On the properties of special functions on the linear-type lattices

被引：5
|
作者：
Alvarez-Nodarse, R. [1 ,2 ]
Cardoso, J. L. [3 ,4 ]
机构：
[1] Univ Seville, Fac Matemat, IMUS, E-41080 Seville, Spain
[2] Univ Seville, Fac Matemat, Dept Anal Matemat, E-41080 Seville, Spain
[3] Univ Tros Os Montes & Alto Douro, CM UTAD, P-5001911 Vila Real, Portugal
[4] Univ Tros Os Montes & Alto Douro, Dept Matemat, P-5001911 Vila Real, Portugal
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 405卷 / 01期
关键词：
q-hypergeometric functions; Difference equations; Recurrence relations; q-polynomials;
D O I：
10.1016/j.jmaa.2013.03.058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a general theory for studying the difference analogs of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear difference equation of hypergeometric type on a special kind of lattices: the linear type lattices. In particular, using the integral representation of the solutions we obtain several difference-recurrence relations for such functions. Finally, applications to q-classical polynomials are given. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：271 / 285
页数：15
相关论文
共 50 条
  • [1] Hyperbolic polynomials and linear-type generating functions
    Forgacs, Tamas
    Khang Tran
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 488 (02)
  • [2] Performance of Linear-Type Mobile Data Transmission
    Chuang, Chen-Yuan
    Lin, Yi-Bing
    Yeh, Yu-Tien
    [J]. IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, 2011, 10 (08) : 2451 - 2455
  • [3] COMPARABLE TESTS ON LINEAR-TYPE AND CARBON-TYPE MICROPHONES
    BRYANT, HW
    [J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1973, 53 (03): : 695 - 698
  • [4] Experimental analyses of linear-type aerospike nozzles with sidewalls
    Mori, H
    Niimi, T
    Taniguchi, M
    Nishihira, R
    Fukushima, A
    [J]. ICIASF '05 Record: 21st International Congress on Instrumentation in Aerospace Simulation Facilities, 2005, : 145 - 149
  • [5] A virtual training system for linear-type Endoscopic Ultrasonography
    Hacker, S
    Tiede, U
    Burmester, E
    Leineweber, T
    Höhne, KH
    [J]. CARS 2002: COMPUTER ASSISTED RADIOLOGY AND SURGERY, PROCEEDINGS, 2002, : 394 - 398
  • [6] Analysis of higher order linear-type ILC schemes
    不详
    [J]. LINEAR AND NONLINEAR ITERATIVE LEARNING CONTROL, 2003, 291 : 39 - 52
  • [7] MONOTONE FUNCTIONS ON LINEAR LATTICES
    ELLIS, HW
    NAKANO, H
    [J]. CANADIAN JOURNAL OF MATHEMATICS, 1963, 15 (02): : 226 - &
  • [8] Linear-Type Orbital Floor Fracture With or Without Muscle Involvement
    Yano, Hiroki
    Suzuki, Yuichi
    Yoshimoto, Hiroshi
    Mimasu, Ritsuko
    Hirano, Akiyoshi
    [J]. JOURNAL OF CRANIOFACIAL SURGERY, 2010, 21 (04) : 1072 - 1078
  • [9] ALGEBRABILITY, NON-LINEAR PROPERTIES, AND SPECIAL FUNCTIONS
    Bartoszewicz, Artur
    Glab, Szymon
    Pellegrino, Daniel
    Seoane-Sepulveda, Juan B.
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (10) : 3391 - 3402
  • [10] ON THE LINEAR-TYPE PROPERTY OF THE JACOBIAN IDEAL OF AFFINE PLANE CURVES
    Nejad, Abbas Nasrollah
    Solhi, Parisa
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2024, 54 (03) : 843 - 853
12345