Some Properties of the Bell-Based Apostol-Frobenius-Type Tangent Polynomials

Authors

  • Jay Ontolan Mathematics Department, Cebu Normal University, Cebu City, 6000, Philippines
  • Jeneveb Malusay Mathematics Department, Cebu Normal University, Cebu City, 6000, Philippines
  • Edward Kiunisala Mathematics Department, Cebu Normal University, Cebu City, 6000, Philippines
  • Joris Buloron Mathematics Department, Cebu Normal University, Cebu City, 6000, Philippines

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i1.5559

Keywords:

Tangent polynomials, Bell polynomials, Apostol-Frobenius- Type poly-Tangent polynomials, Bell-based Apostol-Frobenius-Type poly-Tangent polynomials, Stirling numbers, l-based Apostol-Frobenius-Type poly-Tangent polynomials, Stirling numbers, A

Abstract

In this paper, we introduce a new class of Frobenius-Tangent polynomials, derived from the Bell numbers and Apostol-type functions. We conduct a detailed investigation into the properties of these polynomials, utilizing various analytical techniques. By employing generating functions for Bell-based Apostol-Frobenius-Type Tangent polynomials of higher order, we obtain both explicit and implicit summation formulas and its relation to Appell polynomials.

Downloads

Published

2025-02-01

Issue

Vol. 18 No. 1: (January 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Jay Ontolan, Jeneveb Malusay, Edward Kiunisala, Joris Buloron

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Some Properties of the Bell-Based Apostol-Frobenius-Type Tangent Polynomials. (2025). European Journal of Pure and Applied Mathematics, 18(1), 5559. https://doi.org/10.29020/nybg.ejpam.v18i1.5559