A NEW APPROACH TO THE GENERALIZED TRACE FORMULA AND ASYMPTOTICS OF TURÁN’S DETERMINANT FOR POLYNOMIALS WITH ASYMPTOTICALLY N-PERIODIC RECURRENCE COEFFICIENTS
نویسندگان
چکیده
A class of orthonormal polynomials with asymptotically N -periodic recurrence coefficients (APN class) is studied. These have an essential spectral measure supported on at most disjoint intervals. By the same approach, for APN, following two problems are solved: to extend trace formula and find asymptotics Turán’s determinant orthogonal several
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2022
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-022-06024-2