Summer of Math Exposition

Riemann-Liouville Integral and Mellin Transform

In this paper I would like to introduce the generalized multiple integral,Riemann-Liouville integral, and see its application on special functions, such as Gamma function and Zeta function, by using Mellin Transform.

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2.1 Overall score*
6 Votes
5 Comments
Rank 44

Comments

While I am sure this is a good paper, it is not a good SoME entry. A layman can barely get past the first page without many questions that remain unanswered. Your writing style is very dry, sparse and jargon-heavy. Complex numbers are a very interesting subject, but you provide no explanation, background or motivation as to why this is or why the RL Integral and Mellin transform are of any importance. I do not wish to be harsh but the reality is that this article does not serve its purpose as educational content.

1

Very high level topic & content without building up for less experienced audiences

3.1

I thought the idea of SOME was for entries to be accessible to those without a large amount of mathematical training. This paper seemed a little too much geared toward those with at least a BS in math.

2.8

Not really in the spirit of SoME. This is just a math paper, not exposition or even educational.

1.3

The article immediately goes into complex analysis which probably scares people away who haven't had much experience with it. Also it's hard to see what the the "main argument" of the article. In general it doesn't satisfy all 4 guidelines: Motivation: it's not obvious what the "cool thing" is about Riemann-Liouville integrals are or why Mellin transforms are important, it just kinda dives deep immediately to the formulas and integrals Clarity: it requires too much background in complex analysis and it's near impossible for people without it to understand Novelty: I don't know if Riemann-Liouville integrals are a "novel" idea but the way of presenting it seems to be the typical way of introducing math concepts to university students Memorability: probably even someone with good background in complex analysis will find it hard to appreciate the "coolness" of what this article is trying to say

1.7