Geodesic
Best lambda-approximations for analytic functions of rapid growth on the unit disc
Publications de l'Institut Mathématique, _N_S_68 (2000) no. 82, p. 72

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Zbl

We give a solution of the best $\lambda$-approximation for analytic functions of rapid growth such as, for example, the Hardy-Ramanujan generating partition function. Using Ingham Tauberian Theorem we give some interesting applications of our results. An essential role here is played by Karamata's class of regularly varying functions.
Classification : 30E10 26A12 
Slavko Simić. Best lambda-approximations for analytic functions of rapid growth on the unit disc. Publications de l'Institut Mathématique, _N_S_68 (2000) no. 82, p. 72 . http://geodesic.mathdoc.fr/item/PIM_2000_N_S_68_82_a7/
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     title = {Best lambda-approximations for analytic functions of rapid growth on the unit disc},
     journal = {Publications de l'Institut Math\'ematique},
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     year = {2000},
     volume = {_N_S_68},
     number = {82},
     zbl = {0966.30032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2000_N_S_68_82_a7/}
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