The Cauchy integral formula and distributional integration
Complex Variables and Elliptic Equations, ISSN: 1747-6941, Vol: 64, Issue: 11, Page: 1854-1868
2019
- 1Citations
- 7Usage
- 1Captures
Metric Options: Counts1 Year3 YearSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Citations1
- Citation Indexes1
- CrossRef1
- Usage7
- Abstract Views7
- Captures1
- Readers1
Article Description
We study the Cauchy representation formula for analytic functions on the unit disc whose pointwise boundary value function is distributionally integrable. We prove that the formula holds when the distributional boundary values exist, and give examples that show that it may not be true when that is not the case. We also prove a maximum principle for pointwise boundary values valid for functions with distributional boundary values.
Bibliographic Details
https://digitalcommons.lsu.edu/mathematics_pubs/264; https://repository.lsu.edu/mathematics_pubs/264
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85059036675&origin=inward; http://dx.doi.org/10.1080/17476933.2018.1557159; https://www.tandfonline.com/doi/full/10.1080/17476933.2018.1557159; https://digitalcommons.lsu.edu/mathematics_pubs/264; https://digitalcommons.lsu.edu/cgi/viewcontent.cgi?article=1263&context=mathematics_pubs; https://repository.lsu.edu/mathematics_pubs/264; https://repository.lsu.edu/cgi/viewcontent.cgi?article=1263&context=mathematics_pubs; https://dx.doi.org/10.1080/17476933.2018.1557159
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