Generating Functions in Engineering and the Applied Sciences

[ FreeCourseWeb.com ] Generating Functions in Engineering and the Applied Sciences



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English | 2019 | ISBN: 1681736403 | 117 pages | PDF | 1.56 MB



This is an introductory book on generating functions (GFs) and their applications.



It discusses commonly encountered generating functions in engineering and applied sciences, such as ordinary generating functions (OGF), exponential generating functions (EGF), probability generating functions (PGF), etc. Some new GFs like Pochhammer generating functions for both rising and falling factorials are introduced in Chapter 2. Two novel GFs called "mean deviation generating function" (MDGF) and "survival function generating function" (SFGF), are introduced in Chapter 3. The mean deviation of a variety of discrete distributions are derived using the MDGF. The last chapter discusses a large number of applications in various disciplines including algebra, analysis of algorithms, polymer chemistry, combinatorics, graph theory, number theory, reliability, epidemiology, bio-informatics, genetics, management, economics, and statistics.



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