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Dergiler / Conference Proceedings of Science and Technology / 2020 / Cilt: 3 Sayı: 2

On Integral Transforms of Some Special Functions

Serpil Halıcı(PAMUKKALE ÜNİVERSİTESİ)0000-0002-8071-0437
Şule Çürük(PAMUKKALE ÜNİVERSİTESİ)
Sayfa
215–221
Yayın Tarihi
2020-12-28
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, the relation between Hartley and Fourier transform for bicomplex numbers is given.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, known integral transforms such as Fourier and Hartley are studied and these integral transforms are studied in detail for bicomplex numbers.
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Temel Bulgular & Veri:In addition, the properties of the bicomplex Hartley transform have been investigated.
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Sonuç & Katkı:Also, the relation between Hartley and Fourier transform for bicomplex numbers is given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:bicomplex functions · Fourier type integral transformations · integral transformations of 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.

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Bu Makaleye Atıf Yap

Halıcı, S., Çürük, Ş. (2020). On Integral Transforms of Some Special Functions. Conference Proceedings of Science and Technology, Cilt: 3 Sayı: 2, 215–221. https://ajindex.com/articles/984322

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Kaynakça (11)

  1. 1 A. Banerjee, S. K. Datta, M. A. Hoque, Fourier transform for functions of bicomplex variables, arXiv preprint arXiv: 1404.4236, (2014).
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  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.
  9. 9 S. Rönn, Bicomplex algebra and function theory, (2001). arXiv preprint math/0101200.
  10. 10 C. Segre, Le rappresentazioni reali delle forme complesse e gli enti peralgebrici. Mathematische Annalen, 40(3), (1892), 413-467.
  11. 11 P. Usta Puhl, Hartley dönüşümleri ve uygulamaları, MsC Thesis, Yildiz Technical Uni, 2016.