Abstract
The parabolic cylinder functions may, in general, be considered as solutions of the differential equation
which, by a simple change of variable, reduces to the form
.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Literature
Buchholz, H.: Z. angew. Math. Mech. 23 (1943) 47–58, 100-118.
Buchholz, H.: Z. phys. 24 (1948) 196–218.
Buchholz, H.: Ann. phys. 2 (1948) 185–210.
Buchholz, H.: Math. Z. 52 (1949) 355–383.
Buchholz, H.: Die konfluente hypergeometrische Funktion. Berlin/Göttingen/Heidelberg: Springer 1953.
Erdélyi, A.: Higher transcendental functions, Vol. 2. New York: McGraw-Hill 1953.
Olver, F. W. J.: Jour. Res. NBS 63 B, 2, 1959, 131–169.
Schwid, N.: Trans. Amer. math. Soc. 37 (1935) 339–362.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1966 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Magnus, W., Oberhettinger, F., Soni, R.P. (1966). Parabolic cylinder functions and parabolic functions. In: Formulas and Theorems for the Special Functions of Mathematical Physics. Die Grundlehren der mathematischen Wissenschaften, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11761-3_8
Download citation
DOI: https://doi.org/10.1007/978-3-662-11761-3_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-11763-7
Online ISBN: 978-3-662-11761-3
eBook Packages: Springer Book Archive