| 书目名称 | Generating Functions in Engineering and the Applied Sciences | | 编辑 | Rajan Chattamvelli,Ramalingam Shanmugam | | 视频video | | | 丛书名称 | Synthesis Lectures on Engineering, Science, and Technology | | 图书封面 |  | | 描述 | .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...Some background knowledge on GFs is often assumed for courses in analysis of algorithms, advanced data structures, digital signal processing (DSP), graph theory, etc. These are usually provided by either a course on "discrete mathematics" or "introduction to comb | | 出版日期 | BookLatest edition | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-79410-0 | | issn_series | 2690-0300 | | copyright | Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 16:46:42
