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 Ï11 summations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
The Dixon-Anderson integral is a multi-dimensional integral evaluation fundamental to the theory of the Selberg integral. The Ï11 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 Ï11 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
Journal: Journal of Mathematical Analysis and Applications - Volume 423, Issue 2, 15 March 2015, Pages 1704-1737
نویسندگان
Masahiko Ito, Peter J. Forrester,