Lommel functions with imaginary argument
Author:
Charles N. Rollinger
Journal:
Quart. Appl. Math. 21 (1964), 343-349
DOI:
https://doi.org/10.1090/qam/153883
MathSciNet review:
153883
Full-text PDF Free Access
Abstract |
References |
Additional Information
Abstract: To express the solution to certain physical problems in terms of a real function of a real variable a new function called a modified Lommel Function is defined. Some of its properties are presented along with some of the relations between this new function and modified Bessel functions.
E. C. Lommel, “Üeber eine mit den Bessel’schen Functionen verwandte Function,” Math. Ann. 9 (1876) 425
G. N. Watson, Theory of Bessel functions, Cambridge, Second Edition, 1952, pp. 345–351
- Yudell L. Luke, Integrals of Bessel functions, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1962. MR 0141801
Erdelyi, et al, Higher transcendental functions, Vol. 2, McGraw-Hill, 1953, pp. 40–42
E. C. Lommel, “Üeber eine mit den Bessel’schen Functionen verwandte Function,” Math. Ann. 9 (1876) 425
G. N. Watson, Theory of Bessel functions, Cambridge, Second Edition, 1952, pp. 345–351
Y. L. Luke, Integrals of Bessel functions, McGraw-Hill, 1962, pp. 73–94
Erdelyi, et al, Higher transcendental functions, Vol. 2, McGraw-Hill, 1953, pp. 40–42
Additional Information
Article copyright:
© Copyright 1964
American Mathematical Society
