Generalized elliptic-type integrals and asymptotic formulas

Applied Mathematics and Computation

Volumn 114, Issue 1, 2000, Pages 13-25

  Al Zamel, A ^a   Tuan, V K ^a   Kalla, S L ^a  

^a KUWAIT UNIVERSITY   (Kuwait)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL COMPLEXITY; PROBLEM SOLVING;

ASYMPTOTIC EXPANSIONS; ELLIPTIC-TYPE INTEGRALS;

INTEGRAL EQUATIONS;

EID: 0034245647     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00092-2     Document Type: Article

References (10)

1. M. Abramowitz, I. Stegun, Handbook of Mathematical Functions, Dover, New York, 1972.
2. P.F. Byrd, M.D. Friedman, Handbook of Elliptic Integrals for Engineers and Scientists, Springer, Berlin, 1971.
3. Hubbell J.H., Bach R.L., Herbold R.J. Radiation field from a circular disk source. J. Res. N.B.S. 65:1961;249.
4. Epstein L.F., Hubbell J.H. Evaluation of a generalized elliptic-type integral. J. Res. N.B.S. 67:1963;1.
5. Berger M.J., Lamkin J.C. Sample calculation of gamma ray penetration into shelters, Contribution of sky shine and roof contamination. J. Res. N.B.S. 60:1958;109.
6. Al-Zamel A., Kalla S. Epstein-Hubbell elliptic-type integrals and its generalization. Appl. Math. Comput. 77:1996;9.
7. Kalla S.L., Conde S., Hubbell J.H. Some results on generalized elliptic-type integrals. Appl. Anal. 22:1986;273.
8. Srivastava H.M., Siddiqi R.N. A unified presentation of certain families of elliptic-type integrals related to radiation field problems. Radiat. Phys. Chem. 46:1995;303.
9. Kalla S.L., Tuan V.K. Asymptotic formulas for generalized elliptic-type integrals. Computers. Math. Appl. 32:1996;49.
10. H. Exton, Multiple Hypergeometric Functions and Applications, Ellis Horwood, New York 1976.