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On Integral Transforms of Some Special Functions

Cilt: 3 Sayı: 2 28 Aralık 2020
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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. 1 A. Banerjee, S. K. Datta, M. A. Hoque, Fourier transform for functions of bicomplex variables, arXiv preprint arXiv: 1404.4236, (2014).
  2. 2 M. Futagawa, On the theory of functions of a quaternary variable, Tohoku Mathematical Journal, First Series, 29 (1928), 175-222.
  3. 3 M. Futagawa, On the theory of functions of a quaternary variable (Part II), Tohoku Mathematical Journal, First Series, 35, (1932), 69-120.
  4. 4 K. Koklu, ˙Integral Dönü¸süm ve Uygulamaları, Papatya Yayıncılık, ˙Istanbul, 2018.
  5. 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. 6 G. B. Price, An introduction to multicomplex spaces and functions., M. Dekker, New York, 1991.
  7. 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. 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

Kaynak Göster

APA
Halıcı, S., & Çürük, Ş. (2020). On Integral Transforms of Some Special Functions. Conference Proceedings of Science and Technology, 3(2), 215-221. https://izlik.org/JA59FN34AE
AMA
1.Halıcı S, Çürük Ş. On Integral Transforms of Some Special Functions. Conference Proceedings of Science and Technology. 2020;3(2):215-221. https://izlik.org/JA59FN34AE
Chicago
Halıcı, Serpil, ve Şule Çürük. 2020. “On Integral Transforms of Some Special Functions”. Conference Proceedings of Science and Technology 3 (2): 215-21. https://izlik.org/JA59FN34AE.
EndNote
Halıcı S, Çürük Ş (01 Aralık 2020) On Integral Transforms of Some Special Functions. Conference Proceedings of Science and Technology 3 2 215–221.
IEEE
[1]S. Halıcı ve Ş. Çürük, “On Integral Transforms of Some Special Functions”, Conference Proceedings of Science and Technology, c. 3, sy 2, ss. 215–221, Ara. 2020, [çevrimiçi]. Erişim adresi: https://izlik.org/JA59FN34AE
ISNAD
Halıcı, Serpil - Çürük, Şule. “On Integral Transforms of Some Special Functions”. Conference Proceedings of Science and Technology 3/2 (01 Aralık 2020): 215-221. https://izlik.org/JA59FN34AE.
JAMA
1.Halıcı S, Çürük Ş. On Integral Transforms of Some Special Functions. Conference Proceedings of Science and Technology. 2020;3:215–221.
MLA
Halıcı, Serpil, ve Şule Çürük. “On Integral Transforms of Some Special Functions”. Conference Proceedings of Science and Technology, c. 3, sy 2, Aralık 2020, ss. 215-21, https://izlik.org/JA59FN34AE.
Vancouver
1.Serpil Halıcı, Şule Çürük. On Integral Transforms of Some Special Functions. Conference Proceedings of Science and Technology [Internet]. 01 Aralık 2020;3(2):215-21. Erişim adresi: https://izlik.org/JA59FN34AE