کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8897871 1631047 2018 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Hurwitz-type theorem for the regular Coulomb wave function via Hankel determinants
ترجمه فارسی عنوان
قضیه نوع تورویتز برای عملکرد موج کولمب منظم از طریق تعیین کننده های هانکل
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
We derive a closed formula for the determinant of the Hankel matrix whose entries are given by sums of negative powers of the zeros of the regular Coulomb wave function. This new identity applied together with results of Grommer and Chebotarev allows us to prove a Hurwitz-type theorem about the zeros of the regular Coulomb wave function. As a particular case, we obtain a new proof of the classical Hurwitz's theorem from the theory of Bessel functions that is based on algebraic arguments. In addition, several Hankel determinants with entries given by the Rayleigh function and Bernoulli numbers are also evaluated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 548, 1 July 2018, Pages 259-272
نویسندگان
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