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21 January 2026
| 20:38 | Upload log T talk contribs uploaded File:GammaAsymptoBgreeT.png ({{oq|GammaAsymptoBgreeT.png|Original file (800 × 667 pixels, file size: 26 KB, MIME type: image/png)|400}} Agreement of Gamma function (implemented through the Factorial from fac.cin) with its asymptotic by <ref name="DLMF"> https://dlmf.nist.gov/5.11 About the Project 5 Gamma Function .. The expansion (5.11.1) is called Stirling’s series (Whittaker and Watson (1927, §12.33)), whereas the expansion (5.11.3), or sometimes just its leading term, is known as Stirling’s formula...) | ||||
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00:47 | Factorial 2 changes history +320 [T (2×)] | |||
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00:47 (cur | prev) +1 T talk contribs →LogFactorial: misprint | ||||
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00:24 (cur | prev) +319 T talk contribs redefine B; add picture | ||||
20 January 2026
| m 18:23 | File:FactoriAsymptoBgreeT.png diffhist +286 T talk contribs →Notes by ChatGPT | ||||
| 18:03 | Upload log T talk contribs uploaded File:FactoriAsymptoBgreeT.png ({{oq|FactoriAsymptoBgreeT.png|Original file (800 × 667 pixels, file size: 24 KB, MIME type: image/png) |400}} Map of agreement \[ b(z) = - \lg \left(\frac {|z!-B(z)|} {|z!|+|B(z)|} \right) \] of the asymptotic \( B(z)= \sqrt{2\pi z}\ \exp\left(\log\left(\frac{z}{\mathrm e} \right) z \right) \left(1+ \frac{1}{z}\left(\frac{1}{12}+ \frac{1}{z}\left(\frac{1}{288}+ \frac{1}{z}\left(\frac{-139}{51840}+ \frac{1}{z}\left(\frac{-571}{2488320}+ \frac{1}{z}\left(\frac{163879}{209018880}+ \frac...) | ||||
19 January 2026
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20:37 | Factorial 5 changes history +2,769 [T (5×)] | |||
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20:37 (cur | prev) +6 T talk contribs | ||||
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16:10 (cur | prev) +69 T talk contribs | ||||
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15:43 (cur | prev) +185 T talk contribs mistake about ! and Gamma | ||||
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15:03 (cur | prev) +58 T talk contribs | |||
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14:53 (cur | prev) +2,451 T talk contribs add pic and formulas | ||||
| 19:48 | Upload log T talk contribs uploaded a new version of File:FactoriAsymptoAgreeT.png (misprint in the code had been corrected) | ||||
| 00:46 | File:FactoriAsymptoAgreeT.png diffhist +270 T talk contribs misprints | ||||
18 January 2026
| m 22:39 | Asymptotic diffhist +2 T talk contribs | ||||
| 22:24 | File:FactoriAsymptoAgreeT.png diffhist +1,551 T talk contribs | ||||
| 18:36 | Upload log T talk contribs uploaded File:FactoriAsymptoAgreeT.png ({{oq|FactoriAsymptoAgreeT.png|Original file (800 × 667 pixels, file size: 50 KB, MIME type: image/png)|400}} Map of agreement \[ a(z) = - \lg \left(\frac {|z!-A(z)|} {|z!|+|A(z)|} \right) \] of the asymptotic \[ A(z)= \sqrt{2\pi z}\ \exp\left(\log\left(\frac{z}{\mathrm e} \right) z + \frac{1}{12 z}\left(1+ \frac{1}{z^2}\left(\frac{-1}{30}+ \frac{1}{z^2}\left(\frac{1}{105}+ \frac{1}{z^2}\left(\frac{-1}{140}+ \frac{1}{z^2}\left(\frac{1}{99}+ \frac{1}{z^2}\left(\frac{-1}{42} \right) \rig...) | ||||
| 00:40 | File:Z2sin1zMapT.png diffhist -149 T talk contribs Stricted asymptotic | ||||
17 January 2026
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10:59 | File:Z2sin1zMapT.png 8 changes history +139 [T (8×)] | |||
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10:59 (cur | prev) -38 T talk contribs | |||
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10:52 (cur | prev) 0 T talk contribs →Keywords | ||||
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10:51 (cur | prev) +55 T talk contribs →Summary | ||||
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10:46 (cur | prev) +92 T talk contribs acknowledgement | |||
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10:31 (cur | prev) +5 T talk contribs | ||||
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10:30 (cur | prev) -1 T talk contribs correction suggested by ChatGPT | ||||
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10:29 (cur | prev) +9 T talk contribs terminology correction suggested by ChatGPT | ||||
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10:25 (cur | prev) +17 T talk contribs →Summary | ||||
| 10:02 | Upload log T talk contribs uploaded File:Z2sin1zMapT.png ({{oq|Z2sin1zMapT.png|Original file (1,933 × 1,124 pixels, file size: 118 KB, MIME type: image/png)|400}} Complex map of function \(f= z \mapsto z^2\sin(1/z) \ \). Notation: \( u+\mathrm i v = f(x\!+\!\mathrm i y)\ \); levels \(u=\mathrm{const}\) and levels \(v=\mathrm{const}\) are drawn. The conditional asymptotic \( z \mapsto 0\ \) takes place at \( z \to 0 \ , |\Im(z)|<\Re(z)^2\) : \[ \lim_{z\to 0,\ |\Im(z)|<\Re(z)^2 } f(z)=0 \] Range \(|y|<x^2\) in the map is shaded. The [[unco...) | ||||
15 January 2026
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21:32 | File:Ausintay40t50.jpg 2 changes history +1,489 [T (2×)] | |||
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21:32 (cur | prev) +3 T talk contribs Far East Journal of Mathematical Sciences | |||
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20:48 (cur | prev) +1,486 T talk contribs $ -> \( ; description ; refs ; pre ; keywords | ||||
| 19:11 | File:Oglavleni.png diffhist +914 T talk contribs add refs | ||||
