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    ANALYTICITY THEOREMS FOR FUNCTIONS THAT ARE HOLOMORPHIC ALONG VECTOR FIELDS

    ANALYTICITY THEOREMS FOR FUNCTIONS THAT ARE HOLOMORPHIC ALONG VECTOR FIELDS. Masters thesis, King Fahd University of Petroleum and Minerals.

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    Arabic Abstract

    تبحث هذه الأطروحة في بعض النظريات التحليلية لدوال متعددة معقدة المتغيرات. نقدم نظرية فوريلي ونوضح تعميماتها. خاصة، في ضوء حقول المتجهات. لقد تم بالفعل حل حالة تعاقد الحقول المتجهة وسيتم شرح النتائج. سيتم التحقيق في قضية عدم التعاقد مناقشة.

    English Abstract

    This thesis investigates some analyticity theorems for functions of several complex variables. We introduce Forelli’s theorem and demonstrate its generalizations. Mainly, in the view of vector fields. The case of contracting vector fields is already resolved and the results will be explained. An investigation of a non-contracting case will be discussed.

    Item Type: Thesis (Masters)
    Subjects: Math
    Department: College of Computing and Mathematics > Mathematics
    Committee Advisor: Joo, J.-C.
    Committee Members: Khalfallah, A. and Qureshi, M.I.
    Depositing User: ALHUSSAIN ALKHUNAIZI (g201643980)
    Date Deposited: 08 Aug 2024 08:36
    Last Modified: 08 Aug 2024 08:36
    URI: http://eprints.kfupm.edu.sa/id/eprint/143025