Fonctions hypergéométriques confluentes
- Publisher: Gauthier-Villars, 1960
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topTricomi, F. G.. Fonctions hypergéométriques confluentes. 1960. <http://eudml.org/doc/192660>.
@book{Tricomi1960,
author = {Tricomi, F. G.},
keywords = {special functions},
language = {fre},
publisher = {Gauthier-Villars},
title = {Fonctions hypergéométriques confluentes},
url = {http://eudml.org/doc/192660},
year = {1960},
}
TY - BOOK
AU - Tricomi, F. G.
TI - Fonctions hypergéométriques confluentes
PY - 1960
PB - Gauthier-Villars
LA - fre
KW - special functions
UR - http://eudml.org/doc/192660
ER -
References
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- [2] « Bateman Projet » ( ERDÉLYI, MAGNUS, OBERHETTINGER et TRICOMI). _ Higher transcendental functions, I, II, III; Tables of integral transformations, I, II; New-York, etc., McGraw-Hill, 1953-1955.
- [3] BUCHHOLZ ( H.). _ Die konfluente hypergeometrische Funktion, Berlin usw, Springer, 1953. Zbl0050.07402MR54783
- [4] CHANG ( C.), CHU ( B.) et O'BRIEN ( V.). _ An asymptotic expansion for the Whittaker function Wkm(z) . (J. Rat. Mech. and Analysis, t. 2, 1953, p. 125-135). Zbl0050.07502MR51374
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- [6] ERDÉLYI ( A.), KENNEDY ( M.) et MCGREGOR ( J. L.). _ Asymptotic of Coulomb wave functions, I, California Inst. of Technology, Tech. Report n° 4, 1955.
- [7] ERDÉLYI ( A.) et SWANSON ( C. A.). _ Asymptotic forms of Coulomb wave functions, II, California Inst. of Technology, Tech. Report n° 5, 1955. MR78407
- [8] ERDÉLYI ( A.) et SWANSON ( G. A.) . _ Asymptotic forms of Whittaker's confluent hypergeometric functions (Amer. Math. Soc. Mem. n° 25, 1957). Zbl0127.29602
- [9] KUMMER ( E. E.). _ Über die hypergeometrische, Reihe F (α, β, x) [J. reine, angew. Math. (Crelle), t. 15, 1836, p. 39-83].
- [10] MAHLER ( K.). _ Über die Nullstellen der unvollständigen Gammafunktion (Rend. Circolo Mat. Palermo, t. 54, 1930, p. 1-41). Zbl56.0310.01JFM56.0310.01
- [11] NIELSEN ( N.). _ Theorie des Integrallogarithmus und verwandter Transzendenten, Leipzig, Teubner, 1906. Zbl37.0454.01JFM37.0454.01
- [12] TAYLOR ( W. C.). _ A complete set of asymptotic formulas... [J. Math. Phys. (M. I. T.), t. 18, 1939, p. 34-49]. Zbl0021.12304JFM65.0293.02
- [13] TRICOMI ( F. G.). _ Sulle funzioni ipergeometriche confluenti [Annali Matem. (4), t. 26, 1947-1948, p. 141-175]. Zbl0034.33704MR29451
- [14] TRICOMI ( F. G.). _ Sugli zeri delle funzioni di cui conosce una rappresentazione asintotica (Ibid. p. 283-300). Zbl0034.32402MR30018
- [15] TRICOMI ( F. G.). _ Sul comportamento asintotico dei polinomi di Laguerre (Ibid., t. 28, 1949, p. 263-289). Zbl0039.29903MR36355
- [16] TRICOMI ( F. G.). _ Sulla funzione gamma incompleta (Ibid., t. 31, 1950, p. 263-279). Zbl0040.18401MR47834
- [17] TRICOMI ( F. G.). _ A class of non orthogonal polynomials related to those of Laguerre [J. Analyse Math. (Jérusalem) , t. 1, 1957, p. 209-231]. Zbl0045.34501MR51351
- [18] TRICOMI ( F. G.). _ Expansion of the hypergeometric function etc. (Comm. Math. Helv., t. 25, 1951, p. 196-204). Zbl0054.03302MR43949
- [19] _ Zur Asymptotik der konfluenten hypergeometrischen Funktionen (Archiv der Math., t. 5, 1943, p. 376-384). Zbl0058.05806MR64209
- [20] TRICOMI ( F. G.). _ Funzioni ipergeometriche confluenti (Monogr. Matem., C. N. R. n° 1), Roma, Cremonese, 1954. Zbl0068.28005MR76936
- [21] TRICOMI ( F. G.). _ Konfluente hypergeometrische Funktionen (Zusammenfassender Bericht) [Z. Angew. Math. Physik (Z. A. M. P.), t. 6, 1955, p. 257-274]. Zbl0064.31001MR71583
- [22] WHITTAKER ( E. T.). et WATSON ( G. N.) _ A course of modern Analysis 4e éd., Cambridge, University Press, 1952. Zbl0951.30002MR1424469JFM45.0433.02
- B. _ TABLES NUMÉRIQUES.
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- [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). Zbl0040.35903MR36072
- [25] GRAN OLSSON ( R.). _ Tabellen der Konfluenten hyperg. Funktionen (Ingenieur-Archiv, t. 8, 1937, p. 99-103 et 373-380). Zbl0016.31705JFM63.0530.01
- [26] KUHN ( T. S.) _ A convenient general solution . . . (Quart. J. Appl. Math., t. 9, 1951, p. 116). MR48637
- [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). Zbl0044.13306MR44892
- [30] RUSHTON ( S.) et LANG ( E. D.). _ Tables of the confluent hyperg. function (Ibid., t. 13, 1954, p. 377-411). Zbl0055.30202MR63492
- [31] SLATER ( L. J.). _ On the evaluation of the confluent hyperg. function. (Proc. Cambridge Phil. Soc., t. 49, 1953, p. 612-622). Zbl0051.10103MR57014
- [32] Tables of Whittaker functions (wave functions in Coulomb field). (The Tsuneta Yano Mem. Soc., Numerical Comp. Bureau, Rep. n° 9, Tokyo, 1956.) Zbl0073.34501MR81562
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