...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 7 | Year 2019 | Article Id. IJMTT-V65I7P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I7P503

Some Eulerian Polynomials of Higher Order


Jahangeer Habibullah Ganai , Anjna Singh
Abstract

In the current paper we will derive identities of Eulerian polynomials of higher order from non linear ordinary differential equations. We will show that the generating functions of Eulerian polynomials are the solutions of our non linear ordinary differential equations.

Keywords
Eulerian numbers, polynomials.
References

[1] J. Choi, T. Kim, Y. H. Kim, A note on the q-analogue of Euler numbers and polynomials, Honam Math. J. 33 (2011), no. 4, 529-534.
[2] J. Choi, T. Kim, Y. H. Kim, B. Lee, On the (w, q)-Euler numbers and polynomials with weight α, Proc. Jongjeon Math. Soc. 15 (2012), no. 1, 91-100.
[3] J. Choi, D. S. Kim, T. Kim, Y. H. Kim, A note on some identities of Frobenius, Euler numbers and polynomials, Int. J. of Math. and Math. Sci., Article ID 861797 (2012), 9 pages.
[4] L. Carlitz, Eulerian numbers and polynomials, Math. Mag. 23 (1959), 247-260.
[5] L. Carlitz, The product of two Eulerian polynomials, Math. Mag. 36 (1963), 37-41.
[6] T. Kim, Identities involving Frobenius-Euler polynomials arising from non- linear differential equations, J. of Number Theory 132 (2012), 2854-2865.
[7] T. Kim, J. Choi, A note on the product of Frobenius-Euler polynomials arising from the p-adic integral on Zp, Adv. Studies Contemp. Math. 22 (2012), no. 2, 215-223.

Citation :

Jahangeer Habibullah Ganai , Anjna Singh, "Some Eulerian Polynomials of Higher Order," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 7, pp. 15-18, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I7P503

  • PDF
  • Abstract
  • Keywords
  • References
  • Citation
Abstract Keywords References Citation
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved