• Title/Summary/Keyword: Generating Functions

Search Result 438, Processing Time 0.024 seconds

On the partition of unipotent radicals of parabolic subgroups in chevalley groups

  • Kwon, Sae-Ran
    • Communications of the Korean Mathematical Society
    • /
    • v.11 no.3
    • /
    • pp.633-641
    • /
    • 1996
  • Let $P_J$ be a standard parabolic subgroup of a Chevalley group G and $U_J$ the unipotent radical of $P_J$. In this paper, we find a certain partition of the set of roots corresponding to root subgroups generating $U_J$ and investigate some properties of the partition.

  • PDF

DIFFERENTIAL EQUATIONS CONTAINING 2-VARIABLE MIXED-TYPE HERMITE POLYNOMIALS

  • J.Y. KANG
    • Journal of applied mathematics & informatics
    • /
    • v.41 no.3
    • /
    • pp.687-696
    • /
    • 2023
  • In this paper, we introduce the 2-variable mixed-type Hermite polynomials and organize some new symmetric identities for these polynomials. We find induced differential equations to give explicit identities of these polynomials from the generating functions of 2-variable mixed-type Hermite polynomials.

EXPLICIT IDENTITIES INVOLVING GEOMETRIC POLYNOMIALS ARISING FROM DIFFERENTIAL EQUATIONS AND THEIR ZEROS

  • KANG, J.Y.;RYOO, C.S.
    • Journal of applied mathematics & informatics
    • /
    • v.40 no.3_4
    • /
    • pp.461-473
    • /
    • 2022
  • In this paper, we study differential equations arising from the generating functions of the geometric polynomials. We give explicit identities for the geometric polynomials. Finally, we investigate the zeros of the geometric polynomials by using computer.