Conference Paper

On Integral Transforms of Some Special Functions

Volume: 3 Number: 2 December 28, 2020
EN

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

References

  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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Conference Paper

Publication Date

December 28, 2020

Submission Date

October 28, 2020

Acceptance Date

December 25, 2020

Published in Issue

Year 2020 Volume: 3 Number: 2

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, and 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 (December 1, 2020) On Integral Transforms of Some Special Functions. Conference Proceedings of Science and Technology 3 2 215–221.
IEEE
[1]S. Halıcı and Ş. Çürük, “On Integral Transforms of Some Special Functions”, Conference Proceedings of Science and Technology, vol. 3, no. 2, pp. 215–221, Dec. 2020, [Online]. Available: https://izlik.org/JA59FN34AE
ISNAD
Halıcı, Serpil - Çürük, Şule. “On Integral Transforms of Some Special Functions”. Conference Proceedings of Science and Technology 3/2 (December 1, 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, and Şule Çürük. “On Integral Transforms of Some Special Functions”. Conference Proceedings of Science and Technology, vol. 3, no. 2, Dec. 2020, pp. 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]. 2020 Dec. 1;3(2):215-21. Available from: https://izlik.org/JA59FN34AE