Incomplete symmetric orthogonal polynomials of finite type generated by a generalized Sturm–Liouville theorem

@article{MasjedJamei2020IncompleteSO,
  title={Incomplete symmetric orthogonal polynomials of finite type generated by a generalized Sturm–Liouville theorem},
  author={Mohammad Masjed‐Jamei and Zahra Moalemi and Nasser Saad},
  journal={Journal of Mathematical Physics},
  year={2020},
  volume={61},
  pages={023501}
}
In a classical case, orthogonal polynomial sequences are in such a way that the nth polynomial has the exact degree n. Such sequences are complete and form a basis of the space for any arbitrary polynomial. In this paper, we introduce some incomplete sets of finite orthogonal polynomials that do not contain all degrees, but they are solutions of some symmetric generalized Sturm–Liouville problems. Although such polynomials do not possess all properties as in classical cases, they can be applied… 
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3 Citations

3 Citations

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