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On Integral Transforms of Some Special Functions

Yıl 2020, Cilt: 3 Sayı: 2, 215 - 221, 28.12.2020

Serpil Halıcı , Şule Çürük

Öz

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.


Anahtar Kelimeler

bicomplex functions Fourier type integral transformations integral transformations of special functions integral transformations

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.
  • 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.

Yıl 2020, Cilt: 3 Sayı: 2, 215 - 221, 28.12.2020

Serpil Halıcı , Şule Çürük

Öz

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.
  • 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.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Serpil Halıcı 0000-0002-8071-0437

Şule Çürük

Yayımlanma Tarihi 28 Aralık 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.
AMA Halıcı S, Çürük Ş. On Integral Transforms of Some Special Functions. Conference Proceedings of Science and Technology. Aralık 2020;3(2):215-221.
Chicago Halıcı, Serpil, ve Şule Çürük. “On Integral Transforms of Some Special Functions”. Conference Proceedings of Science and Technology 3, sy. 2 (Aralık 2020): 215-21.
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 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, 2020.
ISNAD Halıcı, Serpil - Çürük, Şule. “On Integral Transforms of Some Special Functions”. Conference Proceedings of Science and Technology 3/2 (Aralık 2020), 215-221.
JAMA 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, 2020, ss. 215-21.
Vancouver Halıcı S, Çürük Ş. On Integral Transforms of Some Special Functions. Conference Proceedings of Science and Technology. 2020;3(2):215-21.
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