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Taylor and Laurent Series Expansions for α-conformable Fractional Analytic Functions.

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Τίτλος: Taylor and Laurent Series Expansions for α-conformable Fractional Analytic Functions.
Συγγραφείς: Alshanti, Waseem Ghazi, Hammad, Ma'mon Abu, Khalil, Roshdi
Πηγή: Palestine Journal of Mathematics; 2025, Vol. 14 Issue 4, p289-297, 9p
Θεματικοί όροι: Taylor's series, Laurent series, Mathematical analysis, Fractional calculus, Conformal mapping, Series expansion (Mathematics), Analytic functions
Abstract (English): In this paper we utilize the concepts of a-conformable fractional axes and a-conformable fractional analytic function to present the a-conformable fractional versions of the Taylor series and Laurent series expansions. [ABSTRACT FROM AUTHOR]
Abstract (Arabic): المقال يركز على تطوير النسخ الكسرية القابلة للتوافق من توسعات سلسلة تايلور وسلسلة لوران للوظائف التحليلية الكسرية القابلة للتوافق. يستخدم المؤلفون مفاهيم من التحليل العقدي، وبشكل خاص خصائص الوظائف التحليلية وتوسعاتها السلسلية، لتأسيس هذه الأشكال الجديدة. يقدمون المستوى الكسرى القابل للتوافق ويظهرون كيف يمكن تطبيق هذه التوسعات ضمن هذا الإطار، مع تسليط الضوء على أهميتها لكل من التحليل العقدي الكلاسيكي والتطبيقات الرياضية المعاصرة. تدعم النتائج النظريات والتعاريف التي توضح سلوك هذه الوظائف الكسرية وتمثيلاتها السلسلية. [Extracted from the article]
Copyright of Palestine Journal of Mathematics is the property of Palestine Polytechnic University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Complementary Index
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PubType: Academic Journal
PubTypeId: academicJournal
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IllustrationInfo
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  Label: Title
  Group: Ti
  Data: Taylor and Laurent Series Expansions for α-conformable Fractional Analytic Functions.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Alshanti%2C+Waseem+Ghazi%22">Alshanti, Waseem Ghazi</searchLink><br /><searchLink fieldCode="AR" term="%22Hammad%2C+Ma'mon+Abu%22">Hammad, Ma'mon Abu</searchLink><br /><searchLink fieldCode="AR" term="%22Khalil%2C+Roshdi%22">Khalil, Roshdi</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: Palestine Journal of Mathematics; 2025, Vol. 14 Issue 4, p289-297, 9p
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Taylor's+series%22">Taylor's series</searchLink><br /><searchLink fieldCode="DE" term="%22Laurent+series%22">Laurent series</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Conformal+mapping%22">Conformal mapping</searchLink><br /><searchLink fieldCode="DE" term="%22Series+expansion+%28Mathematics%29%22">Series expansion (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Analytic+functions%22">Analytic functions</searchLink>
– Name: AbstractNonEng
  Label: Abstract (English)
  Group: Ab
  Data: In this paper we utilize the concepts of a-conformable fractional axes and a-conformable fractional analytic function to present the a-conformable fractional versions of the Taylor series and Laurent series expansions. [ABSTRACT FROM AUTHOR]
– Name: AbstractNonEng
  Label: Abstract (Arabic)
  Group: Ab
  Data: المقال يركز على تطوير النسخ الكسرية القابلة للتوافق من توسعات سلسلة تايلور وسلسلة لوران للوظائف التحليلية الكسرية القابلة للتوافق. يستخدم المؤلفون مفاهيم من التحليل العقدي، وبشكل خاص خصائص الوظائف التحليلية وتوسعاتها السلسلية، لتأسيس هذه الأشكال الجديدة. يقدمون المستوى الكسرى القابل للتوافق ويظهرون كيف يمكن تطبيق هذه التوسعات ضمن هذا الإطار، مع تسليط الضوء على أهميتها لكل من التحليل العقدي الكلاسيكي والتطبيقات الرياضية المعاصرة. تدعم النتائج النظريات والتعاريف التي توضح سلوك هذه الوظائف الكسرية وتمثيلاتها السلسلية. [Extracted from the article]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Palestine Journal of Mathematics is the property of Palestine Polytechnic University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 9
        StartPage: 289
    Subjects:
      – SubjectFull: Taylor's series
        Type: general
      – SubjectFull: Laurent series
        Type: general
      – SubjectFull: Mathematical analysis
        Type: general
      – SubjectFull: Fractional calculus
        Type: general
      – SubjectFull: Conformal mapping
        Type: general
      – SubjectFull: Series expansion (Mathematics)
        Type: general
      – SubjectFull: Analytic functions
        Type: general
    Titles:
      – TitleFull: Taylor and Laurent Series Expansions for α-conformable Fractional Analytic Functions.
        Type: main
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    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Alshanti, Waseem Ghazi
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            NameFull: Hammad, Ma'mon Abu
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            NameFull: Khalil, Roshdi
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          Dates:
            – D: 01
              M: 10
              Text: 2025
              Type: published
              Y: 2025
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              Value: 14
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            – TitleFull: Palestine Journal of Mathematics
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