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Bessel function
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== References == {{refbegin|30em}} * {{Abramowitz_Stegun_ref2|9|355|10|435}} * [[George B. Arfken|Arfken, George B.]] and Hans J. Weber, ''Mathematical Methods for Physicists'', 6th edition (Harcourt: San Diego, 2005). {{ISBN|0-12-059876-0}}. * {{cite journal |last1=Bessel |first1=Friedrich |title=Untersuchung des Theils der planetarischen Störungen, welcher aus der Bewegung der Sonne entsteht |journal=Berlin Abhandlungen |date=1824 |trans-title=Investigation of the part of the planetary disturbances which arise from the movement of the sun}} Reproduced as pages 84 to 109 in {{cite book |title=Abhandlungen von Friedrich Wilhelm Bessel |date=1875 |publisher=Engelmann |location=Leipzig |url=https://play.google.com/store/books/details?id=Un4EAAAAYAAJ}} [https://drive.google.com/file/d/1W-z4BNN4s7nfGC9IbCkhQksHzGQG-wox/view?usp=sharing English translation of the text]. * Bowman, Frank ''Introduction to Bessel Functions'' (Dover: New York, 1958). {{ISBN|0-486-60462-4}}. * {{cite book |last1=Gil |first1=A. |last2=Segura |first2=J. |last3=Temme |first3=N. M. |year=2007 |title=Numerical methods for special functions |publisher=Society for Industrial and Applied Mathematics}} * {{citation |title=ZEBEC: A mathematical software package for computing simple zeros of Bessel functions of real order and complex argument |journal=Computer Physics Communications |volume=113 |issue=2–3 |pages=220–238 |year=1998 |doi=10.1016/S0010-4655(98)00064-2 |first1=P. |last1=Kravanja |first2=O. |last2=Ragos |first3=M.N. |last3=Vrahatis |first4=F.A. |last4=Zafiropoulos |bibcode=1998CoPhC.113..220K |author-link=P. Kravanja}} * {{cite journal |last1=Mie |first1=G. |author-link=Gustav Mie |year=1908 |title=Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen |journal=Annalen der Physik |volume=25 |issue=3 |page=377 |doi=10.1002/andp.19083300302 |bibcode=1908AnP...330..377M |doi-access=free}} * {{dlmf|first=F. W. J. |last=Olver|authorlink=Frank W. J. Olver|first2=L. C. |last2=Maximon|id=10}}. * {{Citation |last1=Press |first1=W. H. |author-link=William H. Press |last2=Teukolsky |first2=S. A. |last3=Vetterling |first3=W. T. |last4=Flannery |first4=B. P. |year=2007 |title=Numerical Recipes: The Art of Scientific Computing |edition=3rd |publisher=Cambridge University Press |location=New York |isbn=978-0-521-88068-8 |chapter=Section 6.5. Bessel Functions of Integer Order |chapter-url=http://numerical.recipes/book/book.html |access-date=2022-09-28 |archive-date=2021-02-03 |archive-url=https://web.archive.org/web/20210203001225/http://numerical.recipes/book/book.html |url-status=dead }}. * B Spain, M. G. Smith, ''[https://books.google.com/books?id=kYgZAQAAIAAJ&q=Bessel Functions of mathematical physics]'', Van Nostrand Reinhold Company, London, 1970. Chapter 9 deals with Bessel functions. * N. M. Temme, ''Special Functions. An Introduction to the Classical Functions of Mathematical Physics'', John Wiley and Sons, Inc., New York, 1996. {{ISBN|0-471-11313-1}}. Chapter 9 deals with Bessel functions. * [[G. N. Watson|Watson, G. N.]], ''A Treatise on the Theory of Bessel Functions, Second Edition'', (1995) Cambridge University Press. {{ISBN|0-521-48391-3}}. * {{citation |last=Weber |first=Heinrich |author-link=Heinrich Friedrich Weber |title=Ueber eine Darstellung willkürlicher Functionen durch Bessel'sche Functionen |journal=Mathematische Annalen |volume=6 |issue=2 |pages=146–161 |year=1873 |doi=10.1007/BF01443190 |s2cid=122409461}}. {{refend}}
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