Identities involving 3-variable Hermite polynomials arising from umbral method

Springer Science and Business Media LLC - Tập 2020 - Trang 1-16 - 2020
Nusrat Raza1, Umme Zainab2, Serkan Araci3, Ayhan Esi4
1Mathematics section, Women’s College, Aligarh Muslim University, Aligarh, India
2Department of Mathematics, Aligarh Muslim University, Aligarh, India
3Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, Gaziantep, Turkey
4Department of Basic Engineering Sciences, Engineering Faculty, Malatya Turgut Ozal University, Malatya, Turkey

Tóm tắt

In this paper, we employ an umbral method to reformulate the 3-variable Hermite polynomials and introduce the 4-parameter 3-variable Hermite polynomials. We also obtain some new properties for these polynomials. Moreover, some special cases are discussed and some concluding remarks are also given.

Tài liệu tham khảo

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