• [1] Einar Hille, A class of reciprocal functions, Ann. of Math. (2) 27 (1926), no. 4, 427–464. MR 1502747, http://dx.doi.org/10.2307/1967695
• [2] Einar Hille, Contributions to the theory of Hermitian series, Duke Math. J. 5 (1939), 875–936. MR 0000870 (1,141e)
• [3] Rudolph E. Langer, On the asymptotic solutions of differential equations, with an application to the Bessel functions of large complex order, Trans. Amer. Math. Soc. 34 (1932), no. 3, 447–480. MR 1501648, http://dx.doi.org/10.1090/S0002-9947-1932-1501648-5
• [4] F. Nevanlinna, Zur Theorie der asymptotischen Potenzreihen, Annales Academiae Scientiarum Fennicae, (A), vol. 12, no. 3 (1918), vii+81 pp.
• [5] F. and R. Nevanlinna, Über die Eigenschaften analytischer Funktionen in der Umgebung einer singulären Stelle oder Linie, Acta Societatis Scientiarum Fennicae, vol. 50, no. 5 (1922), 46 pp.
• [6] Nathan Schwid, The asymptotic forms of the Hermite and Weber functions, Trans. Amer. Math. Soc. 37 (1935), no. 2, 339–362. MR 1501790, http://dx.doi.org/10.1090/S0002-9947-1935-1501790-1
• [7] Gabor Szegö, Orthogonal Polynomials, American Mathematical Society, New York, 1939. American Mathematical Society Colloquium Publications, v. 23. MR 0000077 (1,14b)
• [8] Otto Volk, Über die Entwicklung von Funktionen einer komplexen Veränderlichen nach Funktionen, die einer linearen Differentialgleichung zweiter Ordnung mit einem Parameter genügen, Math. Ann. 86 (1922), no. 3-4, 296–316 (German). MR 1512093, http://dx.doi.org/10.1007/BF01457991
• [9] G. N. Watson, The harmonic functions associated with the parabolic cylinder, Proceedings of the London Mathematical Society, (2), vol. 8 (1910), pp. 393-421.
• [10] -, The harmonic functions associated with the parabolic cylinder, Proceedings of the London Mathematical Society, (2), vol. 17 (1918), pp. 116-148.
• [11] E. T. Whittaker, On the functions associated with the parabolic cylinder in harmonic analysis. Proceedings of the London Mathematical Society, vol. 35 (1903), pp. 417-427.
• [12] E. T. Whittaker and G. N. Watson, Modern Analysis, 4th edition, Cambridge, 1927, x+608 pp.

Bibliography

[1]

E. Hille, A class of reciprocal functions, Annals of Mathematics, (2), vol. 27 (1926), pp. 427-464. MR 1502747

[2]

-, Contributions to the theory of Hermitian series, Duke Mathematical Journal, vol. 5 (1939), pp. 875-936. MR 0000870 (1:141e)

[3]

R. E. Langer, On the asymptotic solutions of differential equations, with an application to the Bessel functions of large complex order, these Transactions, vol. 34 (1932), pp. 447-480. MR 1501648

[4]

F. Nevanlinna, Zur Theorie der asymptotischen Potenzreihen, Annales Academiae Scientiarum Fennicae, (A), vol. 12, no. 3 (1918), vii+81 pp.

[5]

F. and R. Nevanlinna, Über die Eigenschaften analytischer Funktionen in der Umgebung einer singulären Stelle oder Linie, Acta Societatis Scientiarum Fennicae, vol. 50, no. 5 (1922), 46 pp.

[6]

N. Schwid, The asymptotic forms of the Hermite and Weber functions, these Transactions, vol.37 (1935), pp. 339-362. MR 1501790

[7]

G. Szegö, Orthogonal Polynomials, American Mathematical Society Colloquium Publications, vol. 23, New York, 1939, ix+401 pp. MR 0000077 (1:14b)

[8]

O. Volk, Über die Entwicklung von Funktionen einer komplexen Veränderlichen nach Funktionen, die einer linearen Differentialgleichung zweiter Ordnung genügen, Mathematische Annalen, vol. 86 (1922), pp. 296-316. MR 1512093

[9]

G. N. Watson, The harmonic functions associated with the parabolic cylinder, Proceedings of the London Mathematical Society, (2), vol. 8 (1910), pp. 393-421.

[10]

-, The harmonic functions associated with the parabolic cylinder, Proceedings of the London Mathematical Society, (2), vol. 17 (1918), pp. 116-148.

[11]

E. T. Whittaker, On the functions associated with the parabolic cylinder in harmonic analysis. Proceedings of the London Mathematical Society, vol. 35 (1903), pp. 417-427.

[12]

E. T. Whittaker and G. N. Watson, Modern Analysis, 4th edition, Cambridge, 1927, x+608 pp.