On the evaluation of indefinite integrals involving the special functions: application of method
Author:
L. C. Maximon
Journal:
Quart. Appl. Math. 13 (1955), 84-93
MSC:
Primary 33.0X
DOI:
https://doi.org/10.1090/qam/67258
MathSciNet review:
67258
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
- Yudell L. Luke, Some notes on integrals involving Bessel functions, J. Math. Physics 29 (1950), 27–30. MR 0034908, DOI https://doi.org/10.1080/00031305.1950.10501658
N. W. McLachlan and A. L. Meyers, Integrals involving Bessel and Struve functions, Phil. Mag. 21, 437 (1936).
- Harry Bateman and Raymond Clare Archibald, A guide to tables of Bessel functions, Math. Tables Aids Comput. 1 (1944), 205–308. MR 11175, DOI https://doi.org/10.1090/S0025-5718-1944-0011175-4
- Johannes Picht, Über Integrale von Funktionen, die Produkte Besselscher Funktionen enthalten, Z. Angew. Math. Mech. 29 (1949), 155–157 (German). MR 35875
J. G. Rutgers, Sur des séries et des intégrales définies contenantes les fonctions de Bessel, Nederl. Akademie van Wetens. 44, 464, 636, 744, 840, 978, 1092 (1941). Over reeksen en bepaalde integralen, waarbij functies van Bessel optreden, Ibid., 45, 376, 484 (1942).
- D. Martin, Integrals of Lommel’s type for confluent hypergeometric functions, Proc. Glasgow Math. Assoc. 1 (1952), 28–31. MR 51369
H. Buchholtz, Die konfluente hypergeometrische Funktion, Ergebnisse Angew., Math 2, (1953); note pp. 112–118.
G. N. Watson, A treatise on the theory of Bessel functions, Camb. Univ. Press, 2nd ed. 1944.
Y. L. Luke, Some notes on integrals involving Bessel functions, J. Math. Phys. 29, 27 (1950). An associated Bessel function. J. Math. Phys. 31, 131 (1952).
N. W. McLachlan and A. L. Meyers, Integrals involving Bessel and Struve functions, Phil. Mag. 21, 437 (1936).
H. Bateman and R. C. Archibald, A guide to tables of Bessel functions, Math. Aids to Comp. 1, No. 7, 205 (1944); note p. 266.
J. Picht, Über Integrale von Funktionen, die Produkte Besselscher Funktionen enthalten, Z. Angew. Math. Mech. 29, 1955 (1949).
J. G. Rutgers, Sur des séries et des intégrales définies contenantes les fonctions de Bessel, Nederl. Akademie van Wetens. 44, 464, 636, 744, 840, 978, 1092 (1941). Over reeksen en bepaalde integralen, waarbij functies van Bessel optreden, Ibid., 45, 376, 484 (1942).
D. Martin, Integrals of Lommel’s type for confluent hypergeometric functions, Proc. Glasgow Math. Assoc. 1, 28 (1952).
H. Buchholtz, Die konfluente hypergeometrische Funktion, Ergebnisse Angew., Math 2, (1953); note pp. 112–118.
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
33.0X
Retrieve articles in all journals
with MSC:
33.0X
Additional Information
Article copyright:
© Copyright 1955
American Mathematical Society
