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A class of non-orthogonal polynomials related to those of Laguerre. (English) Zbl 0045.34501


MSC:

33C99 Hypergeometric functions
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References:

[1] Tricomi,Sviluppo dei polinomi di Laguerre e di Hermite in serie di funzioni di Bessel, Giorn. Ist. Italiano Attuari12 (1941), 14–33;Sulle funzioni ipergeometriche confluenti, Annali Mat. Pura Appl. (4)26 (1947–48), 141–175;Expansion of the hypergeometric functions in series of confluent ones and application to the Jacobi polynomials, Commentarii Math. Helvetici, 1951.
[2] Tricomi,Asymptotische Eigenschaften der unvollstaendigen Gammafunktion, Math. Zeitschr.53 (1950), 136–148;Sulla funzione gamma incompleta, Annali Mat. Pura Appl. (4).31 (1950), 263–279. · Zbl 0038.22105
[3] F. G. Tricomi and A. Erdélyi,The asymptotic expansion of {\(\Gamma\)} (z+{\(\alpha\)})/{\(\Gamma\)} (z+{\(\beta\)}). Pacific J. of Math.1 (1951), 133–142. · Zbl 0043.29103
[4] Tricomi,Sugli zeri delle funzioni di cui si conosce una rappresentazione asintotica, Annali Matem. Pura Appl. (4)26 (1947), 283–300. · Zbl 0034.32402
[5] Tricomi,Sul comportamento asintotico dei polinomi di Laguerre. Annali Mat. Pura Appl. (4)28 (1949), 263–289. · Zbl 0039.29903
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