Certain asymptotic expansions for laguerre polynomials and Charlier polynomials |
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| Authors: | L. C. Hsu |
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| Affiliation: | (1) Institute of Mathematics, Dalian University of Technology, 116024 Dalian, PR China |
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| Abstract: | Here proposed are certain asympotic expansion formulas for L n (∞-1) (λz) and C n (∞) (λz) in which 0n/(w)(λz), z being a complex number. Also presented are certain estimates for the remainders (error bounds) of the asymptotic expansions within the regions D1(-∞ez<=1/2(ω/λ) and D2(1/2(ω/λ)<=Rez<∞), respectively. Supported by NSERC (Canada) and also by the National Natural Science Foundation of China. |
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