A treatise on the theory of Bessel functions, by G. N. Watson.

BIBLIOGRAPHY 775 Neue Entwickelungen fiber die Bessel'schen Functionen (Jan. 25, 1892). Astr. Ntach. cxxix. (1892), col. 281-284. Weitere Entwickelungen liber die Bessel'schen Functionen (May 2, 1892). Astr. Nach. cxxx. (1892), col. 363-368. Uber die Absoluten Maxima der Bessel'schen Functionen. Programm, Oberrealschule, Kiel, 1892 (11 pp.). [Jahrbuch iiber die Fortschritte der Math. 1892, pp. 476-478.] MELLIN, R. HJ. Abriss einer einheitlichen Theorie der Gamma und der hypergeometrischen Funktionen (June, 1909). Math. Ann. LXVIII. (1910), pp. 305-337. MICHELL, J. H. The Wave Resistance of a Ship* (Aug. 9, 1897). Phil. Mlag. (5) XLV. (1898), pp. 106-123. MOLINS, H. Sur l'integration de l'equation differentielle d~k-~ ay (March 6, 1876). Me. de I'Acad. des Sci. de Toulouse, (7) vmii. (1876), pp. 167-189. MOORE, C. N. Note on the roots of Bessel functions. Annals of Math. (2) Ix. (1908), pp. 156-162. The summability of the developments in Bessel functions with applications (Sept. 11, 1908). Trans. American Math. Soc. x. (1909), pp. 391-435. On the uniform convergence of the developments in Bessel functions (Oct. 30, 1909). Trans. American Math. Soc. xII. (1911), pp. 181-206. A continuous function whose development in Bessel's functions is non-summable of certain orders (Sept. 4, 1916). Bulletin American Math. Soc. xxiv. (1918), pp. 145-149. On the summability of the developments in Bessel's functions (Sept. 4, 1917). Trans. American Math. Soc. xxi. (1920), pp. 107-156. MORTON, W. B. The Value of the Cylinder Function of the Second Kind for Small Arguments (Oct. 25, 1900). Nature, LXIII. (1901), p. 29. MURPHY, R. On the general properties of definite integrals (May 24, 1830). Trans. Camb. Phil. Soc. III. (1830), pp. 429-443. MYLLER-LEBEDEFF, W. See under Lebedeff. NAGAOKA, H. Diffraction Phenomena produced by an Aperture on a Curved Surface. Jozrnal of the Coll. of Sci. Imp. Univ. Japan, iv. (1891), pp. 301-322. NEUMANN, CARL GOTTFRIED+. Allgemeine Losung des Problems iuber den stationdren Temperaturzustand eines homogenen IKorpers, welcher von zwei nicht concentrischen Kugelfldchen begrenzt zird (Halle, 1862). Ueber das Gleichgewicht der Wiirme und das der Electricitat in einem Korper, welcher von zwei nicht concentrischen Kugelflachen begrenzt wird (1862). Journal fiir Math. LXII. (1863), pp. 36-49. Ueber die Entwickelung beliebig gegebener Functionen nach den Besselschen Functionen (March 28, 1867). Journal fur Mlath. LxvII. (1867), pp. 310-314. Theorie der Bessel'schen Functionen. Ein Analogon zur Theorie der Kugelfunctionen (Leipzig, 1867). Ueber die Entwicklungen einer Function nach Quadraten und Producten der FourierBessel'schen Functionen (Nov. 1869.) Leipziger Berichte, xxI. (1869), pp. 221-256. [Math. Ann. III. (1871), pp. 581-610.] Ueber Producte und Quadrate der Bessel'schen Functionen. Math. Ann. II. (1870), p. 192. Uber die nach Kreis-, IKugel- und Cylinder-functionen fortschreitenden Entwickelungen (Leipzig, 1881). Ueber gewisse particulare Integrale der Differentialgleichung AF= F insbesondere fiber die Entwickelung dieser particularen Integrale nach Kugelfunctionen (March 8, 1886). Leipziger Berichte, XxxvIII. (1886), pp. 75-82. * This paper contains some Tables of Bessel functions which were computed by B. A. Smith. f See also under Schlafli.

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Title
A treatise on the theory of Bessel functions, by G. N. Watson.
Author
Watson, G. N. (George Neville), 1886-
Canvas
Page 775
Publication
Cambridge, [Eng.]: The University press,
1922.
Subject terms
Bessel functions

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