Generalized Mathieu Series: Mathieu Series - Rilegato

Tomovski, Ivorad; Lekovski, Delco; Gerhold, Stefan

Rilegato

ISBN 10: 3030848167 ISBN 13: 9783030848163

Casa editrice: Springer Nature, 2021

Riassunto

<p>The Mathieu series is a functional series introduced by&nbsp;Émile Léonard&nbsp;Mathieu for the purposes of his research on the elasticity of solid bodies. Bounds for this series are needed for solving biharmonic equations in a rectangular domain. In addition to Tomovski and his coauthors, Pogany, Cerone, H. M. Srivastava, J. Choi, etc. are some of the known authors who published results concerning the Mathieu series, its generalizations and their alternating variants. Applications of these results are given in classical, harmonic and numerical analysis, analytical number theory, special functions, mathematical physics, probability, quantum field theory, quantum physics, etc. Integral representations, analytical inequalities, asymptotic expansions and behaviors of some classes of Mathieu series are presented in this book. A systematic study of probability density functions and probability distributions associated with the Mathieu series, its generalizations and Planck’s distribution is also presented. The book is addressed at graduate and PhD students and researchers in mathematics and physics who are interested in special functions, inequalities and probability distributions.</p><br>

Su questo libro

Informazioni sull'autore

<p><b>Stefan Gerhold</b> is a full professor in the research unit of financial and actuarial mathematics, TU Wien, Austria. He holds a PhD from Johannes Kepler University, Linz and has published approximately 50 papers in peer-reviewed journals. His main research interests are mathematical finance and probability theory, with a focus on asymptotic methods, as well as special functions and symbolic computation.</p><p><b>Delco Leškovski</b> is an assistant professor at International Balkan University, Republic of North Macedonia. His research interests include mathematical analysis, special functions, Mathieu series, probability and statistics and differential equations. He is an author or coauthor of several articles in mathematical peer-reviewed journals.</p><p><b>Živorad Tomovski</b> has held the position of full professor since 2010 at the Ss. Cyril and Methodius University of Skopje, North Macedonia. He held visiting researcher positions at many prestigious universities and research institutes across Europe. Since 2021, he has been an associate professor of applied analysis and probability and statistics at the University of Ostrava, Czech Republic. He has published 1 Springer book and over 100 international papers in the areas of pure and applied mathematics.</p>

Dalla quarta di copertina

<p>The Mathieu series is a functional series introduced by&nbsp;Émile Léonard&nbsp;Mathieu for the purposes of his research on the elasticity of solid bodies. Bounds for this series are needed for solving biharmonic equations in a rectangular domain. In addition to Tomovski and his coauthors, Pogany, Cerone, H. M. Srivastava, J. Choi, etc. are some of the known authors who published results concerning the Mathieu series, its generalizations and their alternating variants. Applications of these results are given in classical, harmonic and numerical analysis, analytical number theory, special functions, mathematical physics, probability, quantum field theory, quantum physics, etc. Integral representations, analytical inequalities, asymptotic expansions and behaviors of some classes of Mathieu series are presented in this book. A systematic study of probability density functions and probability distributions associated with the Mathieu series, its generalizations and Planck’s distribution is also presented. The book is addressed at graduate and PhD students and researchers in mathematics and physics who are interested in special functions, inequalities and probability distributions.</p>

Dettagli dell'edizione

• Editore: Springer Nature
• Data di pubblicazione: 2021
• Lingua: Inglese
• ISBN 10: 3030848167
• ISBN 13: 9783030848163
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 176
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania