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Author : H. M. Srivastava,Per Wennerberg Karlsson
Publisher : Ellis Horwood
Page : 438 pages
File Size : 46,8 Mb
Release : 1985
Category : Convergence
ISBN : UCAL:B4406735
Author : Hari Mohan Srivastava
Publisher : Unknown
Page : 0 pages
File Size : 54,7 Mb
Release : 1985
Category : Electronic
ISBN : 047020043X
Author : Nathan Jacob Fine
Publisher : American Mathematical Soc.
Page : 142 pages
File Size : 41,9 Mb
Release : 1988
Category : Mathematics
ISBN : 9780821815243
The theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian series. These series were first studied systematically by Heine, but many early results are attributed to Euler, Gauss, and Jacobi. This book provides a simple approach to basic hypergeometric series.
Author : Mourad Ismail,Dennis W. Stanton
Publisher : American Mathematical Soc.
Page : 446 pages
File Size : 42,6 Mb
Release : 2000
Category : Mathematics
ISBN : 9780821811504
This volume presents the proceedings of the Summer Research Conference on q-series and related topics held at Mount Holyoke College (Hadley, Massachusetts). All of the papers were contributed by participants and offer original research. Articles in the book reflect the diversity of areas that overlap with q-series, as well as the usefulness of q-series across the mathematical sciences. The conference was held in honour of Richard Askey on the occasion of his 65th birthday.
Author : Thomas Ernst
Publisher : Springer Science & Business Media
Page : 491 pages
File Size : 50,5 Mb
Release : 2012-09-13
Category : Mathematics
ISBN : 9783034804318
To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Apart from a thorough review of the historical development of q-calculus, this book also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few.
Author : Johannes Blümlein,Carsten Schneider
Publisher : Springer Nature
Page : 551 pages
File Size : 53,5 Mb
Release : 2021-11-26
Category : Science
ISBN : 9783030802196
This volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in October 2020, and a few additional invited reviews. The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics.
Author : Hari M Srivastava,Junesang Choi
Publisher : Elsevier
Page : 675 pages
File Size : 54,8 Mb
Release : 2011-10-11
Category : Mathematics
ISBN : 9780123852199
Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions. Many of the chapters and sections of the book have been significantly modified or rewritten, and a new chapter on the theory and applications of the basic (or q-) extensions of various special functions is included. This book will be invaluable because it covers not only detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions, but stimulating historical accounts of a large number of problems and well-classified tables of series and integrals. Detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions
Author : Dumitru Baleanu,Devendra Kumar
Publisher : Frontiers Media SA
Page : 93 pages
File Size : 52,6 Mb
Release : 2019-11-15
Category : Electronic
ISBN : 9782889459582
Author : Thomas Beyer,Ewald Moser,Dieter W. Heermann,Christian F. Klingenberg,James Sauls,José W. F. Valle,Jan de Boer,Emilio Elizalde,Dumitru Baleanu,Alex Hansen,Nicholas X. Fang,Lorenzo Pavesi,Bretislav Friedrich,Christine Charles,Matjaž Perc,Jasper Van Der Gucht,Rudolf von Steiger,Claudio Bogazzi
Publisher : Frontiers Media SA
Page : 190 pages
File Size : 41,9 Mb
Release : 2019-02-22
Category : Electronic
ISBN : 9782889458042
Launched in 2013, Frontiers in Physics consists of 18 specialties covering all areas of research in physics. With over 500 published manuscripts, the journal is now indexed in SCIE with the first impact factor coming in 2019. Frontiers in Physics aims to become the largest and most cited open access multidisciplinary physics journal. This eBook collects what the Specialty Chief Editors of the journal believed were the most interesting manuscripts published over the past two years. It is a nice collection, which will offer the reader the chance to have a quick overview of the specialties of the journal and offer a glimpse into the state of the art of physics. We must confess that it has been quite challenging to select only one article per specialty section given the many important manuscripts published by the journal in 2017 and 2018. We invite our reader to have a look at the journal homepage and browse what we have published so far. It includes articles on topics very different from each other, written by both early career scientists and well-known researchers, ranging from the indisputable advance of the field to the more bold. We hope you enjoy reading our first edition of the Frontiers in Physics Editor's Choice eBook! Professor Alex Hansen (Field Chief Editor) and Dr Claudio Bogazzi (Journal Manager)
Author : Michael Ruzhansky,Yeol Je Cho,Praveen Agarwal,Iván Area
Publisher : Birkhäuser
Page : 301 pages
File Size : 52,7 Mb
Release : 2017-10-03
Category : Mathematics
ISBN : 9789811043376
This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples. The topics include real and complex analysis, special functions and analytic number theory, q-series, Ramanujan’s mathematics, fractional calculus, Clifford and harmonic analysis, graph theory, complex analysis, complex dynamical systems, complex function spaces and operator theory, geometric analysis of complex manifolds, geometric function theory, Riemannian surfaces, Teichmüller spaces and Kleinian groups, engineering applications of complex analytic methods, nonlinear analysis, inequality theory, potential theory, partial differential equations, numerical analysis , fixed-point theory, variational inequality, equilibrium problems, optimization problems, stability of functional equations, and mathematical physics. It includes papers presented at the 24th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (24ICFIDCAA), held at the Anand International College of Engineering, Jaipur, 22–26 August 2016. The book is a valuable resource for researchers in real and complex analysis.
Author : Themistocles M. Rassias,Panos M. Pardalos
Publisher : Springer Nature
Page : 694 pages
File Size : 44,8 Mb
Release : 2019-12-12
Category : Mathematics
ISBN : 9783030313395
An international community of experts scientists comprise the research and survey contributions in this volume which covers a broad spectrum of areas in which analysis plays a central role. Contributions discuss theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more. This volume is useful to graduate students and researchers working in mathematics, physics, engineering, and economics.
Author : Rekha Srivastava
Publisher : MDPI
Page : 318 pages
File Size : 44,7 Mb
Release : 2021-04-06
Category : Mathematics
ISBN : 9783036500324
This volume is a collection of investigations involving the theory and applications of the various tools and techniques of mathematical analysis and analytic number theory, which are remarkably widespread in many diverse areas of the mathematical, biological, physical, chemical, engineering, and statistical sciences. It contains invited and welcome original as well as review-cum-expository research articles dealing with recent and new developments on the topics of mathematical analysis and analytic number theory as well as their multidisciplinary applications.
Author : A. M. Mathai
Publisher : Unknown
Page : 122 pages
File Size : 41,7 Mb
Release : 1993
Category : Hypergeometric functions
ISBN : UOM:39015034906118
Author : Harendra Singh,H. M. Srivastava,Juan J. Nieto
Publisher : CRC Press
Page : 236 pages
File Size : 40,8 Mb
Release : 2022-02-17
Category : Technology & Engineering
ISBN : 9781000540109
Fractional calculus is used to model many real-life situations from science and engineering. The book includes different topics associated with such equations and their relevance and significance in various scientific areas of study and research. In this book readers will find several important and useful methods and techniques for solving various types of fractional-order models in science and engineering. The book should be useful for graduate students, PhD students, researchers and educators interested in mathematical modelling, physical sciences, engineering sciences, applied mathematical sciences, applied sciences, and so on. This Handbook: Provides reliable methods for solving fractional-order models in science and engineering. Contains efficient numerical methods and algorithms for engineering-related equations. Contains comparison of various methods for accuracy and validity. Demonstrates the applicability of fractional calculus in science and engineering. Examines qualitative as well as quantitative properties of solutions of various types of science- and engineering-related equations. Readers will find this book to be useful and valuable in increasing and updating their knowledge in this field and will be it will be helpful for engineers, mathematicians, scientist and researchers working on various real-life problems.
Author : Chief Editor- Biplab Auddya, Editor- Prof Deepali Virmani, Shivam Kumar Upadhyay, Lalit Mohan, Pooja Singh, Dr Pallavi Arya, Dr R. Vijayalakshmi
Publisher : The Hill Publication
Page : 74 pages
File Size : 46,8 Mb
Release : 2023-12-12
Category : Antiques & Collectibles
ISBN : 9788196679958