A Handbook of Generalized Special Functions for Statistical and Physical Sciences

A Handbook of Generalized Special Functions for Statistical and Physical Sciences PDF Author: A. M. Mathai
Publisher: Oxford University Press, USA
ISBN:
Category : Mathematics
Languages : en
Pages : 264

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Book Description
Complicated generalized special functions such as Meijer's G-functions and functions of matrix arguments are here presented at a level suitable for every potential user. This handbook is thus a valuable reference source and a manual for researchers and advanced students in mathematical statistics, mathematical physics, several branches of mathematics, engineering problems, econometrics, and various applied areas where transcendental functions are used.

A Handbook of Generalized Special Functions for Statistical and Physical Sciences

A Handbook of Generalized Special Functions for Statistical and Physical Sciences PDF Author: A. M. Mathai
Publisher: Oxford University Press, USA
ISBN:
Category : Mathematics
Languages : en
Pages : 264

Get Book Here

Book Description
Complicated generalized special functions such as Meijer's G-functions and functions of matrix arguments are here presented at a level suitable for every potential user. This handbook is thus a valuable reference source and a manual for researchers and advanced students in mathematical statistics, mathematical physics, several branches of mathematics, engineering problems, econometrics, and various applied areas where transcendental functions are used.

Special Functions for Applied Scientists

Special Functions for Applied Scientists PDF Author: A.M. Mathai
Publisher: Springer Science & Business Media
ISBN: 0387758941
Category : Science
Languages : en
Pages : 480

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Book Description
This book, written by a highly distinguished author, provides the required mathematical tools for researchers active in the physical sciences. The book presents a full suit of elementary functions for scholars at PhD level. The opening chapter introduces elementary classical special functions. The final chapter is devoted to the discussion of functions of matrix argument in the real case. The text and exercises have been class-tested over five different years.

Special Functions

Special Functions PDF Author: Refaat El Attar
Publisher: Lulu.com
ISBN: 0557037638
Category : Technology & Engineering
Languages : en
Pages : 311

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Book Description
(Hardcover). This book is written to provide an easy to follow study on the subject of Special Functions and Orthogonal Polynomials. It is written in such a way that it can be used as a self study text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Special Functions and Orthogonal Polynomials that very often occur in engineering, physics, mathematics and applied sciences. The book is organized in chapters that are in a sense self contained. Chapter 1 deals with series solutions of Differential Equations. Gamma and Beta functions are studied in Chapter 2 together with other functions that are defined by integrals. Legendre Polynomials and Functions are studied in Chapter 3. Chapters 4 and 5 deal with Hermite, Laguerre and other Orthogonal Polynomials. A detailed treatise of Bessel Function in given in Chapter 6.

Special Functions: Fractional Calculus and the Pathway for Entropy

Special Functions: Fractional Calculus and the Pathway for Entropy PDF Author: Hans J. Haubold
Publisher: MDPI
ISBN: 3038426652
Category : Mathematics
Languages : en
Pages : 305

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Book Description
This book is a printed edition of the Special Issue "Special Functions: Fractional Calculus and the Pathway for Entropy Dedicated to Professor Dr. A.M. Mathai on the occasion of his 80th Birthday" that was published in Axioms

Finite Form Representations for Meijer G and Fox H Functions

Finite Form Representations for Meijer G and Fox H Functions PDF Author: Carlos A. Coelho
Publisher: Springer Nature
ISBN: 3030287904
Category : Mathematics
Languages : en
Pages : 529

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Book Description
This book depicts a wide range of situations in which there exist finite form representations for the Meijer G and the Fox H functions. Accordingly, it will be of interest to researchers and graduate students who, when implementing likelihood ratio tests in multivariate analysis, would like to know if there exists an explicit manageable finite form for the distribution of the test statistics. In these cases, both the exact quantiles and the exact p-values of the likelihood ratio tests can be computed quickly and efficiently. The test statistics in question range from common ones, such as those used to test e.g. the equality of means or the independence of blocks of variables in real or complex normally distributed random vectors; to far more elaborate tests on the structure of covariance matrices and equality of mean vectors. The book also provides computational modules in Mathematica®, MAXIMA and R, which allow readers to easily implement, plot and compute the distributions of any of these statistics, or any other statistics that fit into the general paradigm described here.

Proceedings of the Third UN/ESA/NASA Workshop on the International Heliophysical Year 2007 and Basic Space Science

Proceedings of the Third UN/ESA/NASA Workshop on the International Heliophysical Year 2007 and Basic Space Science PDF Author: Hans J. Haubold
Publisher: Springer Science & Business Media
ISBN: 3642033253
Category : Science
Languages : en
Pages : 190

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Book Description
This book represents Volume II of the Proceedings of the UN/ESA/NASA Workshop on the International Heliophysical Year 2007 and Basic Space Science, hosted by the National Astronomical Observatory of Japan, Tokyo, 18 - 22 June, 2007. It covers two programme topics explored in this and past workshops of this nature: (i) non-extensive statistical mechanics as applicable to astrophysics, addressing q-distribution, fractional reaction and diffusion, and the reaction coefficient, as well as the Mittag-Leffler function and (ii) the TRIPOD concept, developed for astronomical telescope facilities. The companion publication, Volume I of the proceedings of this workshop, is a special issue in the journal Earth, Moon, and Planets, Volume 104, Numbers 1-4, April 2009.

Special Functions and Orthogonal Polynomials

Special Functions and Orthogonal Polynomials PDF Author: Refaat El Attar
Publisher: Lulu.com
ISBN: 1411666909
Category : Mathematics
Languages : en
Pages : 312

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Book Description
(308 Pages). This book is written to provide an easy to follow study on the subject of Special Functions and Orthogonal Polynomials. It is written in such a way that it can be used as a self study text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Special Functions and Orthogonal Polynomials that very often occur in engineering, physics, mathematics and applied sciences. The book is organized in chapters that are in a sense self contained. Chapter 1 deals with series solutions of Differential Equations. Gamma and Beta functions are studied in Chapter 2 together with other functions that are defined by integrals. Legendre Polynomials and Functions are studied in Chapter 3. Chapters 4 and 5 deal with Hermite, Laguerre and other Orthogonal Polynomials. A detailed treatise of Bessel Function in given in Chapter 6.

NIST Handbook of Mathematical Functions Hardback and CD-ROM

NIST Handbook of Mathematical Functions Hardback and CD-ROM PDF Author: Frank W. J. Olver
Publisher: Cambridge University Press
ISBN: 0521192250
Category : Mathematics
Languages : en
Pages : 968

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Book Description
The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.

The Mathematica GuideBook for Symbolics

The Mathematica GuideBook for Symbolics PDF Author: Michael Trott
Publisher: Springer Science & Business Media
ISBN: 0387288155
Category : Computers
Languages : en
Pages : 1490

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Book Description
Provides reader with working knowledge of Mathematica and key aspects of Mathematica symbolic capabilities, the real heart of Mathematica and the ingredient of the Mathematica software system that makes it so unique and powerful Clear organization, complete topic coverage, and an accessible writing style for both novices and experts Website for book with additional materials: http://www/MathematicaGuideBooks.org Accompanying DVD containing all materials as an electronic book with complete, executable Mathematica 5.1 compatible code and programs, rendered color graphics, and animations

Solved Exercises in Fractional Calculus

Solved Exercises in Fractional Calculus PDF Author: Edmundo Capelas de Oliveira
Publisher: Springer
ISBN: 303020524X
Category : Technology & Engineering
Languages : en
Pages : 330

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Book Description
This book contains a brief historical introduction and state of the art in fractional calculus. The author introduces some of the so-called special functions, in particular, those which will be directly involved in calculations. The concepts of fractional integral and fractional derivative are also presented. Each chapter, except for the first one, contains a list of exercises containing suggestions for solving them and at last the resolution itself. At the end of those chapters there is a list of complementary exercises. The last chapter presents several applications of fractional calculus.