By studying the properties of Chebyshev polynomials, some specific and mean-ingful identities for the calculation of square of Chebyshev polynomials, Fibonacci numbersand Lucas numbers are obtained.
The purpose of this article is to provide the inversion relationships between the reciprocal sum S（1, 2,…, m） and the alternating sum T（1, 2,…, m） for generalized Lucas numbers which generalizes the Melham＇s re...The purpose of this article is to provide the inversion relationships between the reciprocal sum S（1, 2,…, m） and the alternating sum T（1, 2,…, m） for generalized Lucas numbers which generalizes the Melham＇s results.展开更多
基金Supported by the Natural Science Foundation of Shaanxi Province(2002A11)Supported by the Shangluo Teacher's College Research Foundation(SKY2106)
文摘By studying the properties of Chebyshev polynomials, some specific and mean-ingful identities for the calculation of square of Chebyshev polynomials, Fibonacci numbersand Lucas numbers are obtained.
基金Supported by the Natural Science Foundation of the Education Department of Henan Province(2003110009)
文摘The purpose of this article is to provide the inversion relationships between the reciprocal sum S（1, 2,…, m） and the alternating sum T（1, 2,…, m） for generalized Lucas numbers which generalizes the Melham＇s results.
