Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Emrah Kılıç"'
Autor:
Emrah Kılıç
Publikováno v:
Arabian Journal of Mathematics, Vol 7, Iss 2, Pp 101-112 (2017)
Abstract We present three new sets of weighted partial sums of the Gaussian q-binomial coefficients. To prove the claimed results, we will use q-analysis, Rothe’s formula and a q-version of the celebrated algorithm of Zeilberger. Finally we give so
Externí odkaz:
https://doaj.org/article/f1ef4974071248ebbc5a81169df2fdb1
Autor:
Wenchang Chu, Emrah Kılıç
Publikováno v:
Mathematical Notes. 113:39-48
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7bf57b7b6c69f95151e79ba5049b2962
https://doi.org/10.1134/s0001434623010054
https://doi.org/10.1134/s0001434623010054
Autor:
Omojola Micheal, Emrah Kılıç
Publikováno v:
Special Matrices, Vol 9, Iss 1, Pp 321-330 (2021)
Symmetric matrix classes of bandwidth 2r + 1 was studied in 1972 through binomial coefficients. In this paper, non-symmetric matrix classes with the binomial coefficients are considered where r + s + 1 is the bandwidth, r is the lower bandwidth and s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20d9bca1c5673c61ca26c0ecf7596356
https://doi.org/10.1515/spma-2020-0142
https://doi.org/10.1515/spma-2020-0142
Publikováno v:
Filomat. 35:4017-4031
We define a new class of Sylvester-Kac matrices and calculate their spectra explicitly. We use the technique of the left eigenvectors to obtain the claim. We also provide some right eigenvectors which can be useful in applied computations. The main r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ed7d3d3f7829d77f0672140323616b7
https://doi.org/10.2298/fil2112017a
https://doi.org/10.2298/fil2112017a
Autor:
Wenchang Chu, Emrah Kılıç
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. 44:1691-1700
By means of matrix decompositions, three determinants with their entries being binomial sums are evaluated in closed forms. Ten remarkable examples are illustrated as propositions, which present determinant identities about binomial coefficients and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2270648e13dc4d5507ed0cda74db824
https://doi.org/10.1007/s40840-020-01005-7
https://doi.org/10.1007/s40840-020-01005-7
Autor:
Wenchang Chu, Emrah Kılıç
Publikováno v:
Applicable Analysis and Discrete Mathematics. 14:335-348
Cubic sums of the Gaussian q-binomial coefficients with certain weight functions will be evaluated in this paper. To realize this, we will derive two remarkable formulae by means of the Carlitz-Sears transformation on terminating well-poised q-series
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93d34b1644d7e2ddfa7e07051959b4f8
https://doi.org/10.2298/aadm190406016c
https://doi.org/10.2298/aadm190406016c
Autor:
Wenchang Chu, Emrah Kılıç
Publikováno v:
Rocky Mountain Journal of Mathematics. 51
Recently, various interesting binomial sums involving Catalan numbers have been derived and computed. Inspired from them, several binomial sums involving Catalan numbers are evaluated in closed forms using a hypergeometric series approach.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b4684193d26535f5e5ee825f15e3e42
https://doi.org/10.1216/rmj.2021.51.1221
https://doi.org/10.1216/rmj.2021.51.1221
Autor:
Emrah Kılıç, Talha Arikan
Publikováno v:
The Mathematical Gazette. 103:346-352
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe7e7510dbd3164db66bc366086e8dcc
https://doi.org/10.1017/mag.2019.73
https://doi.org/10.1017/mag.2019.73
Autor:
Emrah Kılıç, Helmut Prodinger
Publikováno v:
Mathematica Slovaca. 69:327-338
Sums of products of two Gaussian q-binomial coefficients, are investigated, one of which includes two additional parameters, with a parametric rational weight function. By means of partial fraction decomposition, first the main theorems are proved an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a3a0565693d8d1c42a7ae3848790fd9
https://doi.org/10.1515/ms-2017-0226
https://doi.org/10.1515/ms-2017-0226
Publikováno v:
Volume: 49, Issue: 2 684-694
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
In this paper, we present new analogues of the Filbert and Lilbert matrices via products of two k-tuples asymmetric entries consist of the Fibonacci and Lucas numbers. We shall derive explicit formulæ for their LU-decompositions and inverses. To pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::536e9e0a1b4c41e7dacb16d70b1c6670
https://hdl.handle.net/20.500.11851/3559
https://hdl.handle.net/20.500.11851/3559
