کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4621396 1339483 2008 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hardy-type theorem for orthogonal functions with respect to their zeros. The Jacobi weight case
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Hardy-type theorem for orthogonal functions with respect to their zeros. The Jacobi weight case
چکیده انگلیسی

Motivated by the G.H. Hardy's 1939 results [G.H. Hardy, Notes on special systems of orthogonal functions II: On functions orthogonal with respect to their own zeros, J. London Math. Soc. 14 (1939) 37–44] on functions orthogonal with respect to their real zeros λnλn, n=1,2,…, we will consider, under the same general conditions imposed by Hardy, functions satisfying an orthogonality with respect to their zeros with Jacobi weights on the interval (0,1)(0,1), that is, the functions f(z)=zνF(z)f(z)=zνF(z), ν∈Rν∈R, where F is entire and∫01f(λnt)f(λmt)tα(1−t)βdt=0,α>−1−2ν,β>−1, when n≠mn≠m. Considering all possible functions on this class we obtain a new family of generalized Bessel functions including Bessel and hyperbessel functions as special cases.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 341, Issue 2, 15 May 2008, Pages 803–812
نویسندگان
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