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Applicable Analysis
An International Journal
Volume 22, 1986 - Issue 3-4
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Original Articles

Some results on generalized elliptic-type integrals

Shyam L. Kalla Division de Postgrado, Facultad de Ingenierta, Universidad del Zulia, Aptdo. 98, Maracaibo, Venezuela
,
Salvador Conde Division de Postgrado, Facultad de Ingenierta, Universidad del Zulia, Aptdo. 98, Maracaibo, Venezuela
&
J.H. Hubbell Center for Radiation Research, National Bureau of Standards, Gaithersburg, MD, 20899
Pages 273-287 | Published online: 02 May 2007

Citations (33)

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R. K. Saxena & S. L. Kalla . (2004) Asymptotic formulas for unified elliptic-type integrals. Integral Transforms and Special Functions 15:4, pages 359-368.
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Shyam L. Kalla, C. Leubner & J. H. Hubbell. (1987) Further results on generalized elliptic-type integrals. Applicable Analysis 25:4, pages 269-274.
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Articles from other publishers (31)

J.H. Asad, R.S. Hijjawi, EyadHasan Hasan, A.A. Diab & J.M. Khalifeh. (2016) Remarks on the Lattice Green Function for the Anisotropic Face Centered Cubic Lattice. Acta Physica Polonica A 129:1, pages 52-58.
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S. C. Pandey. (2014) Unified integral formulae pertaining to elliptic-type integrals. Rendiconti del Circolo Matematico di Palermo (1952 -) 63:3, pages 425-437.
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Sávio L. Bertoli, Laércio Ender, Juliano de Almeida & Pollyana M. da Silva Kalvelage. (2014) Solutions of elliptic integrals and generalizations by means of Bessel functions. Applied Mathematics and Computation 243, pages 33-43.
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V. B. L. Chaurasia & Yudhveer Singh. (2014) Generalized Elliptic-Type Integrals and Generating Functions. Demonstratio Mathematica 47:2.
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S. C. Pandey. (2013) A unified elliptic-type integral and associated recurrence relations. Indian Journal of Pure and Applied Mathematics 44:5, pages 621-642.
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Vinod B. L. Chaurasia & Shared C. Pandey. (2009) On certain generalized families of unified elliptic-type integrals pertaining to Euler integrals and generating functions. Rendiconti del Circolo Matematico di Palermo 58:1, pages 69-86.
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M. Salman. (2006) Generalized elliptic-type integrals and their representations. Applied Mathematics and Computation 181:2, pages 1249-1256.
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Dan M. Timus, Hari M. Srivastava & Florin F. Scarlat. (2005) Plane rectangular tritium target response to excitation by uniform distributed normal accelerated deuteron beam. Applied Radiation and Isotopes 63:5-6, pages 823-839.
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Dan M. Timus. (2005) Energy behavior of neutrons around axi-symmetric sealed-off neutron generating tubes. Applied Radiation and Isotopes 63:5-6, pages 809-822.
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B.A. Mamedov, R. Tapramaz & Z. Merdan. (2005) Calculation of generalized elliptic type integrals using the binomial expansion theorem. Applied Mathematics and Computation 168:1, pages 333-341.
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Mridula Garg, Vimal Katta & Shyam L. Kalla. (2002) Study of a class of generalized elliptic type integrals. Applied Mathematics and Computation 131:2-3, pages 607-613.
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D.M. Timus, D.A. Bradley, B.D. Timus, S.L. Kalla, H.M. Srivastava, E.G. Finantu & E.N. Mateescu. (2000) On the low order approximation of radiation fields generated by some hollow-cylindrical ion beams accelerated to produce exoergic nuclear reactions. Applied Radiation and Isotopes 53:4-5, pages 953-961.
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A. Al-Zamel, V.K. Tuan & S.L. Kalla. (2000) Generalized elliptic-type integrals and asymptotic formulas. Applied Mathematics and Computation 114:1, pages 13-25.
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Leda Galué. (2000) Asymptotic expansions for generalized elliptic-type integrals. Radiation Physics and Chemistry 58:4, pages 307-313.
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H. Khajah. (1999) Tau method approximation of a generalized Epstein-Hubbell elliptic-type integral. Mathematics of Computation 68:228, pages 1615-1621.
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D.M. Timus, B.D. Timus, M.M. Brasoveanu & D.A. Bradley. (1997) On the energy behaviour of fast d-T neutrons generated by hollow-cylindrical deuteron beams accelerated onto plane tritium targets. Applied Radiation and Isotopes 48:10-12, pages 1677-1686.
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D. M. Timus & M. M. Popescu. (1997) The energy sprad of some radiation fields used in activation analysis. Journal of Radioanalytical and Nuclear Chemistry 220:2, pages 135-143.
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D.M. Timus & H.M. Srivastava. (1997) An alternative approach to the Epstein-Hubbell integral for the energy behaviour study of a class of nuclear reaction products. Radiation Physics and Chemistry 49:3, pages 319-326.
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M. El-Gabali. (2009) Efficient multiple-term approximations for the generalised elliptic-type integrals. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics 38:3, pages 411-426.
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S.L. Kalla & Vu Kim Tuan. (1996) Asymptotic formulas for generalized elliptic-type integrals. Computers & Mathematics with Applications 32:4, pages 49-55.
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A. Al-Zamel & S. Kalla. (1996) Epstein-Hubbell elliptictype integral and its generalizations. Applied Mathematics and Computation 77:1, pages 9-32.
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H.M. Srivastava & R.N. Siddiqi. (1995) A unified presentation of certain families of elliptic-type integrals related to radiation field problems. Radiation Physics and Chemistry 46:3, pages 303-315.
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Dan M. Timus. (1995) Hubbell's methodology application to low order approximation of the nuclear reaction flux density distribution. Radiation Physics and Chemistry 46:1, pages 23-27.
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Dan M. Timus & James D. Evans. (1995) An analytic expression for the flux density around a disk-shaped source omnidirectionally emitting in a trinomial radial dependence approximation in a nondispersive medium. Radiation Physics and Chemistry 45:5, pages 769-771.
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Rekha Srivastava. (1995) A note on the Epstein-Hubbell generalized elliptic-type integral. Applied Mathematics and Computation 69:2-3, pages 255-262.
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H.M. Srivastava & S. Bromberg. (1995) Some families of generalized elliptic-type integrals. Mathematical and Computer Modelling 21:3, pages 29-38.
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D. M. Timus. (1995) A short contribution to the hubbell expression for the radiation field from a class of disk-shaped sources. Journal of Radioanalytical and Nuclear Chemistry Letters 199:1, pages 57-63.
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Pavel G. Todorov & John H. Hubbell. (1994) On the Epstein-Hubbell generalized elliptic-type integral. Applied Mathematics and Computation 61:2-3, pages 157-161.
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G. D. Anderson, M. K. Vamanamurthy & M. Vuorinen. (1992) Functional Inequalities for Hypergeometric Functions and Complete Elliptic Integrals. SIAM Journal on Mathematical Analysis 23:2, pages 512-524.
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Shyam Kalla & Bader Al-Saqabi. (2013) Some Results for a Class of Generalized Elliptic — Type Integrals. Results in Mathematics 20:1-2, pages 507-516.
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M.K. Sinha & S.K. Kulkarni. (1991) Computer code for dose-distribution in a multi-element gamma irradiation cell. International Journal of Radiation Applications and Instrumentation. Part A. Applied Radiation and Isotopes 42:1, pages 41-48.
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