Recurrence relations of orthogonal polynomials in H01 and H02

• Kinoshita Takehiko

  Center for the Promotion of Interdisciplinary Education and Research, Kyoto University Research Institute for Mathematical Sciences, Kyoto University

• Watanabe Yoshitaka

  Research Institute for Information Technology, Kyushu University CREST, Japan Science and Technology Agency

• Nakao Mitsuhiro T.

  National Institute of Technology, Sasebo College

書誌事項

タイトル別名

• Recurrence relations of orthogonal polynomials in <I>H</I>₀¹ and <I>H</I>₀²

抄録

We present a three term recurrence relation of orthogonal polynomials for H₀¹ and H₀² spaces. If there were explicit formulas for such orthogonal polynomials, they would be very convenient for various kinds of practical computations. As long as such formulas are not available recurrence relations may effictively substitute them. As far as the authors know, these recurrence relations of orthogonal polynomials for H₀¹ and H₀² were not known up to now. In this paper, the three term recurrence relations of these orthogonal polynomials were derived by using properties of Legendre polynomials. Our results will enable us to simplify computational procedures in the spectral approximation methods.

収録刊行物

• Nonlinear Theory and Its Applications, IEICE

  Nonlinear Theory and Its Applications, IEICE 6 (3), 404-409, 2015

  一般社団法人 電子情報通信学会

キーワード

• recurrence relations
• orthogonal polynomials

詳細情報

• CRID: 1390282680322193152
• NII論文ID: 130005085581
• DOI: 10.1587/nolta.6.404
• ISSN: 21854106
• Web Site: https://www.jstage.jst.go.jp/article/nolta/6/3/6_404/_pdf
• 本文言語コード: en
• データソース種別:
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