Copy to Wikibooks (Study Guide): List of Recipes, Frobenius Solution to the Hypergeometric Equation, Fuel Economy-Maximizing Behaviors Books LLC

ISBN: 9781155525006

Published: August 13th 2011

Paperback

160 pages


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Copy to Wikibooks (Study Guide): List of Recipes, Frobenius Solution to the Hypergeometric Equation, Fuel Economy-Maximizing Behaviors  by  Books LLC

Copy to Wikibooks (Study Guide): List of Recipes, Frobenius Solution to the Hypergeometric Equation, Fuel Economy-Maximizing Behaviors by Books LLC
August 13th 2011 | Paperback | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 160 pages | ISBN: 9781155525006 | 8.30 Mb

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Commentary (books not included). Pages: 55. Chapters: List of recipes, Citation signal, Frobenius solution to theMorePlease note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.

Commentary (books not included). Pages: 55. Chapters: List of recipes, Citation signal, Frobenius solution to the hypergeometric equation, Fuel economy-maximizing behaviors, Denotational semantics of the Actor model, Actor model and process calculi, Actor model and process calculi history, Example Pictor Decoder, Actor model implementation, Actor model theory, Scientific community metaphor, GPS in the Earthmoving Industry, Management of Pacific Northwest riparian forests, History of the Actor model, Actor model later history, Actor model middle history, Alternate Air Ticket POS, Example Pictor Encoder, Diamond drilling porcelain, Specialized journals, Divinity, Chemical safety signs, Sussex Pond Pudding, Fmask.

Excerpt: In the following we solve the second-order differential equation called the hypergeometric differential equation using Frobenius method, named after Ferdinand Georg Frobenius. This is a method that uses the series solution for a differential equation, where we assume the solution takes the form of a series.

This is usually the method we use for complicated ordinary differential equations. The solution of the hypergeometric differential equation is very important. For instance, Legendres differential equation can be shown to be a special case of the hypergeometric differential equation. Hence, by solving the hypergeometric differential equation, one may directly compare its solutions to get the solutions of Legendres differential equation, after making the necessary substitutions.

For more details, please check the hypergeometric differential equation. We shall prove that this equation has three singularities, namely at x = 0, x = 1 and around infinity. However, as these will turn out to be regular singular points, we will be able to assume a solution on the form of a series. Since this is a second-order differential eq...



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