Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A combinatorial formula of Leibniz type
with application to Gegenbauer's polynomials

Authors: Katsunori Iwasaki and Hiroyuki Kawamuko
Journal: Proc. Amer. Math. Soc. 127 (1999), 29-33
MSC (1991): Primary 05A19, 33C45, 42C05
MathSciNet review: 1476139
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 05A19, 33C45, 42C05

Retrieve articles in all journals with MSC (1991): 05A19, 33C45, 42C05

Additional Information

Katsunori Iwasaki
Affiliation: Department of Mathematics, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka 812-8581 Japan

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

Keywords: Combinatorial formula of Leibniz type, Gegenbauer's polynomials, transcendency of the Gamma function
Received by editor(s): May 2, 1997
Communicated by: Hal L. Smith
Article copyright: © Copyright 1999 American Mathematical Society