Download or read book Integral Representations of Axially Symmetric Potential Functions written by Richard C. MacCamy and published by . This book was released on 1960 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Integral Representations of Axially Symmetric Potential Functions written by Richard C. MacCamy and published by . This book was released on 1960 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Some Properties of Generalized Axially Symmetric Potentials written by Robert P. Gilbert and published by . This book was released on 1961 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some properties of the functions of generalized axially symmetric potential theory (GASPT) are investigated by the Sonine-Bergman operator. GASPT function elements are considered in the case of entire and meromorphic associates. Theorems concerning inequalities and location of singularities are obtained.

Download or read book Poisson s Equation and Generalized Axially Symmetric Potential Theory written by Robert P. Gilbert and published by . This book was released on 1962 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method is developed by which one may obtain solutions to the non- homogeneous equation of generalized axially symmetric potential theory (GASPT). Representation formulae are obtained and the method is shown to be extendable under certain symmetry conditions to the Poisson equation in three variables.

Download or read book On Generalized Axially Symmetric Potentials written by Robert P. Gilbert and published by . This book was released on 1961 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Certain properties of generalized axially symmetric potentials (GASP) are investigated by means of integral operator methods. A modified form of the residue theorem is obtained. In addition, the Hadmard criteria concerning the expansion coefficients of a meromorphic function and its singularities seem to hold also for GASP.

Download or read book Monogenic Functions in Spaces with Commutative Multiplication and Applications written by Sergiy A. Plaksa and published by Springer Nature. This book was released on 2023-07-18 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops a theory of continuous and differentiable functions, called monogenic functions, in the sense of Gateaux functions taking values in some vector spaces with commutative multiplication. The study of these monogenic functions in various commutative algebras leads to a discovery of new ways of solving boundary value problems in mathematical physics. The book consists of six parts: Part I presents some preliminary notions and introduces various concepts of differentiable mappings of vector spaces. Part II - V is devoted to the study of monogenic functions in various spaces with commutative multiplication, namely, three dimensional commutative algebras with two-dimensional radical, finite-dimensional commutative associative algebras, infinite-dimensional vector spaces associated with the three-dimensional Laplace equation and infinite-dimensional vector spaces associated with axial-symmetric potential fields. Part VI presents some boundary value problems for axial-symmetric potential fields and develops effective analytic methods of solving these boundary value problems with various applications in mathematical physics. Graduate students and researchers alike benefit from this book.

Download or read book Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and published by . This book was released on 1967 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book N Dimensional Quasiconformal QCf Mappings written by Petru Caraman and published by CRC Press. This book was released on 1974 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Multivalued Functions in Generalized Axially Symmetric Potential Theory written by Lawrence Edward Payne and published by . This book was released on 1954 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we obtain expressions for the multivalued potentials and stream functions arising in certain fundamental problems in Generalized Axially Symmetric Potential Theory. These expressions exhibit clearly the analytic character and the cyclic nature of the functions, and involve sums or integrals of Legendre functions.

Download or read book Models and Theories in Social Systems written by Cristina Flaut and published by Springer. This book was released on 2018-10-12 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concisely presents a broad range of models and theories on social systems. Because of the huge spectrum of topics involving social systems, various issues related to Mathematics, Statistics, Teaching, Social Science, and Economics are discussed. In an effort to introduce the subject to a wider audience, this volume, part of the series “Studies in Systems, Decision and Control”, equally addresses the needs of mathematicians, statisticians, sociologists and philosophers. The studies examined here are divided into four parts. The first part, “Perusing the Minds Behind Scientific Discoveries”, traces the winding path of Syamal K. Sen and Ravi P. Agarwal’s scholarship throughout history, and most importantly, the thought processes that allowed each of them to master their subject. The second part covers “Theories in Social Systems” and the third discusses “Models in Social Systems”, while the fourth and final part is dedicated to “Mathematical Methods in the Social Sciences”. Given its breadth of coverage, the book will offer inquisitive readers a valuable point of departure for exploring these rich, vast, and ever-expanding fields of knowledge.

Download or read book NIST Handbook of Mathematical Functions Hardback and CD ROM written by Frank W. J. Olver and published by Cambridge University Press. This book was released on 2010-05-17 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.

Download or read book The Hypergeometric and Legendre Functions with Applications to Integral Equations of Potential Theory written by Chester Snow and published by . This book was released on 1942 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Government wide Index to Federal Research Development Reports written by and published by . This book was released on 1967 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Advances in Chemical Physics Volume 103 written by Ilya Prigogine and published by John Wiley & Sons. This book was released on 2009-09-09 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviews of previous volumes "...continues the tradition of this series on high-quality authoritative chapters in a wide-range of chemical physics topics." Journal of the American Chemical Society. The newest volume in the prestigious Advances in Chemical Physics Series, edited by Nobel Prize winner, Ilya Prigogine and renowned authority Stuart A. Rice, provides general information about a wide variety of topics in chemical physics. Experts present comprehensive analyses of subjects of interest, and encourage the expression of individual points of view. This approach to presenting an overview of a subject will both stimulate new research and serve as a personalized learning text for beginners in the field.

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Integral Methods in Science and Engineering written by Christian Constanda and published by CRC Press. This book was released on 1994-12-12 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral methods are among the most powerful techniques for investigating real-life phenomena translated into mathematical models. This book contains a number of contributions to the development and application of such techniques in the context of linear and nonlinear problems in elasticity, fluid dynamics and mathematical physics. The procedures featured in the volume include vortex methods, analytic and numerical methods, hybrid numerical schemes, integral equation approaches, and conservation laws. The articles were presented by their authors at the Third International Conference on Integral Methods in Science and Engineering, IMSE-93, 27-29 August 1993, at Tohoku University, Sendai, Japan.

Download or read book MRC Technical Summary Report written by Mathematics Research Center (United States. Army) and published by . This book was released on 1965 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: