I have discovered a new formula that approximates the factorial function. It is more accurate than Stirling’s approximation. How do I go about publishing it and receive the credit for it?
Well, you could first publish it at https://arxiv.org/, section Mathematics. Then you could go for a combinatorics journal. However, stay away from the predatory journals, here is a list of them: https://beallslist.weebly.com/. All journals not on this list can be viewed as non-predatory journals. Pick one of them. Journals are ranked by ''impact factor''. Pick a journal with a higher impact factor such as in https://www.scimagojr.com/journalrank.php. This will give you more credit, a higher reputation. After picking a journal, follow the author guidelines on the journal's homepage to submit the manuscript (usually PDF). Good luck!