TheH-function or popularly known in the literature as Fox’sH-function has recently found applications in a large variety of problems connected with reaction, diffusion, reaction–diffusion, engineering and communication, fractional differ- tial and integral equations, many areas of theoretical physics, statistical distribution theory, etc. One of the standard books and most cited book on the topic is the 1978 book of Mathai and Saxena. Since then, the subject has grown a lot, mainly in the elds of applications. Due to popular demand, the authors were requested to - grade and bring out a revised edition of the 1978 book. It was decided to bring out a new book, mostly dealing with recent applications in statistical distributions, pa- way models, nonextensive statistical mechanics, astrophysics problems, fractional calculus, etc. and to make use of the expertise of Hans J. Haubold in astrophysics area also. It was decided to con ne the discussion toH-function of one scalar variable only. Matrix variable cases and many variable cases are not discussed in detail, but an insight into these areas is given. When going from one variable to many variables, there is nothing called a unique bivariate or multivariate analogue of a givenfunction. Whatever be the criteria used, there may be manydifferentfunctions quali ed to be bivariate or multivariate analogues of a given univariate function. Some of the bivariate and multivariateH-functions, currently in the literature, are also questioned by many authors.
Zusammenfassung: This volume collects papers based on lectures given at the XL Workshop on Geometric Methods in Physics, held in Białowieża, Poland in July 2023. These chapters provide readers an overview of cutting-edge research in infinite-dimensional groups, integrable systems, quantum groups, Lie algebras and their generalizations and a wide variety of other areas. Specific topics include: Yang-Baxter equation The restricted Siegel disc and restricted Grassmannian Geometric and deformation quantization Degenerate integrability Lie algebroids and groupoids Skew braces Geometric Methods in Physics XL will be a valuable resource for mathematicians and physicists interested in recent developments at the intersection of these areas
This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields.
The FeT series – Fieldbus Systems and their Applications Conferences started in 1995 in Vienna, Austria. Since FeT'2001 in Nancy, France, the conference became an IFAC – International Federation of Automatic Control sponsored event. These proceedings focus on 13 sessions, covering, fieldbus based systems, services, protocols and profiles, system integration with heterogeneous networks, management, real-time, safety, dependability and security, distributed embedded systems, wireless networking for field applications, education and emerging trends. Two keynote speeches from experts outside Europe are featured. The first one entitled "Bandwidth Allocation Scheme in Fieldbuses" by Prof. Seung Ho, Hanyang University, Korea. The second by, Prof. I.F. Akyildiz, Georgia Institute of Technology, USA, "Key Technologies for Wireless Networking in the Next Decade". - Featuring 36 high quality papers from 13 countries - Keynote speech reflecting the current interest of wireless communications for industrial applications - FeT'2005 was supported by a International Program Committee of around 40 members from 15 countries, 6 from Europe
A collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil. Topics in algebra theory include alternative, Bernstein, Jordan, lie, and Malcev algebras and superalgebras. The volume presents applications to population genetics theory, physics, and more.
Taurine, or 2aminoethanesulfonic acid, is one of the most abundant sulfurcontaining amino acids in the human body. It is found in the heart, brain, retina, and skeletal muscles, and is synthesized in the pancreas. Studies have revealed that taurine is of high physiological importance: it protects against pathologies associated with mitochondrial diseases, and linked processes like aging, metabolic syndrome, cancer, cardiovascular diseases, and neurological disorders. It is also used as a nutritional supplement. Taurine and the Mitochondrion: Applications in the Pharmacotherapy of Human Diseases explores the significance of taurine in the biology of mitochondria. It also explains its role as a pharmacological agent for treating different diseases. Readers will gain an insight into the crucial role it plays in human physiology and the benefits of taurine supplements. Topics covered in this reference include Synthesis of taurine and its dietary sources The Role of taurine in mitochondrial health Taurine as a neurotransmitter Beneficial effects of taurine in physiological systems such as the reproductive system, renal system, and the gastrointestinal tract Hepatoprotective and antiinflammatory properties of taurine The antiaging promise of taurine supplementation Role of taurine supplementation in obesity
This volume is dedicated to Professor Stefan Samko on the occasion of his seventieth birthday. The contributions display the range of his scientific interests in harmonic analysis and operator theory. Particular attention is paid to fractional integrals and derivatives, singular, hypersingular and potential operators in variable exponent spaces, pseudodifferential operators in various modern function and distribution spaces, as well as related applications, to mention but a few. Most contributions were firstly presented in two conferences at Lisbon and Aveiro, Portugal, in June‒July 2011.
The theory of modular forms and especially the so-called 'Ramanujan Conjectures' have been applied to resolve problems in combinatorics, computer science, analysis and number theory. This tract, based on the Wittemore Lectures given at Yale University, is concerned with describing some of these applications. In order to keep the presentation reasonably self-contained, Professor Sarnak begins by developing the necessary background material in modular forms. He then considers the solution of three problems: the Ruziewicz problem concerning finitely additive rotationally invariant measures on the sphere; the explicit construction of highly connected but sparse graphs: 'expander graphs' and 'Ramanujan graphs'; and the Linnik problem concerning the distribution of integers that represent a given large integer as a sum of three squares. These applications are carried out in detail. The book therefore should be accessible to a wide audience of graduate students and researchers in mathematics and computer science.