Stirling's Formula and Its Extension for the Gamma Function

Authors

    Authors

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

    Comments

    Authors: contact us about adding a copy of your work at [email protected]

    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

    Share

    COinS
     

    Accessibility Statement

    This item was created or digitized prior to April 24, 2027, or is a reproduction of legacy media created before that date. It is preserved in its original, unmodified state specifically for research, reference, or historical recordkeeping. In accordance with the ADA Title II Final Rule, the University Libraries provides accessible versions of archival materials upon request. To request an accommodation for this item, please submit an accessibility request form.