Special Functions
https://www.maa.org/taxonomy/term/41681/all
enOn Characterizations of the Gamma Function
https://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/on-characterizations-of-the-gamma-function
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>Two properties of the gamma function \(\Gamma (x)\) are \(\Gamma (x) > 0\) and \(\Gamma (x+1) = x \Gamma (x)\) with \(\Gamma (1) = 1\). These properties do not characterize the function, but this can be achieved with the further condition that \(\log(\Gamma x))\) is convex.</em></p>
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Fri, 12 Jul 2013 15:03:25 +0000
newton_admin95372 at https://www.maa.orgThe Harmonic Triangle and the Beta Function
https://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/the-harmonic-triangle-and-the-beta-function
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>The Harmonic Triangle is the difference table of the harmonic sequence. This note shows that the entries of the Harmonic Triangle are values of the beta function, and uses that result to find the row sums and the column sums for this triangle. </em></p>
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Fri, 12 Jul 2013 15:03:25 +0000
newton_admin95471 at https://www.maa.orgMIT OpenCourseware: 18.03 Differential Equations
https://www.maa.org/programs/faculty-and-departments/course-communities/mit-opencourseware-1803-differential-equations
Fri, 12 Jul 2013 15:06:16 +0000
newton_admin114887 at https://www.maa.org