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派博传思国际中心 »期刊书目

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Titlebook: Innovative Integrals and Their Applications II; Anthony A. Ruffa,Bourama Toni Book 2024 The Editor(s) (if applicable) and The Author(s), u

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书目名称Innovative Integrals and Their Applications II
编辑Anthony A. Ruffa,Bourama Toni
视频videohttp://file.papertrans.cn/477/476157/476157.mp4
概述Presents multidimensional and infinite integral identities beyond conventional techniques.Explores a rich collection of integral identities with real-world uses.Follows a truly pedagogical approach, b
丛书名称STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health
图书封面Titlebook: Innovative Integrals and Their Applications II; Anthony A. Ruffa,Bourama Toni Book 2024 The Editor(s) (if applicable) and The Author(s), u
描述.In its second installment, .Innovative Integrals and Their Applications II. explores multidimensional integral identities, unveiling powerful techniques for attacking otherwise intractable integrals, thus demanding ingenuity and novel approaches. This volume focuses on novel approaches for evaluating definite integrals, with the aid of tools such as .Mathematica. as a means of obtaining useful results. Building upon the previous methodologies, this volume introduces additional concepts such as interchanging the order of integration, permutation symmetry, and the use of pairs of Laplace transforms and Fourier transforms, offering readers a comprehensive array of integral identities. The content further elucidates the techniques of permutation symmetry and extends the multivariate substitution approach to integrals with finite limits of integration. These insights culminate in a collection of integral identities involving gamma functions, incomplete beta functions, Bessel functions, polylogarithms, and the Meijer G-function. Additionally, readers will encounter applications of error functions, inverse error functions, hypergeometric functions, the Lambert W-function, elliptic integr
出版日期Book 2024
关键词Interchange of Order of Integration; Hyperbolic trigonometric functions; Permutation Symmetry; Riemann
版次1
doihttps://doi.org/10.1007/978-3-031-62123-9
isbn_softcover978-3-031-62125-3
isbn_ebook978-3-031-62123-9Series ISSN 2520-193X Series E-ISSN 2520-1948
issn_series 2520-193X
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Warm-Up: Interchanging the Order of Integration,ell-behaved integrals. These integrals indeed satisfy Fubini’s theorem for bivariate integrals. Some of the results are stunning and unexpected from this age-old method of integration. The chapter concludes with some interesting exercises that the reader is encouraged to attempt.
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发表于 2025-3-22 09:38:44 | 显示全部楼层
Permutation Symmetry,-trivial results; its applicability is seen here quite extendable to many challenging integrals, in particular, in combination of our technique of ., an offshoot of the Generalized Method of Exhaustion amply described in our first book.
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A Potpourri of Methods and Results,n appropriate combination of various techniques, in any order, can produce a plurality of non-trivial results. It is indeed a potpourri of techniques and results, making use of the complete “toolbox” of integration techniques. Exercises are included to encourage reader participation.
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Applications in the Sciences, Technology, and Engineering,specifically dedicated to applications in the sciences, technology, and engineering. It features (weighted) non-Gaussian distributions, (generalized) weighted Gaussian distributions, benchmarks for cubature formulas, the Sommerfeld integral, and a related family of expansions. It concludes with exercises for the reader.
Communal
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978-3-031-62125-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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