Full length article: Generating functions of Legendre polynomials: A tribute to Fred Brafman

By James G. Wan, Wadim Zudilin. 2012

48 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/cec3f5ee876701b062a763e30e530e1182f15aa7

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1. Zhen Hu
2. Xiaoping Du
3. Sankaran Mahadevan
4. Chao Jiang
5. N. Xiao
6. Diego A. Alvarez
7. Kalyanmoy Deb
8. Bingjie Ni

Citations in the corpus

• First order reliability method for time-variant problems using series expansions (2015, background): “…standard Gaussian random variables, and hj (t) is the j -th orthogonal function given by hj (t) = √ 2j + 1 2T Lej (tr ) (17) where Lej (·) is the j -th Legendre polynomial (Wan and Zudilin 2013; Zhang and Gao 2012), and tr is given by tr = 2 t T − 1 (18) Details about how the correlated…”