On Finite Classes of Two-Variable Orthogonal Polynomials


The purpose of this paper is to introduce several finite sets of orthogonal polynomials in two variables, and investigate some general properties of them such as recurrence relations, generating functions, differential equations, and Rodrigues type representations.

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The work of the third author has been supported by the Alexander von Humboldt Foundation under the Grant number: Ref 3.4-IRN-1128637-GF-E.

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Correspondence to Rabia Aktaş.

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Güldoğan, E., Aktaş, R. & Masjed-Jamei, M. On Finite Classes of Two-Variable Orthogonal Polynomials. Bull. Iran. Math. Soc. 46, 1163–1194 (2020). https://doi.org/10.1007/s41980-019-00319-y

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  • Orthogonal polynomial
  • Weight function
  • Differential equation
  • Recurrence relation
  • Generating function

Mathematics Subject Classification

  • 33C45
  • 33C50