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An Expansion For Laplacian Integrals In Terms Of Incomplete Gamma Functions And Some Applications
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Book Synopsis An Expansion for Laplacian Integrals in Terms of Incomplete Gamma Functions, and Some Applications by : Edward Charles Dixon Molina
Download or read book An Expansion for Laplacian Integrals in Terms of Incomplete Gamma Functions, and Some Applications written by Edward Charles Dixon Molina and published by . This book was released on 1932 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On a Class of Incomplete Gamma Functions with Applications by : M. Aslam Chaudhry
Download or read book On a Class of Incomplete Gamma Functions with Applications written by M. Aslam Chaudhry and published by CRC Press. This book was released on 2001-08-21 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of special functions is rich and expanding continuously with the emergence of new problems encountered in engineering and applied science applications. The development of computational techniques and the rapid growth in computing power have increased the importance of the special functions and their formulae for analytic representations
Book Synopsis Expansion for Laplacian Integrals in Terms of Incomplete Gamma Functions by : Edward Charles Molina
Download or read book Expansion for Laplacian Integrals in Terms of Incomplete Gamma Functions written by Edward Charles Molina and published by . This book was released on 1932 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Methods For Integrals by : Nico M Temme
Download or read book Asymptotic Methods For Integrals written by Nico M Temme and published by World Scientific. This book was released on 2014-10-31 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals.The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.
Book Synopsis Handbook of Beta Distribution and Its Applications by : Arjun K. Gupta
Download or read book Handbook of Beta Distribution and Its Applications written by Arjun K. Gupta and published by CRC Press. This book was released on 2004-06-21 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: A milestone in the published literature on the subject, this first-ever Handbook of Beta Distribution and Its Applications clearly enumerates the properties of beta distributions and related mathematical notions. It summarizes modern applications in a variety of fields, reviews up-and-coming progress from the front lines of statistical research and practice, and demonstrates the applicability of beta distributions in fields such as economics, quality control, soil science, and biomedicine. The book discusses the centrality of beta distributions in Bayesian inference, the beta-binomial model and applications of the beta-binomial distribution, and applications of Dirichlet integrals.
Book Synopsis Hadamard Expansions and Hyperasymptotic Evaluation by : R. B. Paris
Download or read book Hadamard Expansions and Hyperasymptotic Evaluation written by R. B. Paris and published by Cambridge University Press. This book was released on 2011-03-24 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes a new asymptotic method of high-precision evaluation of certain integrals, related to the classical method of steepest descents.
Download or read book Technometrics written by and published by . This book was released on 1967 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bell Telephone System Technical Publications by : Bell Telephone Laboratories
Download or read book Bell Telephone System Technical Publications written by Bell Telephone Laboratories and published by . This book was released on 1932 with total page 1294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applied Statistics in Atmospheric Science: Frequencies and curve fitting by : Oskar M. Essenwanger
Download or read book Applied Statistics in Atmospheric Science: Frequencies and curve fitting written by Oskar M. Essenwanger and published by Elsevier Science & Technology. This book was released on 1976 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frequency distributions; Curve fitting; Calculation of eigenvalues and eigenvectors; Appendix.
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 1986 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bulletin of the American Mathematical Society by : American Mathematical Society
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1932 with total page 1106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Gamma Function written by Emil Artin and published by Courier Dover Publications. This book was released on 2015-01-28 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief monograph on the gamma function was designed by the author to fill what he perceived as a gap in the literature of mathematics, which often treated the gamma function in a manner he described as both sketchy and overly complicated. Author Emil Artin, one of the twentieth century's leading mathematicians, wrote in his Preface to this book, "I feel that this monograph will help to show that the gamma function can be thought of as one of the elementary functions, and that all of its basic properties can be established using elementary methods of the calculus." Generations of teachers and students have benefitted from Artin's masterly arguments and precise results. Suitable for advanced undergraduates and graduate students of mathematics, his treatment examines functions, the Euler integrals and the Gauss formula, large values of x and the multiplication formula, the connection with sin x, applications to definite integrals, and other subjects.
Book Synopsis Asymptotic Methods for Integrals by : Nico M. Temme
Download or read book Asymptotic Methods for Integrals written by Nico M. Temme and published by World Scientific Publishing Company. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals. The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.
Book Synopsis Asymptotic Expansions of Integrals by : Norman Bleistein
Download or read book Asymptotic Expansions of Integrals written by Norman Bleistein and published by Courier Corporation. This book was released on 1986-01-01 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. Additional subjects include the Mellin transform method and less elementary aspects of the method of steepest descents. 1975 edition.
Book Synopsis Multiple Hypergeometric Functions and Applications by : Harold Exton
Download or read book Multiple Hypergeometric Functions and Applications written by Harold Exton and published by Ellis Horwood. This book was released on 1976 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Asymptotic Approximations of Integrals by : R. Wong
Download or read book Asymptotic Approximations of Integrals written by R. Wong and published by Academic Press. This book was released on 2014-05-10 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic Approximations of Integrals deals with the methods used in the asymptotic approximation of integrals. Topics covered range from logarithmic singularities and the summability method to the distributional approach and the Mellin transform technique for multiple integrals. Uniform asymptotic expansions via a rational transformation are also discussed, along with double integrals with a curve of stationary points. For completeness, classical methods are examined as well. Comprised of nine chapters, this volume begins with an introduction to the fundamental concepts of asymptotics, followed by a discussion on classical techniques used in the asymptotic evaluation of integrals, including Laplace's method, Mellin transform techniques, and the summability method. Subsequent chapters focus on the elementary theory of distributions; the distributional approach; uniform asymptotic expansions; and integrals which depend on auxiliary parameters in addition to the asymptotic variable. The book concludes by considering double integrals and higher-dimensional integrals. This monograph is intended for graduate students and research workers in mathematics, physics, and engineering.
