The H-functions of One and Two Variables, with Applications PDF Download

Author: H. M. Srivastava
Publisher:
ISBN:
Category : Functions of complex variables
Languages : en
Pages : 324

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Book Description
On special functions of mathematical analysis concerning single and double contour integrals.

Author: A.M. Mathai
Publisher: Springer Science & Business Media
ISBN: 1441909168
Category : Science
Languages : en
Pages : 276

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Book Description
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.

Author: Rudolf Gorenflo
Publisher: Springer
ISBN: 3662439301
Category : Mathematics
Languages : en
Pages : 443

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Book Description
As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community. Focusing on the theory of the Mittag-Leffler functions, the present volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to the applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular the Mittag-Leffler functions allow us to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and its successors. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, theory of control and several other related areas.

Author: Dr. Tripati Gupta
Publisher: Shineeks Publishers
ISBN: 9693392515
Category : Education
Languages : en
Pages : 50

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Book Description
It is with great pleasure that I introduce the first edition of the book titled “Applications of Special Functions and Fractional Calculus in Statistics and Other Fields” to our esteemed readers. In today’s world of science and technology, mathematics plays a vital role in opening new horizons of intellectual exploration. This comprehensive book is divided into three chapters, providing readers with a deep understanding of the power and versatility of special functions. The concepts are presented in a clear and accessible manner, accompanied by practical examples that demonstrate their application. Whether you are a student, researcher, or practitioner in the fields of mathematics or engineering physics, this book serves as an indispensable resource for comprehending and utilizing special functions to address various problems. It equips readers with the essential tools to navigate the complexities of these functions and apply them effectively in their respective disciplines. With its rich content and practical approach, “Applications of Special Functions and Fractional Calculus in Statistics and Other Fields” promises to be an invaluable companion for those seeking a comprehensive understanding of special functions and their real-world implications.

Author: Sergio Albeverio
Publisher: Cambridge University Press
ISBN: 9780521419291
Category : Mathematics
Languages : en
Pages : 528

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Book Description
A collection of essays by many of the closest co-workers of Raphael Høegh-Krohn.

Author: Vladimir Vasilyev
Publisher: Springer Nature
ISBN: 3031285050
Category : Mathematics
Languages : en
Pages : 294

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Book Description
This book contains reports made at the International Conference on Differential Equations, Mathematical Modeling and Computational Algorithms, held in Belgorod, Russia, in October 2021 and is devoted to various aspects of the theory of differential equations and their applications in various branches of science. Theoretical papers devoted to the qualitative analysis of emerging mathematical objects, theorems of the existence and uniqueness of solutions to the boundary value problems under study are presented, and numerical algorithms for their solution are described. Some issues of mathematical modeling are also covered; in particular, in problems of economics, computational aspects of the theory of differential equations and boundary value problems are studied. The articles are written by well-known experts and are interesting and useful to a wide audience: mathematicians, representatives of applied sciences and students and postgraduates of universities engaged in applied mathematics.

Author:
Publisher: World Scientific
ISBN: 9812835636
Category : Mathematics
Languages : en
Pages : 1497

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Book Description
International ISAAC (International Society for Analysis, its Applications and Computation) Congresses have been held every second year since 1997. The proceedings report on a regular basis on the progresses of the field in recent years, where the most active areas in analysis, its applications and computation are covered. Plenary lectures also highlight recent results. This volume concentrates mainly on partial differential equations, but also includes function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 350 participants attending the congress, the book comprises 140 papers from 211 authors. The volume also serves for transferring personal information about the ISAAC and its members. This volume includes citations for O. Besov, V. Burenkov and R.P. Gilbert on the occasion of their anniversaries.

Author: Joseph Klafter
Publisher: World Scientific
ISBN: 9814340588
Category : Mathematics
Languages : en
Pages : 530

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Book Description
This volume provides the latest developments in the field of fractional dynamics, which covers fractional (anomalous) transport phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum field theory. The contributors are selected based on their active and important contributions to their respective topics. This volume is the first of its kind that covers such a comprehensive range of topics in fractional dynamics. It will point out to advanced undergraduate and graduate students, and young researchers the possible directions of research in this subject. In addition to those who intend to work in this field and those already in the field, this volume will also be useful for researchers not directly involved in the field, but want to know the current status and trends of development in this subject. This latter group includes theoretical chemists, mathematical biologists and engineers.

Author: Sergio Albeverio
Publisher: Springer Science & Business Media
ISBN: 9400928939
Category : Mathematics
Languages : en
Pages : 418

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Book Description
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. O. K. Chesterton. The Scandal of Father 'The Hermit Qad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu!ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Author: Anatoly Kochubei
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110570637
Category : Mathematics
Languages : en
Pages : 752

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Book Description
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.