Various Properties of Convoluted Special Polynomials Associated with Bell Polynomials and Their Algebraic Characteristics

Authors

  • Sarah Aljohani Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia. Email: [email protected]
  • Shahid Ahmad Wani Symbiosis International University
  • Prakash Jadhav Department of Mechanical Engineering, SRM University AP, Andhra Pradesh 522240,~Email:[email protected]

DOI:

https://doi.org/10.29020/nybg.ejpam.v19i1.7203

Keywords:

Hybrid special polynomials, Monomiality principle, Determinant representation, explicit forms, Summation Formulae, Operational rule

Abstract

This paper uses generating functions to present Bell polynomials of two variables associated with Appell sequences. We investigate their diverse properties, including explicit representations, summation formulae, recurrence relations, and addition formulas. Furthermore, we introduce the second kind's Bell-Appell-based Stirling polynomials in two variables and outline their associated findings. This research enhances comprehension regarding the attributes and utility of Bell-Appell and Bell-Appell based Stirling polynomials in mathematical analysis. Further, determinant representation, operational identity and other characteristics are derived.

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Published

2026-02-16

Issue

Vol. 19 No. 1: (January 2026)

Section

Mathematical Physics

License

Copyright (c) 2026 Sarah Aljohani, Shahid Ahmad Wani, Prakash Jadhav

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How to Cite

Various Properties of Convoluted Special Polynomials Associated with Bell Polynomials and Their Algebraic Characteristics. (2026). European Journal of Pure and Applied Mathematics, 19(1), 7203. https://doi.org/10.29020/nybg.ejpam.v19i1.7203