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On the preceding paper “A Legendre polynomial integral” by James L. Blue

On the preceding paper “A Legendre polynomial integral” by James L. Blue

The modified moments of the distribution <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="d sigma left-parenthesis x right-parenthesis equals x Superscript alpha Baseline ln left-parenthesis 1 slash x right-parenthesis d x"> <mml:semantics> <mml:mrow> <mml:mi>d</mml:mi> <mml:mi>σ<!-- σ --></mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy="false">)</mml:mo> <mml:mo>=</mml:mo> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>x</mml:mi> <mml:mi>α<!-- α --></mml:mi> </mml:msup> </mml:mrow> <mml:mi>ln</mml:mi> …