KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 39 Issue: 3

On the Logarithmic Integral

Brian Fisher
Biljana Jolevska-tuneska
Sayfa
—
Yayın Tarihi
2010-03-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Some convolutions and neutrix convolutions of these functions and other functions are then found.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The logarithmic integral li(x) and its associated functions li+(x) and li−(x) are defined as locally summable functions on the real line.
📊
Temel Bulgular & Veri:The logarithmic integral li(x) and its associated functions li+(x) and li−(x) are defined as locally summable functions on the real line.
💡
Sonuç & Katkı:Some convolutions and neutrix convolutions of these functions and other functions are then found.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Logarithmic integral · Distribution · Convolution

Abstract

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.

🔖

Bu Makaleye Atıf Yap

Fisher, B., Jolevska-tuneska, B. (2010). On the Logarithmic Integral. Hacettepe Journal of Mathematics and Statistics, Volume: 39 Issue: 3. https://ajindex.com/articles/1403700

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (7)

  1. 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).
  2. van der Corput, J. G. Introduction to the neutrix calculus, J. Analyse Math. 7, 291–398, 1959-60.
  3. Fisher, B. Neutrices and the convolution of distributions, Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 17, 119–135, 1987.
  4. 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.
  5. 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.
  6. Gel’fand, I. M. and Shilov, G. E. Generalized functions, Vol. I (Academic Press Chap. 1, 1964).
  7. Jones, D. S. The convolution of generalized functions, Quart. J. Math. Oxford 24 (2), 145– 163, 1973.