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
  • [41] Recurrence relations for Hermite-Pad, approximants for a system of four functions of Markov and stieltjes type
    Khristoforov, D. V.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2011, 272 : S142 - S151
  • [42] Generalized Incomplete Pochhammer Symbols and Their Applications to Hypergeometric Functions
    Sahai, Vivek
    Verma, Ashish
    KYUNGPOOK MATHEMATICAL JOURNAL, 2018, 58 (01): : 67 - 79
  • [43] Generalized trace and modified dimension functions on ribbon categories
    Geer, Nathan
    Kujawa, Jonathan
    Patureau-Mirand, Bertrand
    SELECTA MATHEMATICA-NEW SERIES, 2011, 17 (02): : 453 - 504
  • [44] GENERALIZED AVERAGED GAUSSIAN FORMULAS FOR CERTAIN WEIGHT FUNCTIONS
    Mutavdzic, Rada M.
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2022, 46 (02): : 295 - 305
  • [45] Some Properties and Generating Functions of Generalized Harmonic Numbers
    Dattoli, Giuseppe
    Licciardi, Silvia
    Sabia, Elio
    Srivastava, Hari M.
    MATHEMATICS, 2019, 7 (07)
  • [46] GENERALIZED DOUBLE BINOMIAL SUMS FAMILIES BY GENERATING FUNCTIONS
    Kilic, Emrah
    Belbachir, Hacene
    UTILITAS MATHEMATICA, 2017, 104 : 161 - 174
  • [47] Approximation Methods Preserving Cones of Generalized Convex Functions
    Boitsov, D. I.
    Sidorov, S. P.
    WORLD CONGRESS ON ENGINEERING, WCE 2015, VOL I, 2015, : 46 - 50
  • [48] Symmetric and generating functions of generalized (p,q)-numbers
    Saba, Nabiha
    Boussayoud, Ali
    Abderrezzak, Abdelhamid
    KUWAIT JOURNAL OF SCIENCE, 2021, 48 (04)
  • [49] Modular Macdonald functions and generalized Newton's identity
    Cai, Tommy Wuxing
    Jing, Naihuan
    Zhang, Jian
    JOURNAL OF ALGEBRA, 2015, 442 : 124 - 136
  • [50] On Generalized Sequence of Functions Bqn(α,β,γ,δ)(x; a; k; s)
    Ajudia, Naresh K.
    Prajapati, Jyotindra C.
    Mishra, Vishnu Narayan
    THAI JOURNAL OF MATHEMATICS, 2021, 19 (01): : 221 - 231
12345