Properties and applications of Bell polynomials of two variables
Authors
M. Zayed
- Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia.
Sh. A. Wani
- Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International (Deemed University) (SIU), Pune, Maharashtra, India.
W. Ramirez
- Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Rome, Italy.
- Department of Natural and Exact Sciences, Universidad de la Costa, Calle 58 N 55-66, 080002 Barranquilla, Colombia.
M. A. Alqudah
- School of Basic Sciences and Humanities, German Jordanian University, Amman, 11180, Jordan.
F. F. Gandara
- Department of Natural and Exact Sciences, Universidad de la Costa, Calle 58 N 55-66, 080002 Barranquilla, Colombia.
Abstract
In this article, we introduce Bell polynomials of two variables within the framework of generating functions and explore various properties associated with them. Specifically, we delve into explicit representations, summation formulae, recurrence relations, and addition formulas. Additionally, we present the matrix form and product formula for these polynomials. Finally, we introduce the two-variable Bell-based Stirling polynomials of the second kind and outline their corresponding results. This study contributes to a deeper understanding of the properties and applications of Bell polynomials in mathematical analysis.
Share and Cite
ISRP Style
M. Zayed, Sh. A. Wani, W. Ramirez, M. A. Alqudah, F. F. Gandara, Properties and applications of Bell polynomials of two variables, Journal of Mathematics and Computer Science, 35 (2024), no. 3, 291--303
AMA Style
Zayed M., Wani Sh. A., Ramirez W., Alqudah M. A., Gandara F. F., Properties and applications of Bell polynomials of two variables. J Math Comput SCI-JM. (2024); 35(3):291--303
Chicago/Turabian Style
Zayed, M., Wani, Sh. A., Ramirez, W., Alqudah, M. A., Gandara, F. F.. "Properties and applications of Bell polynomials of two variables." Journal of Mathematics and Computer Science, 35, no. 3 (2024): 291--303
Keywords
- Special polynomials
- monomiality principle
- explicit form
- operational connection
- symmetric identities
- summation formulae
MSC
- 33E20
- 33C45
- 33B10
- 33E30
- 11T23
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