are useful in the classification of modules and rings.

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