1. Abedin K.M., Mujibur Rahman S.M. Computer simulation of Fresnel diffraction from double rectangular apertures in one and two dimensions using the iterative Fresnel integrals method. Opt. Laser Technol. 2012, 44 (2), 394-402. doi: 10.1016/j.optlastec.2011.08.001
  2. Abramowitz M., Stegun I.A. (Eds.) Handbook of Mathematical Functionswith Formulas, Graphs, and Mathematical Tables. Dover Publications, New York, 1972.
  3. Bulatov V.V., Vladimirov Y.V. Internal Gravity Waves in an Inhomogeneous Medium. Nauka, Moscow, 2005. (in Russian)
  4. Comtet L. Advanced Combinatorics: The Art of Finite and Infinite Expansions. D. Reidel Publishing, Dordrecht, 1974.
  5. Dmitriev A.Yu., Doskolovich L.L., Kharitonov S.I. Asymptotic computation of the light field intensity for a diffractive optical element to focus into a line. Comp. Optics. 2008, 32 (2), 195-200. (in Russian)
  6. Gelfond A.O. Calculus of Finite Differences. GIFML, Moscow, 1959. (in Russian)
  7. Goy T.P., Zatorsky R.A. Differential equations of functions generated by rising factorial powers. In: Proc. of the Intern. Math. Conf. "Bogolyubov readings DIF-2013. Differential equations, theory of functions and their applications", Sevastopol, Ukraine, June 23-30, 2013, Institute of Mathematics of NAS of Ukraine, Kyiv, 2013, 83-84. (in Ukrainian)
  8. Goy T.P., Zatorsky R.A. New functions defined by rising factorials, and its properties. Bukovyna Math. J. 2013, 1 (1-2), 28-33. (in Ukrainian)
  9. Jordan C. Calculus of Finite Differences. Chelsea Publishing, New York, 1939.
  10. Kelly A., Nagy B. Reactive nonholonomic trajectory generation via parametric optimal control the international. J. Robot. Res. 2003, 22 (7-8), 583-601. doi: 10.1177/02783649030227008
  11. Kenmoe M.B., Phien H.N., Kiselev M.N., Fai L.C. Effects of colored noise on Landau-Zener transitions: two and three-level systems. Phys. Rev. B. 2013, 87 (22), 224301.1-224301.18. doi: 10.1103/PhysRevB.87.224301
  12. Kimia B.B., Frankel I., Popescu A.-M. Euler Spiral for Shape Completion. Int. J. Comput. Vision. 2003, 54 (1/2/3), 159-182. doi: 10.1023/A:1023713602895
  13. Mathar R.J. Series Expansion of Generalized Fresnel Integrals, preprint (
  14. McCormick M.E., Kraemer D.R.B. Polynomial approximations for Fresnel integrals in diffraction analysis. Coast. Eng. 2002, 44, 261-266. doi: 10.1016/S0378-3839(01)00034-5
  15. Mittra R., Lee S.W. Analytical Techniques in the Theory of Guided Waves. Mir, Moscow, 1974. (in Russian)
  16. Monk K., Zou Q., Conley D. An approximate solution for the wave energy shadow in the lee of an array of overtopping type wave energy converters. Coast. Eng. 2013, 73, 115-132. doi: 10.1016/j.coastaleng.2012.10.004
  17. Oldham K.B., Myland J., Spanier J. An Atlas of Functions: with Equator, the Atlas Function Calculator. Springer, 2008.
  18. Walton D.J., Meek D.S. A controlled clothoid spline. Computers & Graphics 2005, 29, 353-363. doi: 10.1016/j.cag.2005.03.008


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