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- W4310414446 abstract "We provide a theoretical study of a new family of orthogonal functions on the punctured complex plane solving the eigenvalue problems for some magnetic Laplacian perturbed by a singular vector potential with zero magnetic field modeling the Aharonov-Bohm effect. The functions are defined by their $beta$-modified Rodrigues type formula and extend the poly-analytic It^o--Hermite polynomials to the poly-meromorphic setting. Mainly, we derive their different operational representations and give their explicit expressions in terms of special functions. Different generating functions and integral representations are obtained." @default.
- W4310414446 created "2022-12-10" @default.
- W4310414446 creator A5026949765 @default.
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- W4310414446 date "2022-11-26" @default.
- W4310414446 modified "2023-09-27" @default.
- W4310414446 title "Poly-meromorphic It^o-Hermite functions associated with a singular potential vector on the punctured complex plane" @default.
- W4310414446 doi "https://doi.org/10.48550/arxiv.2211.14566" @default.
- W4310414446 hasPublicationYear "2022" @default.
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