Fonctions hypergéométriques confluentes

Tricomi, F. G.

Mémorial des sciences mathématiques, no. 140 (1960) , 92 p.

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     author = {Tricomi, F. G.},
     title = {Fonctions hyperg\'eom\'etriques confluentes},
     series = {M\'emorial des sciences math\'ematiques},
     publisher = {Gauthier-Villars},
     number = {140},
     year = {1960},
     mrnumber = {120409},
     zbl = {0087.28002},
     language = {fr},
     url = {http://www.numdam.org/item/MSM_1960__140__1_0/}
}

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Tricomi, F. G. Fonctions hypergéométriques confluentes. Mémorial des sciences mathématiques, no. 140 (1960), 92 p. http://numdam.org/item/MSM_1960__140__1_0/

Bibliographie
Cité par

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[14] Tricomi (F. G.). _ Sugli zeri delle funzioni di cui conosce una rappresentazione asintotica (Ibid. p. 283-300). | Zbl | MR

[15] Tricomi (F. G.). _ Sul comportamento asintotico dei polinomi di Laguerre (Ibid., t. 28, 1949, p. 263-289). | Zbl | MR

[16] Tricomi (F. G.). _ Sulla funzione gamma incompleta (Ibid., t. 31, 1950, p. 263-279). | Zbl | MR

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[18] Tricomi (F. G.). _ Expansion of the hypergeometric function etc. (Comm. Math. Helv., t. 25, 1951, p. 196-204). | Zbl | MR

[19] _ Zur Asymptotik der konfluenten hypergeometrischen Funktionen (Archiv der Math., t. 5, 1943, p. 376-384). | Zbl | MR

[20] Tricomi (F. G.). _ Funzioni ipergeometriche confluenti (Monogr. Matem., C. N. R. n° 1), Roma, Cremonese, 1954. | Zbl | MR

[21] Tricomi (F. G.). _ Konfluente hypergeometrische Funktionen (Zusammenfassender Bericht) [Z. Angew. Math. Physik (Z. A. M. P.), t. 6, 1955, p. 257-274]. | Zbl | MR

[22] Whittaker (E. T.). et Watson (G. N.) _ A course of modern Analysis 4e éd., Cambridge, University Press, 1952. | Zbl | MR | JFM

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[23] British. Assoc. Adv. Sc. Reports (Oxford), 1926, p. 276-294; 1927, p. 220-244.

[24] Conolly (B. W.). _ A short table of the confluent hyperg. function M (α, α, x). (Quart. J. Appl. Math., t. 2, 1950, p. 236-240). | Zbl | MR

[25] Gran Olsson (R.). _ Tabellen der Konfluenten hyperg. Funktionen (Ingenieur-Archiv, t. 8, 1937, p. 99-103 et 373-380). | Zbl | JFM

[26] Kuhn (T. S.) _ A convenient general solution . . . (Quart. J. Appl. Math., t. 9, 1951, p. 116). | MR

[27] Mac Donald (A. D.). J . Math. Phys., (M. I. T.), t. 28, 1949, p. 183-191.

[28] Middleton (D.) et Johnson (V.). _ A tabulation of selected confluent hyperg. functions, Harvard University tech. Rep. n° 140, Cambridge, Mass., 1952.

[29] Nath (P.) _ Confluent hyperg. function. (Sankhya, t. 11, 1951, p. 153-166). | Zbl | MR

[30] Rushton (S.) et Lang (E. D.). _ Tables of the confluent hyperg. function (Ibid., t. 13, 1954, p. 377-411). | Zbl | MR

[31] Slater (L. J.). _ On the evaluation of the confluent hyperg. function. (Proc. Cambridge Phil. Soc., t. 49, 1953, p. 612-622). | Zbl | MR

[32] Tables of Whittaker functions (wave functions in Coulomb field). (The Tsuneta Yano Mem. Soc., Numerical Comp. Bureau, Rep. n° 9, Tokyo, 1956.) | Zbl | MR

[33] Tables of Coulomb wave functions, National Bureau of Standard, Washington D. C., 1952. | Zbl