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RESULTS ON THE COMMUTATIVE NEUTRIX CONVOLUTION PRODUCT OF DISTRIBUTIONS

Year 2008, Volume: 37 Issue: 2, 135 - 141, 01.02.2008
https://izlik.org/JA54SR29ZW

Abstract

Let Li(x) denote the dilogarithm integral. The goal of this paper is to evaluate several commutative neutrix convolution products involving the dilogarithm integral and its associated functions Li+(x) and Li−(x).

References

  • Abramowitz, M. and Stegun, I. A. (Eds) Handbook of Mathematical Functions with formu- las, Graphs and Mathematical Tables, 9th printing(New York: Dover, 1972), 1004-1005.
  • van der Corput, J. G. Introduction to the neutrix calculus, J. Analyse Math. 7, 291–398, 1959.
  • Fisher, B. and Li, C. K. A commutative neutrix convolution product of distributions, Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 23, 13–27, 1993.
  • Fisher, B., ¨Oz¸ca˘g, E. and G¨ulen, ¨U. The exponential integral and the commutative neutrix convolution product, J. Analysis 7, 7–20, 1999.
  • Jolevska-Tuneska, B., Fisher, B. and ¨Oz¸ca˘g, E. On the dilogarithm integral, submited for publication.
  • Gel’fand, I. M. and Shilov, G. E. Generalized functions, Vol. I (Academic Press, 1964), Chap. 1.
  • Jones, D. S. The convolution of generalized functions, Quart. J. Math. Oxford 24 (2), 145– 163, 1973.

RESULTS ON THE COMMUTATIVE NEUTRIX CONVOLUTION PRODUCT OF DISTRIBUTIONS

Year 2008, Volume: 37 Issue: 2, 135 - 141, 01.02.2008
https://izlik.org/JA54SR29ZW

Abstract

References

  • Abramowitz, M. and Stegun, I. A. (Eds) Handbook of Mathematical Functions with formu- las, Graphs and Mathematical Tables, 9th printing(New York: Dover, 1972), 1004-1005.
  • van der Corput, J. G. Introduction to the neutrix calculus, J. Analyse Math. 7, 291–398, 1959.
  • Fisher, B. and Li, C. K. A commutative neutrix convolution product of distributions, Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 23, 13–27, 1993.
  • Fisher, B., ¨Oz¸ca˘g, E. and G¨ulen, ¨U. The exponential integral and the commutative neutrix convolution product, J. Analysis 7, 7–20, 1999.
  • Jolevska-Tuneska, B., Fisher, B. and ¨Oz¸ca˘g, E. On the dilogarithm integral, submited for publication.
  • Gel’fand, I. M. and Shilov, G. E. Generalized functions, Vol. I (Academic Press, 1964), Chap. 1.
  • Jones, D. S. The convolution of generalized functions, Quart. J. Math. Oxford 24 (2), 145– 163, 1973.
There are 7 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Research Article
Authors

B. Jolevska-tuneska This is me

A. Takaci This is me

Publication Date February 1, 2008
IZ https://izlik.org/JA54SR29ZW
Published in Issue Year 2008 Volume: 37 Issue: 2

Cite

APA Jolevska-tuneska, B., & Takaci, A. (2008). RESULTS ON THE COMMUTATIVE NEUTRIX CONVOLUTION PRODUCT OF DISTRIBUTIONS. Hacettepe Journal of Mathematics and Statistics, 37(2), 135-141. https://izlik.org/JA54SR29ZW
AMA 1.Jolevska-tuneska B, Takaci A. RESULTS ON THE COMMUTATIVE NEUTRIX CONVOLUTION PRODUCT OF DISTRIBUTIONS. Hacettepe Journal of Mathematics and Statistics. 2008;37(2):135-141. https://izlik.org/JA54SR29ZW
Chicago Jolevska-tuneska, B., and A. Takaci. 2008. “RESULTS ON THE COMMUTATIVE NEUTRIX CONVOLUTION PRODUCT OF DISTRIBUTIONS”. Hacettepe Journal of Mathematics and Statistics 37 (2): 135-41. https://izlik.org/JA54SR29ZW.
EndNote Jolevska-tuneska B, Takaci A (February 1, 2008) RESULTS ON THE COMMUTATIVE NEUTRIX CONVOLUTION PRODUCT OF DISTRIBUTIONS. Hacettepe Journal of Mathematics and Statistics 37 2 135–141.
IEEE [1]B. Jolevska-tuneska and A. Takaci, “RESULTS ON THE COMMUTATIVE NEUTRIX CONVOLUTION PRODUCT OF DISTRIBUTIONS”, Hacettepe Journal of Mathematics and Statistics, vol. 37, no. 2, pp. 135–141, Feb. 2008, [Online]. Available: https://izlik.org/JA54SR29ZW
ISNAD Jolevska-tuneska, B. - Takaci, A. “RESULTS ON THE COMMUTATIVE NEUTRIX CONVOLUTION PRODUCT OF DISTRIBUTIONS”. Hacettepe Journal of Mathematics and Statistics 37/2 (February 1, 2008): 135-141. https://izlik.org/JA54SR29ZW.
JAMA 1.Jolevska-tuneska B, Takaci A. RESULTS ON THE COMMUTATIVE NEUTRIX CONVOLUTION PRODUCT OF DISTRIBUTIONS. Hacettepe Journal of Mathematics and Statistics. 2008;37:135–141.
MLA Jolevska-tuneska, B., and A. Takaci. “RESULTS ON THE COMMUTATIVE NEUTRIX CONVOLUTION PRODUCT OF DISTRIBUTIONS”. Hacettepe Journal of Mathematics and Statistics, vol. 37, no. 2, Feb. 2008, pp. 135-41, https://izlik.org/JA54SR29ZW.
Vancouver 1.B. Jolevska-tuneska, A. Takaci. RESULTS ON THE COMMUTATIVE NEUTRIX CONVOLUTION PRODUCT OF DISTRIBUTIONS. Hacettepe Journal of Mathematics and Statistics [Internet]. 2008 Feb. 1;37(2):135-41. Available from: https://izlik.org/JA54SR29ZW