Some Hermite Base Polynomials on q-Umbral Algebra

被引:2
|
作者
Dere, Rahime [1 ]
机构
[1] Akdeniz Univ, Fac Sci, Dept Math, TR-07058 Antalya, Turkey
关键词
Appell sequences; Bernoulli polynomials of higher order; Hermite polynomials of higher order; Umbral algebra; Umbral calculus; CALCULUS; BERNOULLI;
D O I
10.2298/FIL1604961D
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to investigate the q-Hermite type polynomials by using umbral calculus methods. Using this method, we derive new type polynomials which are related to the q-Bernoulli polynomials and the q-Hermite type polynomials. Furthermore, we also derive some new identities of those polynomials which are derived from q-umbral calculus.
引用
收藏
页码:961 / 967
页数:7
相关论文
共 50 条
  • [41] SOME IDENTITIES OF POLYNOMIALS ARISING FROM UMBRAL CALCULUS
    Kim, Dae San
    Kim, Taekyun
    Rim, Seog-Hoon
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (02) : 293 - 306
  • [42] Identities involving 3-variable Hermite polynomials arising from umbral method
    Raza, Nusrat
    Zainab, Umme
    Araci, Serkan
    Esi, Ayhan
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [43] Identities involving 3-variable Hermite polynomials arising from umbral method
    Nusrat Raza
    Umme Zainab
    Serkan Araci
    Ayhan Esi
    [J]. Advances in Difference Equations, 2020
  • [44] Identities for Hermite Base Combinatorial Polynomials and Numbers
    Yuluklu, Eda
    [J]. INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019, 2020, 2293
  • [45] Approach of the continuous q-Hermite polynomials to x-representation of q-oscillator algebra and its coherent states
    Fakhri, H.
    Gharalari, S. E. Mousavi
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (02)
  • [46] A curious q-analogue of Hermite polynomials
    Cigler, Johann
    Zeng, Jiang
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2011, 118 (01) : 9 - 26
  • [47] On the Discrete q-Hermite Matrix Polynomials
    Salem A.
    [J]. International Journal of Applied and Computational Mathematics, 2017, 3 (4) : 3147 - 3158
  • [48] On some properties of generalized hermite polynomials
    Djordjevic, G
    [J]. FIBONACCI QUARTERLY, 1996, 34 (01): : 2 - 6
  • [49] SOME GENERALIZED FIBONACCI AND HERMITE POLYNOMIALS
    Shannon, A. G.
    Deveci, Omur
    [J]. JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2018, 40 (04): : 419 - 427
  • [50] SOME REMARKS ON HERMITE-POLYNOMIALS
    VISKOV, OV
    [J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 1991, 36 (03) : 633 - 637