Generalized Tricomi and Hermite-Tricomi functions

被引：3
|
作者：
Lu, Da-Qian [1 ,2 ]
机构：
[1] Yangzhou Univ, Dept Math, Yangzhou 225002, Peoples R China
[2] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 09期
关键词：
Laguerre-type exponentials; Generating functions; Generalized Tricomi and Hermite-Tricomi functions; POLYNOMIALS;
D O I：
10.1016/j.amc.2011.10.074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
General classes of Tricomi and Hermite-Tricomi functions are introduced by exploiting properties of an iterated isomorphism, related to the so-called Laguerre-type exponentials, and we mainly consider the properties of the general classes of 3-variable 2-index Tricomi functions and 2-index 4-variable 1-parameter Hermite-Tricomi functions. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：5090 / 5098
页数：9
相关论文
共 50 条
  • [21] CERTAIN GENERATING FUNCTIONS OF HERMITE-BERNOULLI-LEGENDRE POLYNOMIALS
    Khan, N. U.
    Usman, T.
    UFA MATHEMATICAL JOURNAL, 2018, 10 (02): : 118 - 126
  • [22] A Note on the Rate of Convergence of Poles of Generalized Hermite-Pade Approximants
    Bosuwan, Nattapong
    THAI JOURNAL OF MATHEMATICS, 2020, : 25 - 37
  • [23] SUMMATION FORMULA FOR GENERALIZED DISCRETE q-HERMITE II POLYNOMIALS
    Arjika, Sama
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 11 (01): : 44 - 54
  • [24] ON THE GENERATING FUNCTIONS OF THE NEWLY DEFINED GENERALIZED HYPERGEOMETRIC FUNCTIONS
    Ata, E.
    Kiymaz, I. O.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2024, 14 (01): : 64 - 78
  • [25] Hermite-Pade approximants for meromorphic functions on a compact Riemann surface
    Komlov, A. V.
    Palvelev, R. V.
    Suetin, S. P.
    Chirka, E. M.
    RUSSIAN MATHEMATICAL SURVEYS, 2017, 72 (04) : 671 - 706
  • [26] A Note on Generating Functions Involving the Generalized Gauss Hypergeometric Functions
    P. Agarwal
    M. Chand
    S. D. Purohit
    National Academy Science Letters, 2014, 37 : 457 - 459
  • [27] A Note on Generating Functions Involving the Generalized Gauss Hypergeometric Functions
    Agarwal, P.
    Chand, M.
    Purohit, S. D.
    NATIONAL ACADEMY SCIENCE LETTERS-INDIA, 2014, 37 (05): : 457 - 459
  • [28] Generalized matrix functions and Hermitian matrices
    Jafari, Mohammad Hossein
    Madadi, Ali Reza
    RICERCHE DI MATEMATICA, 2024,
  • [29] Mathematical properties of generalized Sturmian functions
    Ambrosio, M. J.
    Del Punta, J. A.
    Rodriguez, K. V.
    Gasaneo, G.
    Ancarani, L. U.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (01)
  • [30] Generating functions and generalized Euler numbers
    Liu, Guodong
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2008, 84 (02) : 29 - 34
12345