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Two-Variable Type 2 Poly-Fubini Polynomials

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Date

2021

Author

Muhiuddin, Ghulam
Khan, Waseem Ahmad
Duran, Uğur

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Citation

Muhiuddin, G., Khan, W.A., Duran, U. (2021). Two-Variable Type 2 Poly-Fubini Polynomials. Mathematics, 9(3), 1-13. DOI: 10.3390/math9030281

Abstract

In the present work, a new extension of the two-variable Fubini polynomials is introduced by means of the polyexponential function, which is called the two-variable type 2 poly-Fubini polynomials. Then, some useful relations including the Stirling numbers of the second and the first kinds, the usual Fubini polynomials, and the higher-order Bernoulli polynomials are derived. Also, some summation formulas and an integral representation for type 2 poly-Fubini polynomials are investigated. Moreover, two-variable unipoly-Fubini polynomials are introduced utilizing the unipoly function, and diverse properties involving integral and derivative properties are attained. Furthermore, some relationships covering the two-variable unipoly-Fubini polynomials, the Stirling numbers of the second and the first kinds, and the Daehee polynomials are acquired.

Source

Mathematics

Volume

9

Issue

3

URI

https://doi.org/10.3390/math9030281
https://hdl.handle.net/20.500.12508/1705

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  • Araştırma Çıktıları | Scopus İndeksli Yayınlar Koleksiyonu [650]
  • Araştırma Çıktıları | Web of Science İndeksli Yayınlar Koleksiyonu [674]
  • Makale Koleksiyonu [42]



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