A combinatorial formula of Leibniz type with application to Gegenbauer’s polynomials
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- by Katsunori Iwasaki and Hiroyuki Kawamuko PDF
- Proc. Amer. Math. Soc. 127 (1999), 29-33 Request permission
Abstract:
We establish a combinatorial formula of Leibniz type, which is an identity for a certain differential polynomial. The formula leads to new quadratic relations between Gegenbauer’s orthogonal polynomials.References
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Additional Information
- Katsunori Iwasaki
- Affiliation: Department of Mathematics, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka 812-8581 Japan
- Email: iwasaki@math.kyushu-u.ac.jp
- Hiroyuki Kawamuko
- Affiliation: Department of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153 Japan
- Address at time of publication: Department of Mathematics, Mie University, 1515 Kamihama, Tsu 514-8507, Japan
- Email: kawam@poisson.ms.u-tokyo.ac.jp
- Received by editor(s): May 2, 1997
- Communicated by: Hal L. Smith
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 29-33
- MSC (1991): Primary 05A19, 33C45, 42C05
- DOI: https://doi.org/10.1090/S0002-9939-99-04677-8
- MathSciNet review: 1476139