Stirling's Formula and Its Extension for the Gamma Function

Authors

    Authors

    D. E. Dutkay; C. P. Niculescu;F. Popovici

    Comments

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    Abbreviated Journal Title

    Am. Math. Mon.

    Keywords

    PROOF; Mathematics

    Abstract

    We present new short proofs for both Stirling's formula and Stirling's formula for the Gamma function. Our approach in the first case relies upon analysis of Wallis' formula, while the second result follows from the log-convexity property of the Gamma function.

    Journal Title

    American Mathematical Monthly

    Volume

    120

    Issue/Number

    8

    Publication Date

    1-1-2013

    Document Type

    Article

    Language

    English

    First Page

    737

    Last Page

    740

    WOS Identifier

    WOS:000324973900006

    ISSN

    0002-9890

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