Müntz ball polynomials and Müntz spectral-Galerkin methods for singular eigenvalue problems

In this paper, we introduce a new family of orthogonal systems, termed as the Müntz ball polynomials (MBPs), which are orthogonal with respect to the weight function: ‖ x‖ 2θ+2μ-2(1 - ‖ x‖ 2θ) α with the parameters α> - 1 , μ> - 1 / 2 and θ> 0 in the d-dimensional unit ball x∈ Bd= { x∈ Rd:...

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Bibliographic Details
Main Authors: Yang, Xiu, Wang, Li-Lian, Li, Huiyuan, Sheng, Changtao
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2023
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Online Access:https://hdl.handle.net/10356/171420
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Institution: Nanyang Technological University
Language: English

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