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Titlebook: Special Functions and Generalized Sturm-Liouville Problems; Mohammad Masjed-Jamei Book 2020 Springer Nature Switzerland AG 2020 special fu

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发表于 2025-3-21 18:40:18 | 显示全部楼层 |阅读模式
书目名称Special Functions and Generalized Sturm-Liouville Problems
编辑Mohammad Masjed-Jamei
视频video
概述Presents a comprehensive reference text on topics in Sturm-Liouville theory in different spaces.Serves as a reliable, accessible resource for newcomers to the subjects.Authoritative and highly readabl
丛书名称Frontiers in Mathematics
图书封面Titlebook: Special Functions and Generalized Sturm-Liouville Problems;  Mohammad Masjed-Jamei Book 2020 Springer Nature Switzerland AG 2020 special fu
描述.This book discusses theoretical and applied aspects of Sturm-Liouville theory and its generalization. It introduces and classifies generalized Sturm-Liouville problems in three different spaces: continuous, discrete, and q-discrete spaces, focusing on special functions that are solutions of a regular or singular Sturm-Liouville problem. Further, it describes the conditions under which the usual Sturm-Liouville problems with symmetric solutions can be extended to a larger class, particularly highlighting the solutions of generalized problems that result in new orthogonal sequences of continuous or discrete functions..Sturm-Liouville theory is central to problems in many areas, such as engineering, mathematics, physics, and biology. This accessibly written book on the topic is a valuable resource for a broad interdisciplinary readership, from novices to experts..
出版日期Book 2020
关键词special functions; generalized Sturm-Liouville problems; orthogonal polynomials; hypergeometric differe
版次1
doihttps://doi.org/10.1007/978-3-030-32820-7
isbn_softcover978-3-030-32819-1
isbn_ebook978-3-030-32820-7Series ISSN 1660-8046 Series E-ISSN 1660-8054
issn_series 1660-8046
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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发表于 2025-3-22 03:15:18 | 显示全部楼层
Frontiers in Mathematicshttp://image.papertrans.cn/s/image/873670.jpg
发表于 2025-3-22 06:56:10 | 显示全部楼层
https://doi.org/10.1007/978-3-030-32820-7special functions; generalized Sturm-Liouville problems; orthogonal polynomials; hypergeometric differe
发表于 2025-3-22 09:06:00 | 显示全部楼层
发表于 2025-3-22 13:58:40 | 显示全部楼层
Special Functions and Generalized Sturm-Liouville Problems978-3-030-32820-7Series ISSN 1660-8046 Series E-ISSN 1660-8054
发表于 2025-3-22 20:19:39 | 显示全部楼层
,Special Functions Generated by Generalized Sturm–Liouville Problems in Continuous Spaces,Consider the second-order differential equation . on an open interval, say (., .), with the following boundary conditions, . in which .., .. and .., .. are given constants and .(.) , .(.) , .(.), and .(.) in (1.1) are to be assumed continuous for . ∈ [., .].
发表于 2025-3-23 00:45:16 | 显示全部楼层
,Special Functions Generated by Generalized Sturm–Liouville Problems in Discrete Spaces,Orthogonal functions of a discrete variable may be solutions of adiscrete-type Sturm–Liouville problem of the form . where . and Eq. (2.1) satisfies a set of discrete boundary conditions as
发表于 2025-3-23 02:40:16 | 显示全部楼层
,Special Functions Generated by Generalized Sturm–Liouville Problems in q-Spaces,In many applications of mathematical physics,.-orthogonal polynomials appear in a natural way. Our aim in this chapter is to introduce new classes of .-orthogonal polynomials that are generated by some.-Sturm–Liouville problems.
发表于 2025-3-23 06:44:24 | 显示全部楼层
Mohammad Masjed-JameiPresents a comprehensive reference text on topics in Sturm-Liouville theory in different spaces.Serves as a reliable, accessible resource for newcomers to the subjects.Authoritative and highly readabl
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