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Dual Complex Numbers And Their Holomorphic Functions by Farid Messelmi

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1DUAL-COMPLEX NUMBERS AND THEIR HOLOMORPHIC FUNCTIONS

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The purpose of this paper is to contribute to development a general theory of dual-complex numbers. We start by dene the notion of dual-complex and their algebraic properties. In addition, we develop a simple mathematical method based on matrices, simplifying manipulation of dual-complex numbers. Inspired from complex analysis, we generalize the concept of holomorphicity to dual-complex functions. Moreover, a general representation of holomorphic dual-complex functions has been obtained. Finally and as concrete examples, some usual complex functions have been generalized to the algebra of dual-complex numbers.

“DUAL-COMPLEX NUMBERS AND THEIR HOLOMORPHIC FUNCTIONS” Metadata:

  • Title: ➤  DUAL-COMPLEX NUMBERS AND THEIR HOLOMORPHIC FUNCTIONS
  • Author:
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 4.45 Mbs, the file-s for this book were downloaded 234 times, the file-s went public at Fri Nov 20 2015.

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2Dual-Complex Numbers And Their Holomorphic Functions

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The purpose of this paper is to contribute to development a general theory of dual-complex numbers. We start by define the notion of dual-complex and their algebraic properties. In addition, we develop a simple mathematical method based on matrices, simplifying manipulation of dual-complex numbers. Inspired from complex analysis, we generalize the concept of holomorphicity to dual-complex functions. Moreover, a general representation of holomorphic dual-complex functions has been obtained. Finally, and as concrete examples, some usual complex functions have been generalized to the algebra of dual-complex numbers.

“Dual-Complex Numbers And Their Holomorphic Functions” Metadata:

  • Title: ➤  Dual-Complex Numbers And Their Holomorphic Functions
  • Author:
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 4.87 Mbs, the file-s for this book were downloaded 48 times, the file-s went public at Fri Oct 13 2023.

Available formats:
Archive BitTorrent - DjVuTXT - Djvu XML - Item Tile - Metadata - OCR Page Index - OCR Search Text - Page Numbers JSON - Scandata - Single Page Processed JP2 ZIP - Text PDF - chOCR - hOCR -

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