SpringerBriefs in Mathematics

On the Higher-Order Sheffer Orthogonal Polynomial Sequences

Authors: Galiffa, Daniel J.

  • Addresses preliminary insights regarding  the characterization of Orthogonal Polynomial Sequences    
  • Gives a concise and informative overview of the development of the B- Type 0 Orthogonal Polynomail Sequences   
  • Functions as a template for which other polynomial sequences can be analyzed
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eBook $39.99
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  • ISBN 978-1-4614-5969-9
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Softcover $54.99
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  • ISBN 978-1-4614-5968-2
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About this book

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.

Table of contents (3 chapters)

  • The Sheffer A-Type 0 Orthogonal Polynomial Sequences and Related Results

    Galiffa, Daniel Joseph

    Pages 1-33

  • Some Applications of the Sheffer A-Type 0 Orthogonal Polynomial Sequences

    Galiffa, Daniel Joseph

    Pages 35-66

  • A Method for Analyzing a Special Case of the Sheffer B-Type 1 Polynomial Sequences

    Galiffa, Daniel Joseph

    Pages 67-106

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-1-4614-5969-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-1-4614-5968-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
On the Higher-Order Sheffer Orthogonal Polynomial Sequences
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Daniel J. Galiffa
eBook ISBN
978-1-4614-5969-9
DOI
10.1007/978-1-4614-5969-9
Softcover ISBN
978-1-4614-5968-2
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XII, 106
Number of Illustrations and Tables
2 b/w illustrations
Topics