Series Of Bessel And Kummer Type Functions
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Series Of Bessel And Kummer Type Functions
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Author : Árpád Baricz
language : en
Publisher: Springer
Release Date : 2018-03-24
Series Of Bessel And Kummer Type Functions written by Árpád Baricz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-24 with Mathematics categories.
This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlömilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions. The aim is also to find the coefficients of the Neumann and Kapteyn series, as well as closed-form expressions and summation formulas for the series of Bessel functions considered. Some integral representations are deduced using techniques from the theory of differential equations. The text is aimed at a mathematical audience, including graduate students and those in the scientific community who are interested in a new perspective on Fourier–Bessel series, and their manifold and polyvalent applications, mainly in general classical analysis, applied mathematics and mathematical physics.
Algorithmic Combinatorics Enumerative Combinatorics Special Functions And Computer Algebra
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Author : Veronika Pillwein
language : en
Publisher: Springer Nature
Release Date : 2020-09-28
Algorithmic Combinatorics Enumerative Combinatorics Special Functions And Computer Algebra written by Veronika Pillwein and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-28 with Computers categories.
The book is centered around the research areas of combinatorics, special functions, and computer algebra. What these research fields share is that many of their outstanding results do not only have applications in Mathematics, but also other disciplines, such as computer science, physics, chemistry, etc. A particular charm of these areas is how they interact and influence one another. For instance, combinatorial or special functions' techniques have motivated the development of new symbolic algorithms. In particular, first proofs of challenging problems in combinatorics and special functions were derived by making essential use of computer algebra. This book addresses these interdisciplinary aspects. Algorithmic aspects are emphasized and the corresponding software packages for concrete problem solving are introduced. Readers will range from graduate students, researchers to practitioners who are interested in solving concrete problems within mathematics and other research disciplines.
Transmutation Operators And Applications
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Author : Vladislav V. Kravchenko
language : en
Publisher: Springer Nature
Release Date : 2020-04-11
Transmutation Operators And Applications written by Vladislav V. Kravchenko and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-11 with Mathematics categories.
Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and equations, special functions, harmonic analysis, potential theory, and generalized analytic functions. This volume explores recent advances in the construction and applications of transmutation operators, while also sharing some interesting historical notes on the subject.
A Treatise On The Theory Of Bessel Functions
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Author : G. N. Watson
language : en
Publisher: Cambridge University Press
Release Date : 1995-08-25
A Treatise On The Theory Of Bessel Functions written by G. N. Watson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-08-25 with Mathematics categories.
This monumental 1995 treatise by the late Professor G. N. Watson wil be indispensable to mathematicians and physicists.
The Lambert W Function
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Author : Istvan Mezo
language : en
Publisher: CRC Press
Release Date : 2022-04-10
The Lambert W Function written by Istvan Mezo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-10 with Mathematics categories.
This book is the very first one in the English language entirely dedicated to the Lambert W function, its generalizations, and its applications. One goal is to promote future research on the topic. The book contains all the information one needs when trying to find a result. The most important formulas and results are framed. The Lambert W function is a multi-valued inverse function with plenty of applications in areas like molecular physics, relativity theory, fuel consumption models, plasma physics, analysis of epidemics, bacterial growth models, delay differential equations, fluid mechanics, game theory, statistics, study of magnetic materials, and so on. The first part of the book gives a full treatise of the W function from theoretical point of view. The second part presents generalizations of this function which have been introduced by the need of applications where the classical W function is insufficient. The third part presents a large number of applications from physics, biology, game theory, bacterial cell growth models, and so on. The second part presents the generalized Lambert functions based on the tools we had developed in the first part. In the third part familiarity with Newtonian physics will be useful. The text is written to be accessible for everyone with only basic knowledge on calculus and complex numbers. Additional features include the Further Notes sections offering interesting research problems and information for further studies. Mathematica codes are included. The Lambert function is arguably the simplest non-elementary transcendental function out of the standard set of sin, cos, log, etc., therefore students who would like to deepen their understanding of real and complex analysis can see a new “almost elementary” function on which they can practice their knowledge.
Advanced Control Methods For Industrial Processes
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Author : Pablo A. López-Pérez
language : en
Publisher: John Wiley & Sons
Release Date : 2025-03-20
Advanced Control Methods For Industrial Processes written by Pablo A. López-Pérez and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-20 with Technology & Engineering categories.
A detailed introduction to mathematical models for new and established control engineers Control engineering is a system that helps us understand electrical, physical, chemical, and biochemical systems through the use of mathematical modeling, using inputs, outputs, and simulations. These experimental platforms are implemented in most systems of modern advanced control engineering. Advanced Control Methods for Industrial Processes provides a solid grounding in traditional control techniques. It emphasizes practical application methods alongside the underlying theory and core instrumentation. Each chapter discusses the full profile of the technology covered, from the field layer and control layer to its implementation. It also includes the interfaces for advanced control systems: between controllers and systems theory, between different layers, and between operators-systems. Through an emphasis on the practical issues of components, devices, and hardware circuits, the book offers working principles and operation mechanisms that allow an engineer to put theory into practice for the advanced control techniques. Advanced Control Methods for Industrial Processes readers will also find: A practical overview on advanced control methods applied to real-time and in-silico systems Specific parameters, install procedures, calibration and configuration methodologies necessary to conduct the relevant models Clear insights into the necessary mathematical models Tutorial material to facilitate the understanding of core concepts Advanced Control Methods for Industrial Processes is an ideal companion for process engineers, control engineers, and chemists in industry.
Inverse Problems Modelling And Simulation
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Author : Alemdar Hasanov Hasanoğlu
language : en
Publisher: Springer Nature
Release Date : 2025-07-17
Inverse Problems Modelling And Simulation written by Alemdar Hasanov Hasanoğlu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-17 with Mathematics categories.
This volume presents the latest theoretical and experimental advancements in the field of inverse problems in recent years. It includes outstanding research results that reflect current theoretical and numerical aspects of inverse problems and their various applications. The volume is a collection of selected contributions from nearly three hundred invited presentations at the International Conference "Inverse Problems: Modelling and Simulation" (IPMS 2024) held from May 26 to June 1, 2024, in Malta. The topics covered in this volume are closely related to emerging deterministic and stochastic models in the fields of medical imaging, biology, geophysics, radar, computer science, communication theory, signal processing, visualization, engineering, and economics. The contributions in this volume reflect a broad range of problems in the theory and applications of inverse problems that are useful for mathematicians, physicists, engineers, and researchers working with inverse problems.
Asymptotic Methods For Integrals
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Author : Nico M Temme
language : en
Publisher: World Scientific
Release Date : 2014-10-31
Asymptotic Methods For Integrals written by Nico M Temme and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-31 with Mathematics categories.
This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals.The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.
Nist Handbook Of Mathematical Functions Hardback And Cd Rom
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Author : Frank W. J. Olver
language : en
Publisher: Cambridge University Press
Release Date : 2010-05-17
Nist Handbook Of Mathematical Functions Hardback And Cd Rom written by Frank W. J. Olver and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-17 with Mathematics categories.
The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.
Geometric Function Theory And Related Topics
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Author : Sudeb Mitra
language : en
Publisher: American Mathematical Society
Release Date : 2025-06-03
Geometric Function Theory And Related Topics written by Sudeb Mitra and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-03 with Mathematics categories.
This volume contains the proceedings of the 29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, held August 21–25, 2023, at Pondicherry University, Puducherry, India. It covers a wide range of papers on complex analysis and provides a broad survey of the present state of research in various aspects of geometric function theory. The papers in this volume reflect the directions of research in different areas of finite- and infinite-dimensional complex analysis and also give the reader an idea of how these branches of complex analysis intersect with other areas of mathematics. They will be suitable for specialists as well as aspiring researchers who are interested in various areas of geometric function theory.