Generating Functions in Engineering and the Applied Sciences

Chattamvelli, Rajan, Shanmugam, Ramalingam

  • 出版商: Springer
  • 出版日期: 2023-01-02
  • 售價: $2,000
  • 貴賓價: 9.5$1,900
  • 語言: 英文
  • 頁數: 119
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031211421
  • ISBN-13: 9783031211423
  • 相關分類: 工程數學 Engineering-mathematics
  • 海外代購書籍(需單獨結帳)


Generating function (GF) is a mathematical technique to concisely represent a known ordered sequence into a simple continuous algebraic function in dummy variable(s). This Second Edition introduces commonly encountered generating functions (GFs) in engineering and applied sciences, such as ordinary GF (OGF), exponential GF (EGF), as also Dirichlet GF (DGF), Lambert GF (LGF), Logarithmic GF (LogGF), Hurwitz GF (HGF), Mittag-Lefler GF (MLGF), etc. This book is intended mainly for beginners in applied science and engineering fields to help them understand single-variable GFs and illustrate how to apply them in various practical problems. Specifically, the book discusses probability GFs (PGF), moment and cumulant GFs (MGF, CGF), mean deviation GFs (MDGF), survival function GFs (SFGF), rising and falling factorial GFs, factorial moment, and inverse factorial moment GFs. Applications of GFs in algebra, analysis of algorithms, bioinformatics, combinatorics, economics, finance, genomics, geometry, graph theory, management, number theory, polymer chemistry, reliability, statistics and structural engineering have been added to this new edition. This book is written in such a way that readers who do not have prior knowledge of the topic can easily follow through the chapters and apply the lessons learned in their respective disciplines.




Rajan Chattamvelli, Ph.D., is a Professor in the School of Advanced Sciences at Vellore Institute of Technology, Tamil Nadu, India. He has published more than 20 research articles in international journals, and his research interests include computational statistics, design of algorithms, parallel computing, data mining, machine learning, blockchain, combinatorics, and big data analytics.
Ramalingam Shanmugam, Ph.D., is an Honorary Professor in the School of Health Administration at Texas State University, San Marcos. He is the Editor-in-Chief of four journals including Advances in Life Sciences; Global Journal of Research and Review; Journal of Obesity and Metabolism; and the International Journal of Research in Medical Sciences. He has published more than 200 research articles and 120 conference papers. Dr. Shanmugam's research interests include theoretical and computational statistics, number theory, operations research, biostatistics, decision making, and epidemiology.


Rajan Chattamvelli博士是印度泰米爾納德邦Vellore理工學院高級科學學院的教授。他在國際期刊上發表了20多篇研究論文,他的研究興趣包括計算統計學、算法設計、並行計算、數據挖掘、機器學習、區塊鏈、組合數學和大數據分析。

Ramalingam Shanmugam博士是德克薩斯州立大學聖馬科斯分校健康管理學院的名譽教授。他是四本期刊的主編,包括《生命科學進展》、《全球研究與評論期刊》、《肥胖與代謝期刊》和《醫學科學研究國際期刊》。他發表了200多篇研究論文和120篇會議論文。Shanmugam博士的研究興趣包括理論和計算統計學、數論、運籌學、生物統計學、決策分析和流行病學。