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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2007 / Cilt: 36 - Sayı: 2

Results on the Neutrix Composition of the Delta Function

Brain FISHER
Tanyong KRAIWEERADECHAI
Emin ÖZÇAĞ
Sayfa
147–156
Yayın Tarihi
2022-10-18
DOI
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FISHER, B., KRAIWEERADECHAI, T., ÖZÇAĞ, E. (2022). Results on the Neutrix Composition of the Delta Function. Hacettepe Journal of Mathematics and Statistics, Cilt: 36 - Sayı: 2, 147–156. https://ajindex.com/articles/530757

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Kaynakça (12)

  1. van der Corput, J. G. Introduction to the neutrix calculus, J. Analyse Math. 7, 291–398,
  2. Fisher, B. On defining the distribution δ(r)(f (x)), Rostock. Math. Kolloq. 23, 73–80, 1983.
  3. Fisher, B. On defining the change of variable in distributions, Rostock. Math. Kolloq. 28, –40, 1985.
  4. Fisher, B. The delta function and the composition of distributions, Dem. Math. 35 (1), –123, 2002.
  5. Fisher, B. The composition and neutrix composition of distributions, in: Kenan Ta¸s, et al. (Eds.) (Mathematical Methods in Engineering, Springer, Dordrecht, 2007, pp. 59–69).
  6. Fisher, B. and Jolevska-Tuneska, B. Two results on the composition of distributions, Thai. J. Math. 3 (1), 17–26, 2005.
  7. Fisher, B., Jolevska-Tuneska, B. and ¨Oz¸ca¯g, E. Further results on the composition of dis- tributions, Integral Transforms Spec. Funct. 13 (2),109–116, 2002. Fisher,B., Kananthai, A., Sritanatana, G. and Nonlaopon, K. The composition of the dis- tributions xmsln x−and x − r−p/m +, Integral Transforms Spec. Funct. 16 (1), 13–20, 2005.
  8. Fisher, B. and Ta¸s, K. On the composition of the distributions x−rand xµ, Indian J. Pure + + Appl. Math. 36 (1), 11–22, 2005.
  9. Fisher, B. and Ta¸s, K. On the composition of the distributions x−1ln |x| and xr,Integral + Transforms Spec. Funct. 16 (7), 533–543, 2005.
  10. Fisher, B. and Ta¸s, K. On the composition of the distributions xλand xµ, J. Math. Anal. ++ Appl. 318 (1), 102–111, 2006. Gel’fand, I. M. and Shilov, G. E. Generalized Functions, Volume 1 (Academic Press, New York and London, 1st edition, 1964).
  11. Koh, E. L. and Li, C. K. On Distributions δkand(δ0)k,Math. Nachr. 157, 243–248, 1992.
  12. Kou, H. and Fisher, B. On Composition of Distributions, Publ. Math. Debrecen 40 (3-4), –290, 1992. ¨Oz¸ca¯g, Emin Defining the kth Powers of the Dirac Delta Distribution for Negative Integers, Appl. Math. Letters 14, 419–423, 2001. ¨Oz¸ca¯g, E., Ege, I. and G¨ur¸cay, H. On Powers of the Heaviside Function for negative integers, J. Math. Anal. Appl. 326, 101–107, 2007.