Some properties of Hermite-based Sheffer polynomials

被引：16
|
作者：
Khan, Subuhi [1 ]
Al-Saad, Mustafa Walid [1 ]
Yasmin, Ghazala [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 05期
关键词：
Monomiality principle; Hermite polynomials; Sheffer polynomials; Hermite-Sheffer polynomials; GENERALIZED POLYNOMIALS; OPERATIONAL IDENTITIES; MONOMIALITY PRINCIPLE;
D O I：
10.1016/j.amc.2010.07.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the concepts and the formalism associated with monomiality principle and Sheffer sequences are used to introduce family of Hermite-based Sheffer polynomials. Some properties of Hermite-Sheffer polynomials are considered. Further, an operational formalism providing a correspondence between Sheffer and Hermite-Sheffer polynomials is developed. Furthermore, this correspondence is used to derive several new identities and results for members of Hermite-Sheffer family. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：2169 / 2183
页数：15
相关论文
共 50 条
  • [1] Hermite-based Appell polynomials: Properties and applications
    Khan, Subuhi
    Yasmin, Ghazala
    Khan, Rehana
    Hassan, Nader Ali Makboul
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 351 (02) : 756 - 764
  • [2] Some Families of Differential Equations Associated with the Hermite-Based Appell Polynomials and Other Classes of Hermite-Based Polynomials
    Srivastava, H. M.
    Ozarslan, M. A.
    Yilmaz, Banu
    FILOMAT, 2014, 28 (04) : 695 - 708
  • [3] Some Properties of the Generalized Apostol Type Hermite-Based Polynomials
    Khan, Waseem Ahmad
    KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (03): : 597 - 614
  • [4] A Note on Hermite-based Truncated Euler Polynomials
    Khan, Waseem A.
    Srivastava, Divesh
    Ali, Rifaqat
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41
  • [5] A new class of the generalized Hermite-based polynomials
    Ghayasuddin, Mohd
    ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS, 2023, 43 (03): : 201 - 208
  • [6] Determinantal Approach to Hermite-Sheffer Polynomials
    Khan, Subuhi
    Riyasat, Mumtaz
    PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON COMPUTER AND COMMUNICATION TECHNOLOGIES, IC3T 2015, VOL 2, 2016, 380 : 525 - 534
  • [7] A New Class of Hermite-Based Higher Order Central Fubini Polynomials
    Khan W.A.
    Sharma S.K.
    International Journal of Applied and Computational Mathematics, 2020, 6 (3)
  • [8] Some Properties of Laguerre-Based Hermite-Bernoulli Polynomials
    Ghayasuddin, Mohd
    Khan, Nabiullah
    Khan, Waseem A.
    Srivastava, Divesh
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2021, 45 (03) : 329 - 340
  • [9] Certain properties of the Laguerre-Sheffer polynomials
    Khan, Subuhi
    Nahid, Tabinda
    JOURNAL OF ANALYSIS, 2022, 30 (01) : 245 - 269
  • [10] Identities and relations involving the modified degenerate hermite-based Apostol–Bernoulli and Apostol–Euler polynomials
    H. M. Srivastava
    Burak Kurt
    Veli Kurt
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 1299 - 1313
12345