Abstract
In this study, known integral transforms such as Fourier and Hartley are studied and these integral transforms are studied in detail for bicomplex numbers. In addition, the properties of the bicomplex Hartley transform have been investigated. Also, the relation between Hartley and Fourier transform for bicomplex numbers is given. Also, the relation between Hartley and Fourier transform for bicomplex numbers is given.
Keywords
bicomplex functions Fourier type integral transformations integral transformations of special functions integral transformations
References
- 1 A. Banerjee, S. K. Datta, M. A. Hoque, Fourier transform for functions of bicomplex variables, arXiv preprint arXiv: 1404.4236, (2014).
- 2 M. Futagawa, On the theory of functions of a quaternary variable, Tohoku Mathematical Journal, First Series, 29 (1928), 175-222.
- 3 M. Futagawa, On the theory of functions of a quaternary variable (Part II), Tohoku Mathematical Journal, First Series, 35, (1932), 69-120.
- 4 K. Koklu, ˙Integral Dönü¸süm ve Uygulamaları, Papatya Yayıncılık, ˙Istanbul, 2018.
- 5 M. E. Luna-Elizarraras, M. Shapiro, D. C. Struppa, A. Vajiac, Bicomplex numbers and their elementary functions. Cubo (Temuco), 14(2) (2012), 61-80.
- 6 G. B. Price, An introduction to multicomplex spaces and functions., M. Dekker, New York, 1991.
- 7 J. D. Riley, Contributions to the theory of functions of a bicomplex variable. Tohoku Mathematical Journal, Second Series, 5(2) (1953), 132-165.
- 8 D. Rochon, M. Shapiro, On algebraic properties of bicomplex and hyperbolic numbers, Anal. Univ. Oradea, fasc. math, 11(71), (2004), 110.
- 9 S. Rönn, Bicomplex algebra and function theory, (2001). arXiv preprint math/0101200.
- 10 C. Segre, Le rappresentazioni reali delle forme complesse e gli enti peralgebrici. Mathematische Annalen, 40(3), (1892), 413-467.
- 11 P. Usta Puhl, Hartley dönüşümleri ve uygulamaları, MsC Thesis, Yildiz Technical Uni, 2016.
Abstract
References
- 1 A. Banerjee, S. K. Datta, M. A. Hoque, Fourier transform for functions of bicomplex variables, arXiv preprint arXiv: 1404.4236, (2014).
- 2 M. Futagawa, On the theory of functions of a quaternary variable, Tohoku Mathematical Journal, First Series, 29 (1928), 175-222.
- 3 M. Futagawa, On the theory of functions of a quaternary variable (Part II), Tohoku Mathematical Journal, First Series, 35, (1932), 69-120.
- 4 K. Koklu, ˙Integral Dönü¸süm ve Uygulamaları, Papatya Yayıncılık, ˙Istanbul, 2018.
- 5 M. E. Luna-Elizarraras, M. Shapiro, D. C. Struppa, A. Vajiac, Bicomplex numbers and their elementary functions. Cubo (Temuco), 14(2) (2012), 61-80.
- 6 G. B. Price, An introduction to multicomplex spaces and functions., M. Dekker, New York, 1991.
- 7 J. D. Riley, Contributions to the theory of functions of a bicomplex variable. Tohoku Mathematical Journal, Second Series, 5(2) (1953), 132-165.
- 8 D. Rochon, M. Shapiro, On algebraic properties of bicomplex and hyperbolic numbers, Anal. Univ. Oradea, fasc. math, 11(71), (2004), 110.
- 9 S. Rönn, Bicomplex algebra and function theory, (2001). arXiv preprint math/0101200.
- 10 C. Segre, Le rappresentazioni reali delle forme complesse e gli enti peralgebrici. Mathematische Annalen, 40(3), (1892), 413-467.
- 11 P. Usta Puhl, Hartley dönüşümleri ve uygulamaları, MsC Thesis, Yildiz Technical Uni, 2016.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Articles |
| Authors | |
| Publication Date | December 28, 2020 |
| Acceptance Date | December 25, 2020 |
| Published in Issue | Year 2020 Volume: 3 Issue: 2 |
