Next Article in Journal
Stochastic Simulations of Casual Groups
Previous Article in Journal
Correction: Demidova, L.A. A Novel Approach to Decision-Making on Diagnosing Oncological Diseases Using Machine Learning Classifiers Based on Datasets Combining Known and/or New Generated Features of a Different Nature. Mathematics 2023, 11, 792
Previous Article in Special Issue
The Integral Mittag-Leffler, Whittaker and Wright Functions
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Mathematics
Volume 11
Issue 9
10.3390/math11092151
mathematics-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles thumb_up
...
Endorse textsms
...
Comment
Correction to Mathematics 2020, 8(7), 1058.
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Correction

Correction: Kowalenko, V. Exact Values of the Gamma Function from Stirling’s Formula. Mathematics 2020, 8, 1058

by
Victor Kowalenko
School of Mathematics and Statistics, The University of Melbourne, Parkville, VIC 3010, Australia
Mathematics 2023, 11(9), 2151; https://doi.org/10.3390/math11092151
Submission received: 13 April 2023 / Accepted: 25 April 2023 / Published: 4 May 2023
(This article belongs to the Special Issue Special Functions with Applications to Mathematical Physics)
Versions Notes

Error in Table 4

In the original publication [1], there was a mistake in Table 4 as published. The value of TS for N = 30 is incorrect. The value should be “−52.07235660935681329352406137393 i ”. The corrected Table 4 appears below.
Table
Table 4. ln Γ 3 exp ( i π / 2 ) via (25) for various values of N.
Table 4. ln Γ 3 exp ( i π / 2 ) via (25) for various values of N.
NQuantityValue
F ( 3 exp ( i π / 2 ) ) −4.3427565915140719616112579569 − 0.4895612973931192354299251350522 i
S D 0 S L ( 3 exp ( i π / 2 ) )      3.256206078642828367679816468 ×   10 − 9
Combined−4.3427565882578658829684295892 − 0.4895612973931192354299251350522 i
TS 0
1 R 1 S L ( 3 exp ( i π / 2 ) ) − 0.0278840894653691199321777792256 i
Total−4.3427565882578658829684295892 − 0.5174453868584883553621029142779 i
TS 0 − 0.0278842394252900781377131527007 i
6 R 6 S L ( 3 exp ( i π / 2 ) ) 0 − 1.8907874105339892863379255 ×   10 − 8 i
Total−4.3427565882578658829684295892 − 0.51744555572628341890753115113225 i
TS 0 − 0.0278842563298976281594154202028 i
9 R 9 S L ( 3 exp ( i π / 2 ) ) 0 + 3.2562060786428283676798164 ×   10 − 9 i
Total−4.3427565882578658829684295892 − 0.51744555572628341890753115113225 i
TS 0 − 0.0278842691899612112195938305035 i
15 R 15 S L ( 3 exp ( i π / 2 ) ) 0 + 1.0856797027741987814423624 ×   10 − 8 i
Total−4.3427565882578658829684295892 − 0.51744555572628341890753115113225 i
TS 0 − 52.07235660935681329352406137393 i
30 R 30 S L ( 3 exp ( i π / 2 ) ) 0 + 52.044472351023649035874440121314 i
Total−4.3427565882578658829684295892 − 0.51744555572628341890753115113225 i
TS 0 − 6.4908409843349435181620453 ×   10 25 i
50 R 50 S L ( 3 exp ( i π / 2 ) ) 0 + 6.4908409843349435181620453 ×   10 25 i
Total−4.3427565882578658829684295892 − 0.51744555572628341890753115113225 i
ln Γ ( 3 exp ( i π / 2 ) ) −4.3427565882578658829684295892 − 0.51744555572268341890753115113225 i
The author states that the scientific conclusions are unaffected. This correction was approved by the Academic Editor. The original publication has also been updated.

Reference

  1. Kowalenko, V. Exact Values of the Gamma Function from Stirling’s Formula. Mathematics 2020, 8, 1058. [Google Scholar] [CrossRef]
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.

Share and Cite

MDPI and ACS Style

Kowalenko, V. Correction: Kowalenko, V. Exact Values of the Gamma Function from Stirling’s Formula. Mathematics 2020, 8, 1058. Mathematics 2023, 11, 2151. https://doi.org/10.3390/math11092151

AMA Style

Kowalenko V. Correction: Kowalenko, V. Exact Values of the Gamma Function from Stirling’s Formula. Mathematics 2020, 8, 1058. Mathematics. 2023; 11(9):2151. https://doi.org/10.3390/math11092151

Chicago/Turabian Style

Kowalenko, Victor. 2023. "Correction: Kowalenko, V. Exact Values of the Gamma Function from Stirling’s Formula. Mathematics 2020, 8, 1058" Mathematics 11, no. 9: 2151. https://doi.org/10.3390/math11092151

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop