5620 Harmonic Analysis 



Series for function of elliptic coordinates. 

 Escary, . As. Fr. C. B. (1887) (Pt. 2) 

 63-. 



of roots of transcendental equation, repre- 

 sentation of arbitrary function by. Fujisau-a, 

 E. Tok. Coll. Sc. J. 2 (1889) 1-. 



Solar radiation, distribution on surface of 

 earth, and dependence on astronomical ele- 

 ments. Hargreaves, R. [1896] Camb. Ph. 

 S. T. 16 (1898) 58-. 



Spherical analysis. Eastwood, G. Camb. (M.) 

 Mth. M. 2 (I860) 163-, 186-, 271-, 301- ; 

 3 (1861) 78-. 



function P"(cos0), Dirichlet's integral ex- 

 pression for, and analogous form for cylin- 

 drical function J (x). Mehler, F. G. [1871] 

 Mth. A. 5 (1872) 141-. 



functions, differentials. Most, R. [1868] 

 Crelle J. 70 (1869) 163-. 



, geometric significance. Heine, E. Crelle 

 J. 68 (1868) 386-. 



, series, extension of theorem of Cantor's 



to. Neumann, C. G. Leip. Mth. Ps. B. 33 

 (1881) 1-; 35 (1883) 18-; Mth. A. 22 (1883) 

 406-. 



, proceeding by. Thome, W, L. Crelle 

 J. 66 (1866) 337-. 



, , with application to cylindrical 



functions. Bauer, G. Miinch. Ak. Sb. 5 



(1875) 247-. 

 , theory. Bruns, H. [1880] Crelle J. 



Mth. 90 (1881) 322-. 

 , , Sidler's. Schlafli, L. Ziir. Vjschr. 



8 (1863) 205-, 324-. 



harmonic analysis, definite integrals. Niven, 

 W. D. Phil. Trans. 170 (1880) 379-. 



, theorem. Darwin, G. H. Mess. Mth. 



6 (1877) 165-. 

 of nth order, general canonical form. 



Thomson, (Sir) W. B. A. Bp. 41 (1871) 



(Sect.) 25-. 



harmonics. Tail, P. G. [1871] Edinb. B. 

 S. P. 7 (1872) 589-. 



. Niven, W. D. [1877-78] Mess. Mth. 7 



(1878) 1-, 131-. 

 . Callandreau, O. C. E. 99 (1884) 



23-. 



. Beltrami, E. C. B. 110 (1890) 934-. 



. Dyson, F. W. QJ. Mth. 26 (1893) 



30-. 

 , canonical form. Clifford, W. K. B. A. 



Bp. 41 (1871) (Sect.) 10. 



, cases. Burnside, W. Mess. Mth. 14 

 (1885) 122-. 



of complex degree, with application to 

 physical problems. Hobson, E. W. [1887] 

 Camb. Ph. S. T. 14 (1889) 211-. 



2nd kind, expression in finite form. 



Bryan, G. H. Camb. Ph. S. P. 6 (1889) 

 293-. 



or Laplace's functions. Tallqvist, H. 

 Helsingf. Acta 26 (1900) No. 4, 87 pp. 



representing magnetic potential of earth. 



Schuster, A. B. A. Bp. (1898) 752-. 

 , systems. Hobson, E. W. L. Mth. S. P. 



22 (1891) 431-. 



, theory. Neumann, C. Leip. Mth. Ps. 

 Ab. 13 (1887) 401-. 



Equations of Physics 5630 



Spherical harmonics, theory. Beltrami, E. 

 C. B. 116 (1893) 181- ; Mil. I. Lomb. Bd. 29 



(1896) 793-. 



of unrestricted degree, order, and argu- 

 ment, type. Hobson, E. W. [1896] Phil. 

 Trans. (A) 187 (1897) 443-. 



and hyper-spherical functions, theory. 

 Neumann, C. Z. Mth. Ps. 12 (1867) 97-. 



Tesseral harmonics, functions connected with. 

 Leahy, A. H. B. S. P. 56 (1894) 45-. 



Toroidal functions. Basset, A. B. Am. J. Mth. 

 15 (1893) 287-. 



Zonal harmonics, expansion of elliptic inte- 

 grals by. Hargreaves, R. Mess. Mth. 26 



(1897) 89-. 



5630 Generalities on the differen- 

 tial equations of mathematical 

 physics. 



Branched (verzweigte) potentials in space. 



Sommerfeld, A. L. Mth. S. P. 28 (1897) 



395-. 

 Conjugate potential functions, generalisation. 



Appell, P. Mars. Fac. Sc. A. 2 (1892) 



53-. 

 Differential alternating functions in astronomy. 



Cauchy, A. L. C. B. 11 (1840) 297-, 377-, 



432-. 

 Equation in mathematical physics, integration. 



Carvallo, E. Par. S. Mth. Bll. 22 (1894) 



234-. 



of motion of heat in thin prism, complete 

 integration. Pagani, G. J/. Quetelet Cor. 

 Mth. 3 (1827) 237-. 



in theory of propagation of electricity. 

 Picard, E. Par. S. Mth. Bll. 22 (1894) 2-. 



Equations in conduction of heat. Sturm, J. C. 

 F. Liouv. J. Mth. 1 (1836) 373-. 



of dynamics. Boole, G. Phil. Trans. (1863) 

 485-. 



. Ball, (Sir) R. Aust. As. Bp. (1895) 



215-. 

 , fundamental. Janaud, . Arch. 



Mth. Ps. 67 (1882) 160-. 



mathematical physics. Poincare, H. 

 Palermo Cir. Mt. Bd. 8 (1894) 57-. 



. Steklov, V. A . Bee. Mth. (Moscou) 



19 (1897) 469 (bis)-. 



mechanics. Grosso, R. del. G. Mt. 4 

 (1866) 243-. 



motion, property. Poisson, S. D. Par. 



S. Phlm. Bll. (1816) 109-. 

 -physics, integration. Mathieu,E. Liouv. 



J. Mth. 17 (1872) 249-. 



for problems of oscillation. Abraham, M. 

 Mth. A. 52 (1899) 81-. 



sound transmission through tube, Pois- 



son's solution. Moon, R. [1866] B. S. P. 

 15 (1867) 306-. 



of thermodynamics, integrating factors. 

 Fliegner, A. Ziir. Vjschr. 40 (1895) 278-. 



vibrator affected by its own reflected 



vibrations, and analogous problems. Waals, 

 J. D. van der (jun.). Amst. Ak. Vs. 8 (1900) 

 638-; Amst. Ak. P. 2 (1900) 534-. 



404 



