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Applicable Analysis
An International Journal
Volume 25, 1987 - Issue 4
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Original Articles

Further results on generalized elliptic-type integrals

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Pages 269-274 | Received 10 Apr 1987, Published online: 14 May 2010

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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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Á. Pintéer & H.M. Srivastava. (1998) Some remarks on generalized elliptic-type integrals. Integral Transforms and Special Functions 7:1-2, pages 167-170.
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Ákos Pintér. (1995) A Note On The Epstein—Hubbell Integral. Integral Transforms and Special Functions 3:4, pages 301-304.
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Articles from other publishers (31)

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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V. B. L. Chaurasia & S.C. Pandey. (2008) Unified elliptic-type integrals and asymptotic formulas. Demonstratio Mathematica 41:3.
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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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Cevdet Tezcan. (2005) Recurrence relations for the Epstein–Hubbell integral and its generalized forms. Radiation Physics and Chemistry 72:6, pages 651-656.
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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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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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Magdi A. El-Gabali. (2009) Multiple-term approximations for Appell's F 1 function . The Journal of the Australian Mathematical Society. Series B. Applied Mathematics 39:1, pages 135-148.
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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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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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V. Badescu. (1994) Flux geometric factors of a spherical source of non-isotropic radiation. Radiation Physics and Chemistry 44:4, pages 377-379.
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Leda Galué, Shyam L. Kalla & C. Leubner. (1994) Algorithms for the approximation of the generalized Hubbell rectangular source integrals. Radiation Physics and Chemistry 43:5, pages 497-502.
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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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Shyam Kalla. (1993) The hubbell rectangular source integral and its generalizations. Radiation Physics and Chemistry 41:4-5, pages 775-781.
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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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