Representación integral de la función de Bessel de dos índices y un parámetro / Integral representation of the Bessel function of two indexes and one parameter
Palabras clave:
Función de Bessel de dos índices y un parámetro, representación integral, representación gráfica., Bessel function of two indexes and one parameter, integral representation, graphic representation.Resumen
Las aplicaciones de las funciones de Bessel en diferentes campos, tales como física, iluminación, procesos multifotón, procesos de dispersión, radiación, análisis de grandes estructuras, etc. han motivado el desarrollo de una serie de investigaciones relativas a ellas. En este trabajo se presenta la representación integral de la función de Bessel de dos índices y un parámetro, la cual es utilizada para generar varias gráficas que ilustran el comporta- miento de la función.
Abstract
The applications of the Bessel functions in various fields, such as, physics, illumination, multiphoton pro- cess, dispersion process, radiation, incommensurate structure analysis, etc., have lead the development of a series of investigations relative to them. In this paper the integral representation of the Bessel function of two indexes and one parameter is presented, the same is used in order of generate various graphics which show the behavior of the function.
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Referencias
Lebedev, N. N., Special Functions and Their Applications, Dover Publications Inc., New York, (1972).
Galué, L., Khajah, H. G. and Kalla, S.L., Multiplication theorems for generalized and double - index Bessel functions, Journal of Computational and Applied Mathematics, Vol. 118, Nos. 1-2, (2000), 143-150.
Dattoli, G., Migliorati, M. and Srivastava, H. M., Bessel summation formulae and operational methods, Journal of Computational and Applied Mathematics, Vol. 173, No. 1, (2005), 149-154.
Galué, L., A generalized Bessel function. Integral Transforms and Special Functions, Vol. 14, No. 5, (2003), 395-401.
Galué, L., Evaluation of some integrals involving generalized Bessel functions, Integral Transforms and Special Functions, Vol. 12, No. 3, (2001), 251-256.
Pathan, M. A., Goyal, A. N. and Shahwan, M. J. S., Lie- theoretic generating functions of multivaria- ble generalized Bessel functions, Reports on Mathematical physics, Vol. 39, No. 2, (1997), 249-254.
Dattoli, G., Torre, A. and Carpanese, M., The Hermite -- Bessel functions: a new point of view on the theory of the generalized Bessel functions, Radiation Physics and Chemistry, Vol. 51, No. 3, (1998), 221-228.
Dattoli, G., Chiccoli, C., Lorenzutta, S., Maino, G., Richetta, M. and Torre, A., Advances on the theory of generalized Bessel function and applications to multiphoton processes, Journal of Scienti- fic Computing, Vol. 8, No. 1, (1993), 69-109.
Dattoli, G., Giannessi, L., Mezi, L. and Torre, A., Theory of generalized Bessel functions, Journal II Nuovo Cimento, Vol. 105, No. 3, (1990), 327-348.
Castillo, G. y Galué, L., Teoremas para funciones de Bessel de dos índices y un parámetro, Revista Colombiana de Matemáticas, Vol. 44, No. 1 (2010), 65-78.
Galué, L. y Castillo, G., Algunos resultados sobre las funciones de Bessel de dos ín- dices y un parámetro, Revista Tecnocientífica URU, Vol. 1, No. 1, (2011), 59-71.
Reiss, H. R. and Krainov, V. P., Generalized Bessel functions in tunneling ionization, Journal of Physics Mathematical and General, Vol. 36, No. 20, (2003), 5575-5585.
Galué, L., Kapteyn series for generalized Bessel functions, International Journal of Applied Mathe- matics, Vol. 7, No. 2, (2001), 159-167.
Dattoli, G., Chiccoli, C., Lorenzutta, S., Maino, G., Richetta, M. and Torre, A., Advances on the theory of generalized Bessel function and applications to multiphoton processes. Journal of Scientific Computing, Vol. 8, No. 1,(1993), 69-109.
Dattoli, G., Giannessi, L., Mezi, L. and Torre, A., Theory of generalized Bessel functions. Journal II Nuovo Cimento, Vol.105, No. 3,(1990), 327-348.
Dattoli, G., Chiccoli, C., Lorenzutta, S., Maino, G. and Torre, A., Generalized Bessel functions of the Anger type and applications to physical problems, Journal of Mathematical Analysis and Appli- cations, Vol. 184, No. 2, (1994), 201-221.
Paciorek, W. A. and Chapuis, G., Generalized Bessel functions in incommensurate structure analysis, Foundations of Crystallography, Vol. 50, No. 2, (1994), 194-203.
Dattoli, G., Lorenzutta, S., Maino, G., Torre, A., Voykov, G. and Chiccoli, C., Theory of two-index Bessel functions and applications to physical problems. Journal of Mathematics and Physics, Vol. 35, (1994), 3636-3649.
Spiegel, M. R., Aná lisis de Fourier, McGraw-Hill, New York, (1976).
Dattoli, G., Torre, A., Lorenzutta, S. and Maino, G., Generalized forms of Bessel functions and Her- mite polynomials. Annals of Numerical Mathematics, Vol. 2, (1995), 211-232.
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