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The Mathieu series is a functional series introduced by Émile Léonard 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 distributionis 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.
This volume brings together the world's leading experts on disgust to fully explore this understudied behavior. Disgust is unique among emotions. It is, at once, perhaps the most ¿basic¿ and visceral of feelings while also being profoundly shaped by learning and culture. Evident from the earliest months of life, disgust influences individual behavior and shapes societies across political, social, economic, legal, ecological, and health contexts. As an emotion that evolved to prevent our eating contaminated foods, disgust is now known to motivate wider behaviors, social processes, and customs. On a global scale, disgust finds a place in population health initiatives, from hand hygiene to tobacco warning labels, and may underlie aversions to globalization and other progressive agendas, such as those regarding sustainable consumption and gay marriage.This comprehensive work provides cutting¿edge, timely, and succinct theoretical and empirical contributions illustrating thebreadth, rigor, relevance, and increasing maturity of disgust research to modern life. It is relevant to a wide range of psychological research and is particularly important to behavior viewed through an evolutionary lens, As such, it will stimulate further research and clinical applications that allow for a broader conceptualization of human behavior.The reader will find:Succinct and accessible summaries of key perspectivesHighlights of new scientific developmentsA rich blend of theoretical and empirical chapters
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