کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418041 1339319 2015 34 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The q-Dixon-Anderson integral and multi-dimensional ψ11 summations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The q-Dixon-Anderson integral and multi-dimensional ψ11 summations
چکیده انگلیسی

The Dixon-Anderson integral is a multi-dimensional integral evaluation fundamental to the theory of the Selberg integral. The ψ11 summation is a bilateral generalization of the q-binomial theorem. It is shown that a q-generalization of the Dixon-Anderson integral, due to Evans, and multi-dimensional generalizations of the ψ11 summation, due to Milne and Gustafson, can be viewed as having a common origin in the theory of q-difference equations as expounded by Aomoto. Each is shown to be determined by a q-difference equation of rank 1, and a certain asymptotic behavior. In calculating the latter, essential use is made of the concepts of truncation, regularization and connection formulae.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 423, Issue 2, 15 March 2015, Pages 1704-1737
نویسندگان
, ,