指数基和积分基的解析函数在fr切特空间中的逼近

G. Hassan, A. Atta
{"title":"指数基和积分基的解析函数在fr<s:1>切特空间中的逼近","authors":"G. Hassan, A. Atta","doi":"10.21608/aunj.2022.139332.1020","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is to establish some theorems on the representation of analytic functions by exponential derived bases and exponential integral bases in Fréchet spaces. Theorems are proven to show such that representation is possible in closed disks, open disks, open regions surrounding closed disks, at the origin and for all entire functions. Also, some results concerning the growth order and type of EDBs and EIBs are determined. Moreover, the -property of and are discussed. Finally, some applications to the and of Bernoulli, Euler, Bessel, and Chebyshev polynomials have been studied.","PeriodicalId":8568,"journal":{"name":"Assiut University Journal of Multidisciplinary Scientific Research","volume":"130 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximation of analytic functions of exponential derived and integral bases in Fréchet spaces\",\"authors\":\"G. Hassan, A. Atta\",\"doi\":\"10.21608/aunj.2022.139332.1020\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this paper is to establish some theorems on the representation of analytic functions by exponential derived bases and exponential integral bases in Fréchet spaces. Theorems are proven to show such that representation is possible in closed disks, open disks, open regions surrounding closed disks, at the origin and for all entire functions. Also, some results concerning the growth order and type of EDBs and EIBs are determined. Moreover, the -property of and are discussed. Finally, some applications to the and of Bernoulli, Euler, Bessel, and Chebyshev polynomials have been studied.\",\"PeriodicalId\":8568,\"journal\":{\"name\":\"Assiut University Journal of Multidisciplinary Scientific Research\",\"volume\":\"130 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Assiut University Journal of Multidisciplinary Scientific Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21608/aunj.2022.139332.1020\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Assiut University Journal of Multidisciplinary Scientific Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21608/aunj.2022.139332.1020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

本文的目的是建立关于解析函数在fr切空间中用指数派生基和指数积分基表示的一些定理。定理证明了在闭盘、开盘、闭盘周围的开区域、原点和所有整个函数的表示都是可能的。同时,对经济开发区和欧洲投资开发区的生长顺序和类型进行了分析。此外,还讨论了和的-性质。最后,研究了伯努利多项式、欧拉多项式、贝塞尔多项式和切比雪夫多项式的一些应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Approximation of analytic functions of exponential derived and integral bases in Fréchet spaces
The purpose of this paper is to establish some theorems on the representation of analytic functions by exponential derived bases and exponential integral bases in Fréchet spaces. Theorems are proven to show such that representation is possible in closed disks, open disks, open regions surrounding closed disks, at the origin and for all entire functions. Also, some results concerning the growth order and type of EDBs and EIBs are determined. Moreover, the -property of and are discussed. Finally, some applications to the and of Bernoulli, Euler, Bessel, and Chebyshev polynomials have been studied.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Assessment of the Annual Effective Dose due to Intake of Natural Radionuclides from some Food Samples Representation in Fréchet Spaces of Hyperbolic Theta and Integral Operator Bases for Polynomials Barium incorporated zirconium dioxide nanostructures synthesized by sol-gel route and investigation of their structural, thermal and spectroscopic characteristic in the stabilized tetragonal phase Magnetic survey comparison using smart phone magnetic sensor and proton precession magnetometer: A case study at Abu Marwat Concession, Eastern Desert, Egypt Generalized Complex Conformable Derivative and Integral Bases in Fréchet Spaces
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1