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On the Logarithmic Integral

Yıl 2010, Cilt: 39 Sayı: 3, 393 - 401, 01.03.2010

Öz

The logarithmic integral li(x) and its associated functions li+(x) and li−(x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of these functions and other functions are then found.

Kaynakça

  • Abramowitz, M. and Stegun, I. A. (Eds). Handbook of Mathematical Functions with Formu- las, Graphs and Mathematical Tables, 9th printing(New York: Dover, p. 879, 1972).
  • van der Corput, J. G. Introduction to the neutrix calculus, J. Analyse Math. 7, 291–398, 1959-60.
  • Fisher, B. Neutrices and the convolution of distributions, Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 17, 119–135, 1987.
  • Fisher, B., Jolevska-Tuneska, B. and Taka˘ci, A. On convolutions and neutrix convolutions involving the incomplete gamma function, Integral Transforms and Special Functions 15 (5), 404–415, 2004.
  • Jolevska-Tuneska, B. and Taka˘ci, A. Results on the commutative neutrix convolution product of distributions, Hacettepe J. Math. Stat. 37 (2), 135–141, 2008.
  • Gel’fand, I. M. and Shilov, G. E. Generalized functions, Vol. I (Academic Press Chap. 1, 1964).
  • Jones, D. S. The convolution of generalized functions, Quart. J. Math. Oxford 24 (2), 145– 163, 1973.
Yıl 2010, Cilt: 39 Sayı: 3, 393 - 401, 01.03.2010

Öz

Kaynakça

  • Abramowitz, M. and Stegun, I. A. (Eds). Handbook of Mathematical Functions with Formu- las, Graphs and Mathematical Tables, 9th printing(New York: Dover, p. 879, 1972).
  • van der Corput, J. G. Introduction to the neutrix calculus, J. Analyse Math. 7, 291–398, 1959-60.
  • Fisher, B. Neutrices and the convolution of distributions, Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 17, 119–135, 1987.
  • Fisher, B., Jolevska-Tuneska, B. and Taka˘ci, A. On convolutions and neutrix convolutions involving the incomplete gamma function, Integral Transforms and Special Functions 15 (5), 404–415, 2004.
  • Jolevska-Tuneska, B. and Taka˘ci, A. Results on the commutative neutrix convolution product of distributions, Hacettepe J. Math. Stat. 37 (2), 135–141, 2008.
  • Gel’fand, I. M. and Shilov, G. E. Generalized functions, Vol. I (Academic Press Chap. 1, 1964).
  • Jones, D. S. The convolution of generalized functions, Quart. J. Math. Oxford 24 (2), 145– 163, 1973.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm Matematik
Yazarlar

Brian Fisher Bu kişi benim

Biljana Jolevska-tuneska Bu kişi benim

Yayımlanma Tarihi 1 Mart 2010
Yayımlandığı Sayı Yıl 2010 Cilt: 39 Sayı: 3

Kaynak Göster

APA Fisher, B., & Jolevska-tuneska, B. (2010). On the Logarithmic Integral. Hacettepe Journal of Mathematics and Statistics, 39(3), 393-401.
AMA Fisher B, Jolevska-tuneska B. On the Logarithmic Integral. Hacettepe Journal of Mathematics and Statistics. Mart 2010;39(3):393-401.
Chicago Fisher, Brian, ve Biljana Jolevska-tuneska. “On the Logarithmic Integral”. Hacettepe Journal of Mathematics and Statistics 39, sy. 3 (Mart 2010): 393-401.
EndNote Fisher B, Jolevska-tuneska B (01 Mart 2010) On the Logarithmic Integral. Hacettepe Journal of Mathematics and Statistics 39 3 393–401.
IEEE B. Fisher ve B. Jolevska-tuneska, “On the Logarithmic Integral”, Hacettepe Journal of Mathematics and Statistics, c. 39, sy. 3, ss. 393–401, 2010.
ISNAD Fisher, Brian - Jolevska-tuneska, Biljana. “On the Logarithmic Integral”. Hacettepe Journal of Mathematics and Statistics 39/3 (Mart 2010), 393-401.
JAMA Fisher B, Jolevska-tuneska B. On the Logarithmic Integral. Hacettepe Journal of Mathematics and Statistics. 2010;39:393–401.
MLA Fisher, Brian ve Biljana Jolevska-tuneska. “On the Logarithmic Integral”. Hacettepe Journal of Mathematics and Statistics, c. 39, sy. 3, 2010, ss. 393-01.
Vancouver Fisher B, Jolevska-tuneska B. On the Logarithmic Integral. Hacettepe Journal of Mathematics and Statistics. 2010;39(3):393-401.