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A characterization of ๐ต-slowly varying functions

A characterization of ๐ต-slowly varying functions

A measurable function <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="phi greater-than 0"> <mml:semantics> <mml:mrow> <mml:mi>ฯ†<!-- ฯ† --></mml:mi> <mml:mo>&gt;</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">\varphi &gt; 0</mml:annotation> </mml:semantics> </mml:math> </inline-formula> that satisfies the limit condition <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="limit Underscript x right-arrow normal infinity Endscripts left-parenthesis phi left-parenthesis x plus t phi left-parenthesis x โ€ฆ