کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8900548 | 1631612 | 2017 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Homogeneous q-partial difference equations and some applications
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we show how to prove identities and evaluate integrals by expanding functions in terms of products of the q-hypergeometric polynomials by homogeneous q-partial difference equations, we also generalize some results of Liu (2015) [34] and Cao (2016) [14]. In addition, we generalize multilinear and multiple generating functions for the q-hypergeometric polynomials as applications. Moreover, we deduce some recurring formulas for Ramanujan's integrals, Askey-Roy integrals, Andrews-Askey integrals and moment integrals by the method of homogeneous q-partial difference equations. Finally, we build the relation of Ismail-Zhang type generating functions for the q-hypergeometric polynomials by the method of Ismail and Zhang (2016) [26].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Applied Mathematics - Volume 84, March 2017, Pages 47-72
Journal: Advances in Applied Mathematics - Volume 84, March 2017, Pages 47-72
نویسندگان
Jian Cao,