Basic hypergeometric series
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Formulae expressing explicitly the q-difference derivatives and the moments of the polynomials Pn(x ; q) ∈ T (T ={Pn(x ; q) ∈ Askey–Wilson polynomials: Al-Salam-Carlitz I, Discrete q-Hermite I, Little (Big) q-Laguerre, Little (Big) q-Jacobi, q-Hahn, Alternative q-Charlier) of any degree and for any order in terms of Pi(x ; q) themselves are proved. We will also provide two other interesting formulae to expand the coefficients of general-order q-difference derivatives Dp q f (x), and for the moments xDp q f (x), of an arbitrary function f(x) in terms of its original expansion coefficients.
15p kethamoi1 20-11-2019 14 0 Download
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By means of the modified Abel lemma on summation by parts, we examine a class of terminating balanced q-series. Two transformation formulae are established that contain ten summation formulae as consequences.
8p nutifooddau 21-01-2019 11 1 Download
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article On Convergence of q-Series Involving r 1 φr Basic Hypergeometric Series
9p sting09 22-02-2012 40 2 Download
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Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí toán học quốc tế đề tài: Inversion of bilateral basic hypergeometric series
27p lame_266 12-09-2011 35 3 Download