MHB Get a Detailed Proof of Stirling's Formula

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A request for a detailed proof of Stirling's formula, particularly in relation to the gamma function, highlights the difficulty some readers face with shortcut steps in Walter Rudin's "Principles of Mathematical Analysis." The Wikipedia page on Stirling's formula is suggested as a resource, offering two proofs that, while not entirely free of shortcuts, include links to detailed explanations of the omitted steps. This could help those struggling to grasp the concepts fully. The discussion emphasizes the need for accessible resources to understand complex mathematical proofs. Accessing these resources can enhance comprehension of Stirling's formula and its applications.
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hey, can someone suggest where will a get a detailed proof of stirling's formula (related with gamma function). I read it from PRINCIPLES OF MATHEMATICAL ANALYSIS Walter Rudin,but in it many shortcut steps are there, which is either beyond my knowledge, or i m not getting it.
 
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Pratibha said:
hey, can someone suggest where will a get a detailed proof of stirling's formula (related with gamma function). I read it from PRINCIPLES OF MATHEMATICAL ANALYSIS Walter Rudin,but in it many shortcut steps are there, which is either beyond my knowledge, or i m not getting it.
The Wikipedia page on Stirling's formula gives two proofs. They are not completely free of shortcuts, but they provide links to details of all the missing steps.
 

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