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Integrals of Bessel Functions

Integrals of Bessel Functions PDF Author: Yudell L. Luke
Publisher: Courier Corporation
ISBN: 0486799395
Category : Mathematics
Languages : en
Pages : 432

Book Description
A massive compendium of useful information, this volume represents a valuable tool for applied mathematicians in many areas of academia and industry. A dozen useful tables supplement the text. 1962 edition.

Integrals of Bessel Functions

Integrals of Bessel Functions PDF Author: Yudell L. Luke
Publisher: Courier Corporation
ISBN: 0486799395
Category : Mathematics
Languages : en
Pages : 432

Book Description
A massive compendium of useful information, this volume represents a valuable tool for applied mathematicians in many areas of academia and industry. A dozen useful tables supplement the text. 1962 edition.

Integrals of Bessel Functions

Integrals of Bessel Functions PDF Author: Yudell L. Luke
Publisher: Courier Corporation
ISBN: 0486789691
Category : Mathematics
Languages : en
Pages : 436

Book Description
A massive compendium of useful information, this volume represents a valuable tool for applied mathematicians in many areas of academia and industry. A dozen useful tables supplement the text. 1962 edition.

Introduction to Bessel Functions

Introduction to Bessel Functions PDF Author: Frank Bowman
Publisher: Courier Corporation
ISBN: 0486152995
Category : Mathematics
Languages : en
Pages : 148

Book Description
Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems.

Bessel Functions and Their Applications

Bessel Functions and Their Applications PDF Author: B G Korenev
Publisher: CRC Press
ISBN: 9780203216927
Category : Mathematics
Languages : en
Pages : 290

Book Description
Bessel functions are associated with a wide range of problems in important areas of mathematical physics. Bessel function theory is applied to problems of acoustics, radio physics, hydrodynamics, and atomic and nuclear physics. Bessel Functions and Their Applications consists of two parts. In Part One, the author presents a clear and rigorous intro

A Treatise on the Theory of Bessel Functions

A Treatise on the Theory of Bessel Functions PDF Author: George Neville Watson
Publisher:
ISBN:
Category : Bessel functions
Languages : en
Pages : 836

Book Description


Table of Integrals, Series, and Products

Table of Integrals, Series, and Products PDF Author: I. S. Gradshteyn
Publisher: Academic Press
ISBN: 1483265641
Category : Mathematics
Languages : en
Pages : 1207

Book Description
Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers.

Tables of Laplace Transforms

Tables of Laplace Transforms PDF Author: F. Oberhettinger
Publisher: Springer Science & Business Media
ISBN: 3642656455
Category : Mathematics
Languages : en
Pages : 438

Book Description
This material represents a collection of integrals of the Laplace- and inverse Laplace Transform type. The usef- ness of this kind of information as a tool in various branches of Mathematics is firmly established. Previous publications include the contributions by A. Erdelyi and Roberts and Kaufmann (see References). Special consideration is given to results involving higher functions as integrand and it is believed that a substantial amount of them is presented here for the first time. Greek letters denote complex parameters within the given range of validity. Latin letters denote (unless otherwise stated) real positive parameters and a possible extension to complex values by analytic continuation will often pose no serious problem. The authors are indebted to Mrs. Jolan Eross for her tireless effort and patience while typing this manu script. Oregon State University Corvallis, Oregon Eastern Michigan University Ypsilanti, Michigan The Authors Contents Part I. Laplace Transforms In troduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1 General Formulas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 2 Algebraic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1. 3 Powers of Arbitrary Order. . . . . . . . . . . . . . . . . . . . . . . . 21 1. 4 Sectionally Rational- and Rows of Delta Functions 28 1. 5 Exponential Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 1. 6 Logarithmic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 1. 7 Trigonometric Functions. . . . . . . . . . . . . . . . . . . . . . . . . . 54 1. 8 Inverse Trigonometric Functions. . . . . . . . . . . . . . . . . . 81 1. 9 Hyperbolic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 1. 10 Inverse Hyperbolic Functions. . . . . . . . . . . . . . . . . . . . . 99 1. 11 Orthogonal Polynomials . . . . . . . •. . . . . . . . . . . . . . . . . . . 103 1. 12 Legendre Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 1. 13 Bessel Functions of Order Zero and Unity . . . . . . . . . 119 1. 14 Bessel Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 1. 15 Modified Bessel Functions . . . . . . . . . . . . . . . . . . . . . . . .

Handbook of Mathematical Functions

Handbook of Mathematical Functions PDF Author: Milton Abramowitz
Publisher: Courier Corporation
ISBN: 9780486612720
Category : Mathematics
Languages : en
Pages : 1068

Book Description
An extensive summary of mathematical functions that occur in physical and engineering problems

Formulas and Theorems for the Special Functions of Mathematical Physics

Formulas and Theorems for the Special Functions of Mathematical Physics PDF Author: Wilhelm Magnus
Publisher: Springer Science & Business Media
ISBN: 3662117614
Category : Science
Languages : en
Pages : 516

Book Description
This is a new and enlarged English edition of the book which, under the title "Formeln und Satze fur die Speziellen Funktionen der mathe matischen Physik" appeared in German in 1946. Much of the material (part of it unpublished) did not appear in the earlier editions. We hope that these additions will be useful and yet not too numerous for the purpose of locating .with ease any particular result. Compared to the first two (German) editions a change has taken place as far as the list of references is concerned. They are generally restricted to books and monographs and accomodated at the end of each individual chapter. Occasional references to papers follow those results to which they apply. The authors felt a certain justification for this change. At the time of the appearance of the previous edition nearly twenty years ago much of the material was scattered over a number of single contributions. Since then most of it has been included in books and monographs with quite exhaustive bibliographies. For information about numerical tables the reader is referred to "Mathematics of Computation", a periodical publis hed by the American Mathematical Society; "Handbook of Mathe matical Functions" with formulas, graphs and mathematical tables National Bureau of Standards Applied Mathematics Series, 55, 1964, 1046 pp., Government Printing Office, Washington, D.C., and FLETCHER, MILLER, ROSENHEAD, Index of Mathematical Tables, Addison-Wesley, Reading, Mass.) .. There is a list of symbols and abbreviations at the end of the book.

Bessel Functions and Their Applications

Bessel Functions and Their Applications PDF Author: B G Korenev
Publisher: CRC Press
ISBN: 1134461542
Category : Mathematics
Languages : en
Pages : 333

Book Description
Bessel functions are associated with a wide range of problems in important areas of mathematical physics. Bessel function theory is applied to problems of acoustics, radio physics, hydrodynamics, and atomic and nuclear physics. Bessel Functions and Their Applications consists of two parts. In Part One, the author presents a clear and rigorous intro