Integrals of Bessel Functions

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Publisher : Courier Corporation
ISBN 13 : 0486799395
Total Pages : 436 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Integrals of Bessel Functions by : Yudell L. Luke

Download or read book Integrals of Bessel Functions written by Yudell L. Luke and published by Courier Corporation. This book was released on 2014-10-20 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Values of Some Integrals Involving Bessel Functions

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Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Numerical Values of Some Integrals Involving Bessel Functions by : D. L. George

Download or read book Numerical Values of Some Integrals Involving Bessel Functions written by D. L. George and published by . This book was released on 1960 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables

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Publisher :
ISBN 13 :
Total Pages : 1072 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables by : Milton Abramowitz

Download or read book Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables written by Milton Abramowitz and published by . This book was released on 1964 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Table of Integrals, Series, and Products

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Publisher : Academic Press
ISBN 13 : 1483265641
Total Pages : 1207 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Table of Integrals, Series, and Products by : I. S. Gradshteyn

Download or read book Table of Integrals, Series, and Products written by I. S. Gradshteyn and published by Academic Press. This book was released on 2014-05-10 with total page 1207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Treatise on the Theory of Bessel Functions

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Publisher :
ISBN 13 :
Total Pages : 822 pages
Book Rating : 4.:/5 (7 download)

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Book Synopsis A Treatise on the Theory of Bessel Functions by : George N. Watson

Download or read book A Treatise on the Theory of Bessel Functions written by George N. Watson and published by . This book was released on 1922 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tables of Functions and Zeros of Functions

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Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Tables of Functions and Zeros of Functions by : United States. National Bureau of Standards. Computation Laboratory

Download or read book Tables of Functions and Zeros of Functions written by United States. National Bureau of Standards. Computation Laboratory and published by . This book was released on 1954 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tables of Laplace Transforms

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Publisher : Springer Science & Business Media
ISBN 13 : 3642656455
Total Pages : 438 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Tables of Laplace Transforms by : F. Oberhettinger

Download or read book Tables of Laplace Transforms written by F. Oberhettinger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Courier Corporation
ISBN 13 : 0486158241
Total Pages : 1068 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Handbook of Mathematical Functions by : Milton Abramowitz

Download or read book Handbook of Mathematical Functions written by Milton Abramowitz and published by Courier Corporation. This book was released on 2012-04-30 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic resource for working with special functions, standard trig, and exponential logarithmic definitions and extensions, it features 29 sets of tables, some to as high as 20 places.

Tables of Bessel Transforms

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Publisher : Springer Science & Business Media
ISBN 13 : 3642654622
Total Pages : 299 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Tables of Bessel Transforms by : F. Oberhettinger

Download or read book Tables of Bessel Transforms written by F. Oberhettinger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This material represents a collection of integral tra- forms involving Bessel (or related) functions as kernel. The following types of inversion formulas have been singled out. k I. g(y) = f (x) (xy) 2J (xy) dx J V 0 k I' . f (x) g (y) (xy) 2J (xy) dy J V 0 II. g(y) f(x) (XY)~K (xy)dx J v 0 c+ioo k 1 II'. f (x) = g (y) (xy) 2 [Iv (xy) + I_v(xy)]dy J 27fT c-ioo or also c+ioo k 1 II". f(x) = g (y) (xy) 2Iv (xy) dx J rri oo c-i k III. g(y) f(x) (xy) 2y (xy) dx + J v 0 k III' . f(x) g(y) (xy) "1lv (xy) dy J 0 k IV. g(y) f (x) (xy) "Kv (xy) dx J 0 k g(y) (xy) 2Y (xy)dy IV' - f(x) J v 0 V Preface V. g(y) f(X)Kix(y)dx J 0 -2 -1 sinh (7TX) V'. f(x) 27T x g(y)y Kix(y)dy J 0 21-~[r(~~+~-~v)r(~~+~+~v)]-1 VI. g(y) . J f (x) (xy) ~s (xy) dx o ~, v l-~ -1 VI' . f(x) 2 [r (~~+~-~v) r (~~+~+~v)] - - J -5 (xy)]dy g(y) (XY)~[S~, v(xy) ~, v 0 [xy)~]dX VII. g(y) f(x)\ ~ J 0 0 VII' - f(x) g(y) \ [(xy) lz]dy ~ f 0 0 with \ (z) o (For notations and definitions see the appendix of this book.) The transform VII is also known as the divisor transform.

Handbook of Mathematical Tables

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Publisher :
ISBN 13 :
Total Pages : 1084 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Handbook of Mathematical Tables by : Milton Abramowitz

Download or read book Handbook of Mathematical Tables written by Milton Abramowitz and published by . This book was released on 1968 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The H-Function

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Publisher : Springer Science & Business Media
ISBN 13 : 1441909168
Total Pages : 276 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis The H-Function by : A.M. Mathai

Download or read book The H-Function written by A.M. Mathai and published by Springer Science & Business Media. This book was released on 2009-10-10 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Guide to Mathematical Tables

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Publisher : Elsevier
ISBN 13 : 1483184439
Total Pages : 237 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis A Guide to Mathematical Tables by : N. M. Burunova

Download or read book A Guide to Mathematical Tables written by N. M. Burunova and published by Elsevier. This book was released on 2014-05-09 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Guide to Mathematical Tables is a supplement to the Guide to Mathematical Tables published by the U.S.S.R. Academy of Sciences in 1956. The tables contain information on subjects such as powers, rational and algebraic functions, and trigonometric functions, as well as logarithms and polynomials and Legendre functions. An index listing all functions included in both the Guide and the Supplement is included. Comprised of 15 chapters, this supplement first describes mathematical tables in the following order: the accuracy of the table (that is, the number of decimal places or significant figures); the limits of variation of the argument and the interval of the table; and the serial number of the book or journal in the reference material. The second part gives the author, title, publishing house, and date and place of publication for books, and the name of the journal, year of publication, series, volume and number, page and author and title of the article cited for journals. Topics range from exponential and hyperbolic functions to factorials, Euler integrals, and related functions. Sums and quantities related to finite differences are also tabulated. This book will be of interest to mathematicians and mathematics students.

Introduction to Bessel Functions

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Publisher : Courier Corporation
ISBN 13 : 0486152995
Total Pages : 148 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Bessel Functions by : Frank Bowman

Download or read book Introduction to Bessel Functions written by Frank Bowman and published by Courier Corporation. This book was released on 2012-04-27 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Mathematical Functions

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Publisher : Courier Corporation
ISBN 13 : 9780486612720
Total Pages : 1068 pages
Book Rating : 4.6/5 (127 download)

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Book Synopsis Handbook of Mathematical Functions by : Milton Abramowitz

Download or read book Handbook of Mathematical Functions written by Milton Abramowitz and published by Courier Corporation. This book was released on 1965-01-01 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive summary of mathematical functions that occur in physical and engineering problems

Theory of Functions

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (786 download)

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Book Synopsis Theory of Functions by : Titchmarch E. C.

Download or read book Theory of Functions written by Titchmarch E. C. and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1965 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: