Undergrad I would like opinions of the latest draft of my note - Integration

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The discussion revolves around a note titled "Evaluation of a Class of n-fold Integrals by Means of Hadamard Fractional Integration," which aims to present findings in a way accessible to those unfamiliar with fractional calculus. The author, a senior math major, seeks feedback from experienced analysts on the proofs provided in the note. Concerns were raised about a potential omission in Theorem 2.2 regarding a missing term, but the author confirmed the equation is correct. The note includes examples to illustrate the concepts discussed. Overall, the author emphasizes the note's clarity and invites constructive criticism.
benorin
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The note is entitled: Evaluation of a Class of n-fold Integrals by Means of Hadamard Fractional Integration. 4 pgs pdf format.

I assure you that you need not know anything about fractional calculus at all to understand this note that Howard Cohl helped me with. We only use a single interpolation theorem from fractional calculus to establish the result. Examples are given.

I was a lowly undergrad (senior math major) when last I was in school so I’d appreciate it if you more experienced Analysis ppl would give my proofs a once over please?

Thank you,
-Ben

I assure you that the attached pdf file does not contain viruses nor malicious macros, etc. just math. Promise.
 

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Images of each page of the pdf I will post here for a safe viewing experience.

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In the equation in Theorem 2.2 are you missing a ##\frac{1}{t}## on the left hand side?
 
Paul Colby said:
In the equation in Theorem 2.2 are you missing a ##\frac{1}{t}## on the left hand side?
I don’t think so. I did look at it tho.
 
Noticed a page was missing from my #2 post in this thread (the screens, not the pdf), it has been edited in.