On a Novel Class of Polyanalytic Hermite Polynomials

Author:

Benahmadi Abdelhadi,Ghanmi AllalORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference32 articles.

1. Abreu, L.D., Feichtinger, H.G.: Function spaces of polyanalytic functions. In: Vasil’ev, A. (ed) Harmonic and Complex Analysis and Its Applications. Trends in Mathematics, pp. 1–38. Birkhäuser/Springer, Cham (2014)

2. Agorram, F., Benkhadra, A., El Hamyani, A., Ghanmi, A.: Complex Hermite functions as Fourier–Wigner transform. Integral Transforms Spec. Funct. 27(2), 94–100 (2016)

3. Balk, M.B.: Polyanalytic Functions, Mathematical Research, vol. 63. Akademie-Verlag, Berlin (1991)

4. Benahmadi, A., Ghanmi, A.: Non-trivial 1d and 2d integral transforms of Segal–Bargmann type. Integral Transforms Spec. Funct. 30(7), 547–563 (2019)

5. Burgatti, P.: Sulla funzioni analitiche d’ordini $$n$$. Boll. Unione Mat. Ital. 1(1), 8–12 (1922)

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