The numerical evaluation of two integral transforms

被引：2
|
作者：
Monegato, Giovanni [1 ]
Strozzi, Antonio [2 ]
机构：
[1] Politecn Torino, Dipartimento Matemat, Turin, Italy
[2] Univ Modena, I-41100 Modena, Italy
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 211卷 / 02期
关键词：
recurrence relations; integral transforms; Chebyshev polynomials;
D O I：
10.1016/j.cam.2006.11.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive recurrence relationships for the evaluation of two integral transforms which are of interest for the numerical solution of some integral equations and for the construction of certain quadrature rules. (C) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：173 / 180
页数：8
相关论文
共 50 条
  • [31] THE UNIFIED INTEGRAL TRANSFORMS (UNIT) ALGORITHM WITH TOTAL AND PARTIAL TRANSFORMATION
    Cotta, Renato M.
    Knupp, Diego C.
    Naveira-Cotta, Carolina P.
    Sphaier, Leandro A.
    Quaresma, Joao N. N.
    COMPUTATIONAL THERMAL SCIENCES, 2014, 6 (06): : 507 - 524
  • [32] Positive definite functions on products of metric spaces by integral transforms
    Franca, W.
    Menegatto, V. A.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 514 (01)
  • [33] On new families of integral transforms for the solution of partial differential equations
    Dattoli, G
    Martinelli, MR
    Ricci, PE
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2005, 16 (08) : 661 - 667
  • [34] Integral transforms and probability distributions involving a generalized hypergeometric function
    Khan, Nabiullah
    Usman, Talha
    Aman, Mohd
    Al-Omari, Shrideh
    Choi, Junesang
    GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (06) : 883 - 894
  • [35] Complexity estimates based on integral transforms induced by computational units
    Kurkova, Vera
    NEURAL NETWORKS, 2012, 33 : 160 - 167
  • [36] Unifying discrete and integral transforms through the use of a Banach algebra
    Futcher, Thomas
    Rodrigo, Marianito R.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2022, 33 (12) : 992 - 1011
  • [37] Certain Integral Transforms of Generalized k-Bessel Function
    Kottakkaran Sooppy Nisar
    Waseem Ahmad Khan
    Mohd Ghayasuddin
    AnalysisinTheoryandApplications, 2018, 34 (02) : 165 - 174
  • [38] Integral transforms involving a generalized k-Bessel function
    Khammash, Ghazi S.
    Salim, Tariq O.
    Aydi, Hassen
    Khattab, Noor N.
    Park, Choonkil
    DEMONSTRATIO MATHEMATICA, 2023, 56 (01)
  • [39] Water waves diffraction by a submerged sphere and dual integral transforms
    Dorfmann, AA
    Savvin, AA
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 91 (01) : 1 - 30
  • [40] NORMALIZED WRIGHT FUNCTIONS WITH NEGATIVE COEFFICIENTS AND SOME OF THEIR INTEGRAL TRANSFORMS
    Mustafa, N.
    Altintas, O.
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 9 (02): : 190 - 206
12345