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Construction of the type 2 poly-Frobenius–Genocchi polynomials with their certain applications

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info:eu-repo/semantics/openAccess

Date

1 December

Author

Duran, Ugur
Acikgoz, Mehmet
Araci, Serkan

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Citation

Duran, U., Acikgoz, M., & Araci, S. (December 01, 2020). Construction of the type 2 poly-Frobenius–Genocchi polynomials with their certain applications. Advances in Difference Equations, 2020, 1.)

Abstract

Kim and Kim (Russ. J. Math. Phys. 26(1):40–49, 2019) have studied the type 2 poly-Bernoulli polynomials. Inspired by their work, we consider a new class of the Frobenius–Genocchi polynomials, which is called the type 2 poly-Frobenius–Genocchi polynomials, by means of the polyexponential function. We also derive some new relations and properties including the Stirling numbers of the first and second kinds. In a special case, we give a relation between the type 2 poly-Frobenius–Genocchi polynomials and Bernoulli polynomials of order k. Moreover, motivated by the definition of the unipoly-Bernoulli polynomials given in (Kim and Kim in Russ. J. Math. Phys. 26(1):40–49, 2019), we introduce the unipoly-Frobenius–Genocchi polynomials via a unipoly function and give multifarious properties including derivative and integral properties. Furthermore, we provide a correlation between the unipoly-Frobenius–Genocchi polynomials and the classical Frobenius–Genocchi polynomials. © 2020, The Author(s).

Source

Advances in Difference Equations

Volume

2020

Issue

1

URI

https://doi.org/10.1186/s13662-020-02889-2
https://hdl.handle.net/20.500.11782/2132

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  • İİSBF - İKT Makale Koleksiyonu [171]
  • Scopus İndeksli Yayınlar Koleksiyonu [649]
  • WoS İndeksli Yayınlar Koleksiyonu [857]



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