INTEGRAL AND DISCRETE REPRESENTATIONS OF SOME Hq-SEMICLASSICAL FORMS

被引：0
|
作者：
Mejri, Manoubi [1 ]
机构：
[1] Univ Tunis El Manar, Inst Preparatoire Etud Ingn El Manar, Campus Univ El Manar,BP 244 El Manar 2, Tunis 2092, Tunisia
来源：
QUAESTIONES MATHEMATICAE | 2016年 / 39卷 / 03期
关键词：
q-difference operator; H-q-semi-classical polynomials; integral representation; q-difference equations; q-series representations;
D O I：
10.2989/16073606.2015.1072854
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to deduce integral and discrete representations of some H-q-semielnssical forms of class one. These forms were studied by B. Rouras and F. Marcellan in [1], (Quadratic decomposition of a family of H-q-semiclassical orthogonal polynomial sequences, J. Difference Equ. Appl. 18 (2012), 2039-2057), but unfortunately, the above problem of representation remained opened in that work. In this paper, we find the moments investigate the of theses forms to solve this problem.
引用
收藏
页码：341 / 350
页数：10
相关论文
共 50 条
  • [11] On integral representations of linear forms
    Tsertos Y.
    Rendiconti del Circolo Matematico di Palermo, 1997, 46 (2) : 309 - 316
  • [12] Extensions of representations of integral quadratic forms
    Wai Kiu Chan
    Byeong Moon Kim
    Myung-Hwan Kim
    Byeong-Kweon Oh
    The Ramanujan Journal, 2008, 17 : 145 - 153
  • [13] INTEGRAL REPRESENTATIONS OF COMPLEX LINEAR FORMS
    HIRSBERG, B
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1972, 274 (16): : 1222 - &
  • [14] Extensions of representations of integral quadratic forms
    Chan, Wai Kiu
    Kim, Byeong Moon
    Kim, Myung-Hwan
    Oh, Byeong-Kweon
    RAMANUJAN JOURNAL, 2008, 17 (01): : 145 - 153
  • [15] INTEGRAL REPRESENTATIONS OF QUADRACTIC FORMS IN CHARACTERISTIC .2
    RIEHM, CR
    AMERICAN JOURNAL OF MATHEMATICS, 1965, 87 (01) : 32 - &
  • [16] Representations of integral quadratic forms by sums of squares
    Myung-Hwan Kim
    Byeong-Kweon Oh
    Mathematische Zeitschrift, 2005, 250 : 427 - 442
  • [17] Integral Representations and Volume Forms on Hirzebruch Surfaces
    Kytmanov, Alexey A.
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2008, 1 (02): : 125 - 132
  • [18] Representations of integral quadratic forms by sums of squares
    Kim, MH
    Oh, BK
    MATHEMATISCHE ZEITSCHRIFT, 2005, 250 (02) : 427 - 442
  • [19] Multiplicative factorizations of integral representations by quadratic forms
    F. A. Andrianov
    Journal of Mathematical Sciences, 1997, 83 (6) : 694 - 719
  • [20] Small representations of integers by integral quadratic forms
    Chan, Wai Kiu
    Fukshansky, Lenny
    JOURNAL OF NUMBER THEORY, 2019, 201 : 40 - 52
12345