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Journals / Hacettepe Journal of Mathematics and Statistics / 2008 / Cilt: 37 - Sayı: 2

RESULTS ON THE COMMUTATIVE NEUTRIX CONVOLUTION PRODUCT OF DISTRIBUTIONS

Arpad TAKACİ
Biljana Jolevska TUNESKA
Pages
135–141
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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).

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let Li(x) denote the dilogarithm integral.
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Key Findings & Data:Let Li(x) denote the dilogarithm integral.
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Conclusion & Impact: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).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Dilogarithm integral · Distribution · Convolution

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).

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Cite This Article

TAKACİ, A., TUNESKA, B. J. (2022). RESULTS ON THE COMMUTATIVE NEUTRIX CONVOLUTION PRODUCT OF DISTRIBUTIONS. Hacettepe Journal of Mathematics and Statistics, Cilt: 37 - Sayı: 2, 135–141. https://ajindex.com/articles/530723

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References (4)

  1. 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.
  2. 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.
  3. 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.
  4. 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.