Fractional operators and multi-integral representations for associated Legendre functions

نویسندگان

چکیده

In a recent paper, Cohl and Costas-Santos derived number of interesting multi-derivative multi-integral relations for the associated Legendre Ferrers functions in which orders those are changed integral steps. These potential use physical problems. We show here how their results can be simply from more general involving non-integer changes order obtained using fractional group operator methods developed earlier SO(2,1), E(2,1) its conformal extension, SO(3). also present degrees related representations.

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ژورنال

عنوان ژورنال: Journal of Mathematical Physics

سال: 2022

ISSN: ['0022-2488', '1527-2427', '1089-7658']

DOI: https://doi.org/10.1063/5.0066214