• Title/Summary/Keyword: Q-poly-Bernoulli polynomials of the first type

Search Result 4, Processing Time 0.016 seconds

IDENTITIES INVOLVING q-ANALOGUE OF MODIFIED TANGENT POLYNOMIALS

  • JUNG, N.S.;RYOO, C.S.
    • Journal of applied mathematics & informatics
    • /
    • v.39 no.5_6
    • /
    • pp.643-654
    • /
    • 2021
  • In this paper, we define a modified q-poly-Bernoulli polynomials of the first type and modified q-poly-tangent polynomials of the first type by using q-polylogarithm function. We derive some identities of the modified polynomials with Gaussian binomial coefficients. We also explore several relations that are connected with the q-analogue of Stirling numbers of the second kind.

UNIFIED APOSTOL-KOROBOV TYPE POLYNOMIALS AND RELATED POLYNOMIALS

  • Kurt, Burak
    • Bulletin of the Korean Mathematical Society
    • /
    • v.58 no.2
    • /
    • pp.315-326
    • /
    • 2021
  • Korobov type polynomials are introduced and extensively investigated many mathematicians ([1, 8-10, 12-14]). In this work, we define unified Apostol Korobov type polynomials and give some recurrences relations for these polynomials. Further, we consider the q-poly Korobov polynomials and the q-poly-Korobov type Changhee polynomials. We give some explicit relations and identities above mentioned functions.

ON THE (p, q)-POLY-KOROBOV POLYNOMIALS AND RELATED POLYNOMIALS

  • KURT, BURAK;KURT, VELI
    • Journal of applied mathematics & informatics
    • /
    • v.39 no.1_2
    • /
    • pp.45-56
    • /
    • 2021
  • D.S. Kim et al. [9] considered some identities and relations for Korobov type numbers and polynomials. In this work, we investigate the degenerate Korobov type Changhee polynomials and the (p,q)-poly-Korobov polynomials. We give a generalization of the Korobov type Changhee polynomials and the (p,q) poly-Korobov polynomials. We prove some properties and identities and explicit relations for these polynomials.

ON FULLY MODIFIED q-POLY-EULER NUMBERS AND POLYNOMIALS

  • C.S. RYOO
    • Journal of Applied and Pure Mathematics
    • /
    • v.6 no.1_2
    • /
    • pp.1-11
    • /
    • 2024
  • In this paper, we define a new fully modified q-poly-Euler numbers and polynomials of the first type by using q-polylogarithm function. We derive some identities of the modified polynomials with Gaussian binomial coefficients. We also explore several relations that are connected with the q-analogue of Stirling numbers of the second kind.