I'm interested in the Special Functions especially the Gamma Function. I decided to write a Bachelor Thesis about it but I do not know what kind of theorem(s) in the Gamma Function that is (are) very important or popular. Can you suggest some ideas?
2026-04-05 20:39:17.1775421557
Which theorems in the Gamma Function are important?
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There are some milestones:
You may further investigate the Wallis product and Gautchi's inequality, the Laplace transform of $x^u$ (and the bound for the least quadratic non-residue given by Ankeny through that technique, very interesting), problems related with the digamma function, relations between some values of the $\Gamma$ function and some elliptic integrals, irrationality or trascendence of some values of the $\Gamma$ function and much more. It is a very nice topic.