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Hypergeometric Orthogonal Polynomials and Their q-Analogues
Roelof Koekoek
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Description for Hypergeometric Orthogonal Polynomials and Their q-Analogues
Hardcover. This book classifies all families of orthogonal polynomials satisfying a second-order differential or difference equation with polynomial coefficients, which leads to the families of hypergeometric orthogonal polynomials belonging to the Askey scheme. Series: Springer Monographs in Mathematics. Num Pages: 597 pages, 2 black & white illustrations, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 244 x 166 x 39. Weight in Grams: 998.
The present book is about the Askey scheme and the q-Askey scheme, which are graphically displayed right before chapter 9 and chapter 14, respectively. The fa- lies of orthogonal polynomials in these two schemes generalize the classical orth- onal polynomials (Jacobi, Laguerre and Hermite polynomials) and they have pr- erties similar to them. In fact, they have properties so similar that I am inclined (f- lowing Andrews & Askey [34]) to call all families in the (q-)Askey scheme classical orthogonal polynomials, and to call the Jacobi, Laguerre and Hermite polynomials very classical orthogonal polynomials. These very classical orthogonal polynomials are ... Read more
The present book is about the Askey scheme and the q-Askey scheme, which are graphically displayed right before chapter 9 and chapter 14, respectively. The fa- lies of orthogonal polynomials in these two schemes generalize the classical orth- onal polynomials (Jacobi, Laguerre and Hermite polynomials) and they have pr- erties similar to them. In fact, they have properties so similar that I am inclined (f- lowing Andrews & Askey [34]) to call all families in the (q-)Askey scheme classical orthogonal polynomials, and to call the Jacobi, Laguerre and Hermite polynomials very classical orthogonal polynomials. These very classical orthogonal polynomials are ... Read more
Product Details
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Format
Hardback
Publication date
2010
Series
Springer Monographs in Mathematics
Condition
New
Weight
997g
Number of Pages
578
Place of Publication
Berlin, Germany
ISBN
9783642050138
SKU
V9783642050138
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Hypergeometric Orthogonal Polynomials and Their q-Analogues
From the reviews: The book starts with a brief but valuable foreword by Tom Koornwinder on the history of the classification problem for orthogonal polynomials. ... the ideal text for a graduate course devoted to the classification, and it is a valuable reference, which everyone who works in orthogonal polynomials will want to own. (Warren ... Read more