References
- Cavanagh , E. C. and Cook , B. D. 1979 . Numerical evaluation of Hankel transform via Gaussian–Laguerre polynomial expressions . IEEE Trans. Acoust. Speech Signal Process. , 27 : 361 – 366 .
- Eldabe , N. T. , El-Shahed , M. and Shawkey , M. 2004 . An extension of the finite Hankel transform . Appl. Math. Comput. , 151 : 713 – 717 .
- El-Shahed , M. and Shawkey , M. 2006 . Generalized finite Hankel transform . Integral Transforms Spec. Funct. , 17 : 39 – 44 .
- Erdelyi , A. 1954 . Tables of Integral Transforms , Edited by: Erdelyi , A. Vol. 2 , New York : McGraw-Hill .
- Higgins , W. E. and Munson , D. C. 1988 . A Hankel transform approach to tomographic image reconstruction . IEEE Trans. Med. Imag. , 7 : 59 – 72 .
- Krylov , A. S. and Korchagin , D. N. 2006 . Fast Hermite Projection Method . 4141 : 329 – 338 . Lecture Notes in Computer Science
- Krylov , A. S. and Liakishev , A. V. 1999 . Inequality for Hermite function norms on finite interval . Vestnik Moskovskogo Universiteta , 1 : 17 – 19 . (in Russian)
- Krylov , A. S. and Liakishev , A. V. 2000 . Numerical projection method for inverse Fourier transform and its application . Numer. Funct. Anal. Optim. , 21 : 205 – 216 .
- Krylov , A. S. and Vvedenskii , A. V. 1995 . Software package for radial distribution function calculation . J. Non-Cryst. Solids , 192 : 683 – 687 .
- Magni , V. , Cerullo , G. and De Silvestri . 1992 . High-accuracy fast Hankel transform for optical beam propagation . J. Opt. Soc. Amer. A , 9 : 2031 – 2033 .
- Mizotin , M. , Krylov , A. and Spiridonov , M. 2009 . Application of projection method for analysis of structural dependencies in surface layers of melts . Rasplavy , 5 : 18 – 26 .
- Mook , D. R. 1983 . An algorithm for numerical evaluation of Hankel and Abel transform . IEEE Trans. Acoust. Speech Signal Process. , 31 : 979 – 985 .
- Shah , P. C. and Thambynayagam , R. K.M. 2003 . Application of the finite Hankel transform to a diffusion problem without azimuthal symmetry . Transp. Porous Media , 14 : 247 – 264 .
- Sneddon , I. N. 1946 . On finite Hankel transforms . Philos. Mag. , 7 : 17 – 25 .
- Spiridonov , M. A. , Lavrov , A. V. and Popel , S. I. 1990 . Atomic ordering in surface layers of cuprum-germanium melts . Metals , 2 : 49 – 53 (in Russian) .
- Szogö , G. 1939 . Orthogonal Polynomials , New York : American Mathematical Society .
- Uhov , V. F. , Vatolin , N. A. , Gel'chinskiy , B. R. , Beskachko , V. and Esin , O. A. 1979 . Interparticle Interaction in Melted Metals , Vol. 3 , Moscow : Nauka . (in Russian)
- Vasin , V. V. and Ageev , A. N. 1993 . “ Ill-posed problems with a priori information ” . Vol. 4 , Ekaterinburg : Nauka . (in Russian)
- Veinshtein , B. K. 1956 . Structural Electronography , Vol. 1 , Moscow : Academy of Sciences . (in Russian)
- Yu , L. , Huang , M. , Chen , M. , Huang , W. and Zhu , Z. 1998 . Quasi-discrete Hankel transform . Opt. Lett. , 23 : 409 – 411 .
- Zhidomirov , G. M. 1988 . X-ray Spectral Method of Studying Amorphous Objects Structure: EXAFS Spectroscopy , Edited by: Zhidomirov , G. M. Vol. 6 , Novosibirsk : Nauka . (in Russian)