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Abstrakty
The object of this article is to present a unification and generalisation of certain families of elliptic-type integrals which were studied in a number of earlier works on the subject due to their importance for possible applications in certain problems arising in radiation physics and nuclear technology. The results obtained are of general character and include the investigations carried out by several authors including Srivastava and Siddiqi, Kalla and Tuan, Al-Zamel et al and Saxena et al.
Wydawca
Czasopismo
Rocznik
Tom
Strony
579--589
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
autor
- Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur-342001, (Rajasthan), India
autor
- Department of Mathematics, Aligarh Muslim University, Aligarh-202002, (U.P.), India
Bibliografia
- [1] Abramowitz, I. Stegun, Handbook of Mathematical Functions, Dover, New York, 1972.
- [2] B. N. Al-Saqabi, A generalization of elliptic-type integrals, Hadronic J. 10 (1987), 331.
- [3] A. Al-Zamel, V. K. Tuan, S. L. Kalla, Generalized Elliptic-type integrals and Asymptotic formulas, App. Math. Comput. 114 (2000), 13-25.
- [4] M. J. Berger, J. C. Lamkin, Simple calculations of Gamma ray penetration into shelters...; contribution, J. Res. NBS, 60 (1958), 109.
- [5] J. Bjorkberg, G. Kristensson, Electromagnetic scattering by a perfectly conducting elliptic disk, Canad. J. Phys. 65 (1987), 723.
- [6] A. Erdelyi, W. Magnus, F. Oberhetinger, F. G. Tricomi, Higher Transcendental Functions, Vol. 1, McGraw-Hill, New York, 1953.
- [7] M. L. Glasser, S. L. Kalla, Recursion relations for a class of generalized elliptictype integrals, Rev. Tec. Ing. Univ. Zulia 12 (1989), 47.
- [8] J. H. Hubbell, R. I. Bach, R. J. Herbold, Radiation field from a circular disc source, J. Res. NBS 65 (1961), 254-264.
- [9] S. L. Kalla, Results on generalized elliptic-type integrals mathematical structures, computational mathematics-mathematical modelling, E. Sendov (ed.) Bulg. Acad. Special Vol. (164), 216-219.
- [10] S. L. Kalla, The Hubell rectangular source integral and its generalizations, Radiat. Phys. Chem. 41 (1993), 775-781.
- [11] S. L. Kalla, B. Al-Saqabi, On a generalized elliptic-type integral, Rev. Bra. Fis. 16 (1986), 145-156.
- [12] S. L. Kalla, S. Conde, J. H. Hubbell, Some results on generalized elliptic-type integrals, Appl. Anal. 22 (1986), 273-286.
- [13] S. L. Kalla, C. Leubner, J. H. Hubbell, Further results on generalized elliptictype integrals, Appl. Anal. 25 (1987), 269-274.
- [14] S. L. Kalla, Vu Kim Tuan, Asymptotic formulas for generalized Elliptic-type integrals, Computers Math. Appl. 32 (1996), 49-55.
- [15] P. Kliuga, S. M. Khanna, Dose rate to the inner ear during Mosebauer experiments, Phys. Med. Biol. 28 (1983), 359-366.
- [16] A. M. Mathai, R. K. Saxena, The H Function with Applications in Statistics and Other Disciplines, John Wiley and Sons. Inc. Halsted Press, New York, 1978.
- [17] R. K. Saxena, S. L. Kalla, A new method for evaluating Epstein-Hubbell generalized Elliptic-type integral, Int. J. Appl. Math. 2 (2000), 732-742.
- [18] R. K. Saxena, S. L. Kalla, J. H. Hubbell, Asymptotic expansion of a unified Elliptic-type integral, Math. Balkanica 15 (2001).
- [19] R. N. Siddiqi, On a class of generalized elliptic-type integral, Rev. Brasileira Fis. 19 (1989), 137-147.
- [20] H. M. Srivastava, R. N. Siddiqi, A unified presentation of certain families of elliptic-type integrals related to radiation field problems, Radiat. Phys. Chem. 46 (1995), 303-315.
Typ dokumentu
Bibliografia
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