A new class of Appell-type Changhee-Euler polynomials and related properties

Tabinda Nahid; Mohd Saif; Serkan Araci; Tabinda Nahid; Mohd Saif; Serkan Araci

doi:10.3934/math.2021788

AIMS Mathematics

2021, Volume 6, Issue 12: 13566-13579. doi: 10.3934/math.2021788

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Research article

A new class of Appell-type Changhee-Euler polynomials and related properties

1.
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, Uttar Pradesh, India
2.
Department of Applied Mathematics, Zakir Hussain College of Engineering and Technology, Aligarh Muslim University, Aligarh 202002, Uttar Pradesh, India
3.
Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, Gaziantep TR-27410, Turkey

Received: 07 July 2021 Accepted: 06 September 2021 Published: 24 September 2021
MSC : 11B68, 33B10, 33E20

A remarkably large number of polynomials and their extensions have been presented and studied. In the present paper, we introduce the new type of generating function of Appell-type Changhee-Euler polynomials by combining the Appell-type Changhee polynomials and Euler polynomials and the numbers corresponding to these polynomials are also investigated. Certain relations and identities involving these polynomials are established. Further, the differential equations arising from the generating function of the Appell-type Changhee-Euler polynomials are derived. Also, the graphical representations of the zeros of these polynomials are explored for different values of indices.
- Euler polynomials,
- Appell-type Changhee polynomials,
- Appell-type Changhee-Euler polynomials,
- differential equation
Citation: Tabinda Nahid, Mohd Saif, Serkan Araci. A new class of Appell-type Changhee-Euler polynomials and related properties[J]. AIMS Mathematics, 2021, 6(12): 13566-13579. doi: 10.3934/math.2021788

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Abstract

A remarkably large number of polynomials and their extensions have been presented and studied. In the present paper, we introduce the new type of generating function of Appell-type Changhee-Euler polynomials by combining the Appell-type Changhee polynomials and Euler polynomials and the numbers corresponding to these polynomials are also investigated. Certain relations and identities involving these polynomials are established. Further, the differential equations arising from the generating function of the Appell-type Changhee-Euler polynomials are derived. Also, the graphical representations of the zeros of these polynomials are explored for different values of indices.

References

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