Cauchy-Stieltjes Kernel Families and Free Multiplicative Convolution
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2023/02/19
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Indian UGC (journal)
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Refrences21
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Citations6
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Raouf Fakhfakh
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Abdelhamid Hassairi
Cite
Fakhfakh, Raouf, and Abdelhamid Hassairi. “Cauchy-Stieltjes Kernel Families and Free Multiplicative Convolution”. Communications in Mathematics and Statistics, 2023, https://doi.org/10.1007/s40304-022-00311-9.
Fakhfakh, R., & Hassairi, A. (2023). Cauchy-Stieltjes Kernel Families and Free Multiplicative Convolution. Communications in Mathematics and Statistics. https://doi.org/10.1007/s40304-022-00311-9
Fakhfakh, Raouf, and Abdelhamid Hassairi. “Cauchy-Stieltjes Kernel Families and Free Multiplicative Convolution”. Communications in Mathematics and Statistics, 2023. https://doi.org/10.1007/s40304-022-00311-9.
1.
Fakhfakh R, Hassairi A. Cauchy-Stieltjes Kernel Families and Free Multiplicative Convolution. Communications in Mathematics and Statistics. 2023;.
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Cauchy–Stieltjes families with polynomial variance functions and generalized orthogonality | Probability and Mathematical Statistics |
| 13 | 2019 |
| Local limit theorems for multiplicative free convolutions | Journal of Functional Analysis |
| 8 | 2014 |
| One-Sided Cauchy–Stieltjes Kernel Families | Journal of Theoretical Probability |
| 18 | 2011 |
| On a remarkable semigroup of homomorphisms with respect to free multiplicative convolution | Indiana University Mathematics Journal |
| 35 | 2008 |
| On a remarkable semigroup of homomorphisms with respect to free multiplicative convolution | Indiana University Mathematics Journal |
| 35 | 2008 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 7 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 1 |
The category
Science: Mathematics 7
is the most frequently represented among the references in this article. It primarily includes studies from Indiana University Mathematics Journal and Journal of Functional Analysis. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| On some explicit limiting distributions related to free multiplicative law of large numbers | Proceedings - Mathematical Sciences |
| 2024 | |
| Cauchy-Stieltjes Kernel families: Some properties | Statistics & Probability Letters |
| 2024 | |
V_a
-deformed free convolution and variance function | Georgian Mathematical Journal |
| 2024 | |
Some Limiting Laws in Non-Commutative Probability | Axioms |
| 2024 | |
On Generalized t-Transformation of Free Convolution | Symmetry |
| 2024 |
Citations Analysis
The category
Science: Mathematics 6
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Fermi convolution and variance function and was published in 2023. The most recent citation comes from a 2024 study titled On Generalized t-Transformation of Free Convolution. This article reached its peak citation in 2024, with 5 citations. It has been cited in 6 different journals, 33% of which are open access. Among related journals, the Symmetry cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.