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Obtaining Generating Functions by Elna B. McBride (Paperback, 2012)

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This book is an introduction to the study of methods of obtaining generating functions. It is an expository work at the level of the beginning graduate student. The first part of Chapter I gives the reader the necessary definitions and basic concepts. The fundamental method of direct summation is explained and illustrated. The second part of Chapter I deals with the methods developed by Rainville. These methods are based principally on inventive manipulation of power series. Weisner's group-theoretic method is explained in detail in Chapter II and is further illustrated in Chapter III. When this method is applicable, it yields a set of at least three generating functions. In Chapter II for the Laguerre polynomials six generating functions were found. Truesdell's method is studied in Chapter IV. For a given set of functions {fez, an the success of this method depends on the existence of certain transformations. If fez, a) can be transformed into F(z, a) such that a a-; F(z, a)=F(z, a+ 1), or if fez, a) can be transformed into G(z, a) such that a a-; G(z, a)=G(z, a-I), then from each transformed function a generating function can be obtained. Truesdell's method for obtaining the transformed functions does not require any ingenuity on the user's part. Truesdell has shown how these simple results may be exploited to generate more complicated results by means of specified, systematic, and general processes. His method of obtaining generating functions is only one of these results.

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783642876844
eBay Product ID (ePID)
117483044

Product Key Features

Author
Elna B. Mcbride
Publication Name
Obtaining Generating Functions
Format
Paperback
Language
English
Subject
Education
Publication Year
2012
Type
Study Guide
Number of Pages
104 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
21
Item Weight
185g

Additional Product Features

Title_Author
Elna B. Mcbride
Series Title
Springer Tracts in Natural Philosophy
Country/Region of Manufacture
Germany

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Obtaining Generating Functions by Elna B. McBride (Paperback, 2012)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

A guide to the Project Management Body of Knowledge (PMBOK guide) and the Standard for project management by Project Management Institute (Paperback, 2021)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

Polyvagal Exercises for Safety and Connection: 50 Client-Centered Practices by Deb Dana (Paperback, 2020)

Save on Adult Learning & University

Ford Falcon EF, EL/Fairlane NF, NL/LTD DF, DL 1994-1998 Haynes Workshop Manual

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Michael Price Nick Vandome Windows 11 for Seniors in easy steps (Paperback)

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