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Chebyshev polynomials corresponding to a semi-infinite interval and an exponential weight factor

Chebyshev polynomials corresponding to a semi-infinite interval and an exponential weight factor

An algorithm is presented for the computation of the <italic>n</italic> zeros of the polynomial <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="q Subscript n"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>q</mml:mi> <mml:mi>n</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{q_n}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> having the property that <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="q Subscript n Baseline left-parenthesis t right-parenthesis exp …