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Hankel transform
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== References == {{Reflist|30em}} {{div col|colwidth=30em}} * {{cite book |last=Gaskill |first=Jack D. |title=Linear Systems, Fourier Transforms, and Optics|publisher=John Wiley & Sons|location=New York|year=1978|isbn=978-0-471-29288-3}} * {{cite book |last1=Polyanin |first1=A. D. |last2=Manzhirov |first2=A. V. |title=Handbook of Integral Equations |publisher=CRC Press |location=Boca Raton |year=1998 |isbn=978-0-8493-2876-3 }} * {{cite book |last=Smythe|first=William R.|title=Static and Dynamic Electricity |edition=3rd|publisher=McGraw-Hill|location=New York|year=1968|pages=179–223}} * {{cite journal |last1=Offord |first1=A. C. |title=On Hankel transforms |journal=Proceedings of the London Mathematical Society |volume=39 |issue=2 |pages=49–67 |year=1935 |doi=10.1112/plms/s2-39.1.49 }} * {{cite journal |first1=G. |last1=Eason |first2=B. |last2=Noble |first3=I. N. |last3=Sneddon |title=On certain integrals of Lipschitz-Hankel type involving products of Bessel Functions |journal=[[Philosophical Transactions of the Royal Society A]] |year=1955 |volume=247 |issue=935 |pages=529–551 | jstor = 91565 |doi=10.1098/rsta.1955.0005|bibcode=1955RSPTA.247..529E }} *{{cite journal |first1=J. E. |last1=Kilpatrick |first2=Shigetoshi |last2=Katsura |first3=Yuji |last3=Inoue |title=Calculation of integrals of products of Bessel functions |journal=Mathematics of Computation |volume=21 |issue=99 |pages=407–412 |year=1967 |doi=10.1090/S0025-5718-67-99149-1 |doi-access=free }} * {{cite journal |first1=Robert F. |last1=MacKinnon |title=The asymptotic expansions of Hankel transforms and related integrals |journal=Mathematics of Computation |volume=26 |issue=118 |pages=515–527 |year=1972 |doi=10.1090/S0025-5718-1972-0308695-9 | jstor = 2003243|doi-access=free }} *{{cite journal |last1=Linz |first1=Peter |last2=Kropp |first2=T. 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A |volume=9 |issue=11 |pages=2031–2033 |year=1992 |doi=10.1364/JOSAA.9.002031 |bibcode = 1992JOSAA...9.2031M }} *{{cite journal |first1=A. |last1=Agnesi |first2=Giancarlo C. |last2=Reali |first3=G. |last3=Patrini |first4=A. |last4=Tomaselli |title=Numerical evaluation of the Hankel transform: remarks |journal=Journal of the Optical Society of America A |volume=10 |issue=9 |page=1872 |year=1993 |doi=10.1364/JOSAA.10.001872 |bibcode=1993JOSAA..10.1872A }} *{{cite journal |first1=Richard |last1=Barakat |title=Numerical evaluation of the zero-order Hankel transform using Filon quadrature philosophy |journal=Applied Mathematics Letters |volume=9 |issue=5 |pages=21–26 |mr=1415467 |year=1996 |doi=10.1016/0893-9659(96)00067-5 |doi-access=free }} *{{cite journal |first1=José A. |last1=Ferrari |first2=Daniel |last2=Perciante |first3=Alfredo |last3=Dubra |title=Fast Hankel transform of nth order |journal= J. Opt. Soc. Am. A |volume=16 |issue=10 |pages=2581–2582 |doi=10.1364/JOSAA.16.002581 |bibcode=1999JOSAA..16.2581F |year=1999 }} *{{cite journal |first1=Thomas |last1=Wieder |title=Algorithm 794: Numerical Hankel transform by the Fortran program HANKEL |journal=ACM Trans. Math. Softw. |volume=25 |issue=2 |pages=240–250 |year=1999 |doi=10.1145/317275.317284 |doi-access=free }} * {{cite journal |first1=Luc |last1=Knockaert |title=Fast Hankel transform by fast sine and cosine transforms: the Mellin connection |journal=IEEE Trans. Signal Process. |volume=48 |issue=6 |pages=1695–1701 |year=2000 |hdl=20.500.12860/4476 |doi=10.1109/78.845927 |url=https://scholar.archive.org/work/2klp6tigojbgppayv6tgjxeu5m |bibcode=2000ITSP...48.1695K |citeseerx=10.1.1.721.1633 }} *{{cite journal |first1=D. W. |last1=Zhang |first2=X.-C. |last2=Yuan |first3=N. Q. |last3=Ngo |first4=P. |last4=Shum |title=Fast Hankel transform and its application for studying the propagation of cylindrical electromagnetic fields |journal=Opt. Express |volume=10 |issue=12 |pages=521–525 |year=2002 |doi=10.1364/oe.10.000521 |pmid=19436390 |bibcode=2002OExpr..10..521Z |doi-access=free }} *{{cite journal |first1=Joanne |last1=Markham |first2=Jose-Angel |last2=Conchello |title=Numerical evaluation of Hankel transforms for oscillating functions |journal=J. Opt. Soc. Am. A |volume=20 |issue=4 |pages=621–630 |year=2003 |doi=10.1364/JOSAA.20.000621 |pmid=12683487 |bibcode = 2003JOSAA..20..621M }} *{{cite journal |first1=César D. |last1=Perciante |first2=José A. |last2=Ferrari |title=Fast Hankel transform of nth order with improved performance |journal=J. Opt. Soc. Am. A |volume=21 |number=9 |year=2004 |pages=1811–2 |doi=10.1364/JOSAA.21.001811 |pmid=15384449 |bibcode=2004JOSAA..21.1811P }} * {{cite journal |first1=Manuel |last1=Gizar-Sicairos |first2=Julio C. |last2=Guitierrez-Vega |title=Computation of quasi-discrete Hankel transform of integer order for propagating optical wave fields |journal=J. Opt. Soc. Am. A |volume=21 |issue=1 |year=2004 |pages=53–58 |doi=10.1364/JOSAA.21.000053 |pmid=14725397 |bibcode = 2004JOSAA..21...53G }} *{{cite journal |first1=Charles |last1=Cerjan |title=The Zernike-Bessel representation and its application to Hankel transforms |journal=J. Opt. Soc. Am. A |volume=24 |issue=6 |doi=10.1364/JOSAA.24.001609 |pages=1609–1616 |year=2007 |pmid=17491628 |bibcode=2007JOSAA..24.1609C |url=https://zenodo.org/record/894588 }} {{div col end}} {{Authority control}} [[Category:Integral transforms]]
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