![](images/graphics/blank.gif)
Hypergeometric series
-
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
-
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
-
In the present paper, we introduce a new sequence of linear positive operators with the help of generating functions. We obtain some Korovkin type approximation properties for these operators and compute rates of convergence by means of the first and second order modulus of continuities and Peetre’s K-functional.
13p
danhdanh27
07-01-2019
26
1
Download
-
By means of the hypergeometric series approach, we present a new proof of Sun’s conjecture on trigonometric series, which is simpler than the original one due to Sun and Meng. Several further infinite series identities are shown as examples.
7p
danhdanh27
08-01-2019
26
2
Download
-
This is the fifth book of examples from the Theory of Probability. This topic is not my favourite, however, thanks to my former colleague, Ole Jørsboe, I somehow managed to get an idea of what it is all about. The way I have treated the topic will often diverge from the more professional treatment. On the other hand, it will probably also be closer to the way of thinking which is more common among many readers, because I also had to start from scratch. The prerequisites for the topics can e.g. be found in the Ventus: Calculus 2 series, so I shall refer the reader to...
72p
sn_buon
29-11-2012
62
5
Download
-
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
-
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
-
Tuyển tập các báo cáo nghiên cứu khoa học hay nhất của tạp chí toán học quốc tế đề tài: học: HYPERGEOMETRIC SERIES ACCELERATION VIA THE WZ METHOD....
4p
thulanh4
11-09-2011
36
1
Download
CHỦ ĐỀ BẠN MUỐN TÌM
![](images/graphics/blank.gif)