On Integral Transforms of Some Special Functions
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
Kaynakça
- 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.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Konferans Bildirisi
Yayımlanma Tarihi
28 Aralık 2020
Gönderilme Tarihi
28 Ekim 2020
Kabul Tarihi
25 Aralık 2020
Yayımlandığı Sayı
Yıl 2020 Cilt: 3 Sayı: 2