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

782 THEORY OF BESSEL FUNCTIONS SCHLAFLI, L. Sulle relazioni tra diversi integrali definiti che giovano ad esprimere la soluzione generale della equazione di Riccati. Ann. di Mat. (2) I. (1868), pp. 232-242. Einige Bemerkungen zu Herrn Neumann's Untersuchungen iiber die Bessel'schen Functionen (May 4, 1870). lfath. Ann. III. (1871), pp. 134-149. [With note by C. N. p. 149.] Sopra un teorema di Jacobi recato a forma piu generale ed applicata alla funzione cilindrica (Aug. 1871). Ann. di Mat. (2) v. (1873), pp. 199-205. Sull' uso delle linee lungo le quali il valore assoluto di una funzione e constante (Oct. 4, 1872). Ann. di Mat. (2) vI. (1875), pp. 1-20. Ueber die Convergenz der Entwicklung einer arbitraren Function f(x) nach den Bessel'schen Functionen Ja (1x\), Ja (A2x), J (13),..., wo.., W 2, 13,... die positiven Wurzeln der Gleichung Jo(3) vorstellen (Jan. 17, 1876). Math. Ann. x. (1876), pp. 137-142. SCHLOMILCH, 0. X. Note sur la variation des constantes arbitraires d'une integrale definie. Journal fiir Math. xxxIII. (1846), pp. 268-280. Analtische Studien, i. (Leipzig, 1848). Ueber die Bessel'schen Function. Zeitschrift fiir Math. und Phys. Ii. (1857), pp. 137 -165. SCHONHOLZER, J. J. Ueber die Auswerthung bestimmte Integrale mit Hulfe von Veranderungen des Integrationsweges (Dissertation, Bern, 1877). [Graf and Gubler, Einleitung in die Theorie der Bessel'schen Funktionen, II. (Bern, 1900).] SCHOTT, G. A. Electromagnetic Radiation (Cambridge, 1912). SCHWARZSCHILD, K. Die Beugung und Polarisation des Lichts durch einen Spalt. Math. Ann. LV. (1902), pp. 177-247. SCHWERD, F. M. Die Beugungserscheinungen aus den Fundamentalgesetzen der Undulationstheorie (Mannheim, 1835). SEARLE, J. H. C. On the propagation of waves in an atmosphere of varying density. Quarterly Journal, xxxix. (1908), pp. 51-66. SEGAR, H. W. On the roots of certain continuants. Messenger, xxII. (1893), pp. 171-181. SERRET, J. A. Note sur quelques formules de calcul integral. Journal de Math. viii. (1843), pp. 1-27. Memoire sur l'integration d'une equation differentielle a l'aide des diff6rentielles k indices quelconques (Sept. 4, 1843). Comptes Rendus, xvII. (1843), pp. 458-475; Journal de Math. Ix. (1844), pp. 193-216. SHARPE, H. J. On the Reflection of Sound at the Surface of a Paraboloid (Nov. 1874). Quarterly Journal, xv. (1877), pp. 1-8. On a differential equation. Messenger, x. (1881), pp. 174 —185; xI. (1882), pp. 41-44. On a transcendental differential equation. Messenger, XI. (1882), pp. 56-63. On a differential equation. Messenger, xIII. (1884), pp. 66-79. Note on Legendre's coefficients. Quarterly Journal, xxiv. (1890), pp. 383-386. On The Reflection of Sound at a Paraboloid (June 20, 1899). Proc. Carmb. Phil. Soc. x. (1900), pp. 101-136. SHEPPARD, W. F. On some expressions of a function of a single variable in terms of Bessel's functions. Quarterly Journal, xxIII. (1889), pp. 223-260. SIACCI, F. Sulla integrazione di una equazione differenziale e sulla equazione di Riccati (April 13, 1901). Napoli Rendiconto, (3) vII. (1901), pp. 139-143.

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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 782
Publication
Cambridge, [Eng.]: The University press,
1922.
Subject terms
Bessel functions

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