On an extremal problem of Selberg II |
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Authors: | Jyoichi Kaneko |
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Institution: | aDepartment of Mathematical Sciences, University of the Ryukyus, Nishihara, Okinawa 903-0213, Japan |
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Abstract: | Let mp be the minimum of the product under the conditions that and . In our previous paper J. Kaneko, On an extremal problem of Selberg, J. Approx. Theory 142 (2006) 129–137], we showed that the following estimates hold. provided p255. In this note, we prove that the limit of as p→∞ exists and is expressed by the (unique) solution of some simultaneous transcendental equations. By using this expression we obtain numerically. |
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Keywords: | Extremal problem Euler– Maclaurin summation formula Jacobi polynomial |
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