Special Functions Their Applications
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Special Functions Their Applications
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Author : N. N. Lebedev
language : en
Publisher: Courier Corporation
Release Date : 2012-04-30
Special Functions Their Applications written by N. N. Lebedev and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-30 with Mathematics categories.
Famous Russian work discusses the application of cylinder functions and spherical harmonics; gamma function; probability integral and related functions; Airy functions; hyper-geometric functions; more. Translated by Richard Silverman.
Special Functions And Their Applications
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Author : Nikola? Nikolaevich Lebedev
language : en
Publisher: Courier Corporation
Release Date : 1972-01-01
Special Functions And Their Applications written by Nikola? Nikolaevich Lebedev and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-01-01 with Mathematics categories.
The Russian mathematician views the theoretical and practical aspects of special functions and illustrates their significance in problem solving in physics and engineering
The Special Functions And Their Approximations
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Author : Yudell L. Luke
language : en
Publisher: Academic Press
Release Date : 1969
The Special Functions And Their Approximations written by Yudell L. Luke and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
A detailed and self-contained and unified treatment of many mathematical functions which arise in applied problems, as well as the attendant mathematical theory for their approximations. many common features of the Bessel functions, Legendre functions, incomplete gamma functions, confluent hypergeometric functions, as well as of otherw, can be derived. Hitherto, many of the material upon which the volumes are based has been available only in papers scattered throughout the literature.
Special Functions And Their Applications
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Author : Nikolaĭ Nikolaevich Lebedev
language : en
Publisher:
Release Date : 1965
Special Functions And Their Applications written by Nikolaĭ Nikolaevich Lebedev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Functions categories.
Bessel Functions And Their Applications
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Author : B G Korenev
language : en
Publisher: CRC Press
Release Date : 2002-07-25
Bessel Functions And Their Applications written by B G Korenev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-25 with Mathematics categories.
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
Special Functions
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Author : George E. Andrews
language : en
Publisher: Cambridge University Press
Release Date : 1999
Special Functions written by George E. Andrews and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.
Generalized Associated Legendre Functions And Their Applications
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Author : Iryna Fedotova
language : en
Publisher: World Scientific
Release Date : 2001-04-30
Generalized Associated Legendre Functions And Their Applications written by Iryna Fedotova and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-30 with Mathematics categories.
The various types of special functions have become essential tools for scientists and engineers. One of the important classes of special functions is of the hypergeometric type. It includes all classical hypergeometric functions such as the well-known Gaussian hypergeometric functions, the Bessel, Macdonald, Legendre, Whittaker, Kummer, Tricomi and Wright functions, the generalized hypergeometric functions ρFq, Meijer's G-function, Fox's H-function, etc.Application of the new special functions allows one to increase considerably the number of problems whose solutions are found in a closed form, to examine these solutions, and to investigate the relationships between different classes of the special functions.This book deals with the theory and applications of generalized associated Legendre functions of the first and the second kind, Pm,nκ(z) and Qm,nκ(z), which are important representatives of the hypergeometric functions. They occur as generalizations of classical Legendre functions of the first and the second kind respectively. The authors use various methods of contour integration to obtain important properties of the generalized associated Legnedre functions as their series representations, asymptotic formulas in a neighborhood of singular points, zero properties, connection with Jacobi functions, Bessel functions, elliptic integrals and incomplete beta functions.The book also presents the theory of factorization and composition structure of integral operators associated with the generalized associated Legendre function, the fractional integro-differential properties of the functions Pm,nκ(z) and Qm,nκ(z), the classes of dual and triple integral equations associated with the function Pm,n-1/2+iς(chα) etc.
Integral Transforms Of Generalized Functions And Their Applications
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Author : Ram Shankar Pathak
language : en
Publisher: Routledge
Release Date : 2017-07-05
Integral Transforms Of Generalized Functions And Their Applications written by Ram Shankar Pathak and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-05 with History categories.
For those who have a background in advanced calculus, elementary topology and functional analysis - from applied mathematicians and engineers to physicists - researchers and graduate students alike - this work provides a comprehensive analysis of the many important integral transforms and renders particular attention to all of the technical aspects of the subject. The author presents the last two decades of research and includes important results from other works.
Binary Functions And Their Applications
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Author : Horand Störmer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Binary Functions And Their Applications written by Horand Störmer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
In this book binary functions and their representation by implicants or implicates are described. In particular minimal representations by prime implicants or prime implicates are given. Such representations generalize the minimal representations of the usual Boolean functions. It is shown that implicants (implicates) of discrete functions may be constructed with the help of implicants (implicates) of binary functions. One substantial application is the description of the reliability structure of technical systems, another is the use of binary respectively discrete functions to classify objects which are described by the grades of certain attributes. Finally a class of Boolean algebras of practical importance (set algebras, indicator algebras, algebras of classes of propositions) are considered. The elements of such algebras have representations which are strongly connected with the representations of binary functions.
Current Developments In Solid Mechanics And Their Applications
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2025-07-07
Current Developments In Solid Mechanics And Their Applications written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-07 with Science categories.
This book is a collection of articles by eminent scientists from different countries who participated in the traditional international conference “Topical Problems of Continuum Mechanics” held at the Institute of Mechanics of the National Academy of Sciences of Armenia since 2007. The topics of the articles: Coupled Fields in Solids, Composites, Soil Mechanics, Fluid Mechanics, Mechanics of Nano-Systems, Structural Mechanics, Biomechanics, Hydraulics and Hydraulic Facilities, Experimental Mechanics.