Some Results in Laguerre Polynomials

• Main Authors: Yu-Jen Pan, 潘裕仁
• Other Authors: Chuan-Jen Chyan
• Format: Others
• Language: zh-TW
• Published: 2002
• Online Access: http://ndltd.ncl.edu.tw/handle/04028508196863007552

碩士 === 淡江大學 === 數學學系 === 90 === Motivated essentially by serveral recent works on the subject of polynomial expansions by Popov. We shall develop a few polynomial expansions in series of Euler polynomials. By adapting the methods of Popov, we obtain an analogous result indicating the generalized Laguerre polynomial expansions in series of Euler polynomials. We also append two results which establish the Jacobi and Hermite polynomials expansion in series of Euler polynomials.