3260 



Definite Integrals (simple) 



3260 



Cauchy's formula. Pendlebury, E, Mess. Mth. 



5 (1871) 30-. 



methods, modification. Richelot, F. J. 

 Crelle J. 42 (1851) 32-. 



theorem, demonstration. Goursat, E. 

 Stockh. Ak. Hndl. Bh. 9 (1884-85) No. 5, 



6 pp. 



, , elementary. Folk, M. Bll. Sc. 



. Mth. As. 7 (1883) 137-. 

 Cebysev, P., last mathematical discussion with. 



Grave, D. St Pet. Ac. Sc. Bll. 2 (1895) 131-. 

 Circular definite integrals. Lommel,E. Grunert 



Arch. 37 (1861) 349-. 

 Class. Cellerier, C. Liouv. J. Mth. 8 (1843) 



255-. 



. Arndt, F. Grunert Arch. 10 (1847) 240-. 

 . Glaisher, J. W. L. Ph. Mg. 42 (1871) 



294-, 421-. 

 . Elliott, E. B. [1876] Mess. Mth. 6 (1877) 



66-. 



. Rawson, E. [1877] Mess. Mth. 7 (1878) 65-. 

 -. Terry, T. E. [1879] ~ "' ' ~ ~ " 



Mess. Mth. 15 (1886) 79-. 

 Glasg. Ph. S. P. 18 (1887) 



L. Mth. S. P. 11 



(1879-80) 29-. 

 . Tujisawle, E. 

 . Gibson, G. A. 



167-. 



. Pochhammer, L. Mth. A. 41 (1893) 167-. 

 Classes, two, theory. Mellin, H. Helsingf. 



Acta 22 (1897) No. 2, 75 pp. 

 Collection. Haan, D. Bierens de. Crelle J. 47 



(1854) 222-. 

 Comparison of transcendents. Boole, G. Phil. 



Trans. (1857) 745-. 

 Conception. Ascoli, G. Bm. B. Ac. Line. At. 



2 (1875) 863-. 

 Convergence. La ValUe-Poussin, C. J. de. 



Liouv. J. Mth. 8 (1892) 421-. 

 . Whittemore, J. K. A. Mth. 1 (1900) 189-. 

 Convergent definite integrals. Cavallin, C. B. S. 



Stockh. Ak. Hndl. Bh. 13 (Afd. 1) (1888) 



No. 3, 13 pp. 



Cubic integral, = / * 

 J ft 



Eawson, E. 

 201-. 



ft *J(a-x)(b-x)(c-x\ 

 Manch. Lt. Ph. S. Mm. 6 (1879) 



Definite integral connected with trinomial in- 

 tegrals. Liouville, J. Liouv. J. Mth. 20 

 (1855) 133-. 



expressing function. Liventsov, A. I. 

 (xn) Bee. Mth. (Moscou) 8 (1876) (Pt. 1) 285-. 



" range ' ' of conditioned variables. x ' . _ convergen 



Monro, C. J. [1866] QJ. Mth. 8 (1867) 278-. 

 sum of # + 1 terms of (a + 8) m . Catalan, 



E. C. Brux. Ac. Bll. 23 (1867) 402-. 



of Gompertz's function, with tables. 

 Makeham, W. M. I. Act. J. 17 (*1878) 305-, 

 445-. 



involving the function [a;] of the theory 



of numbers. Sonine, N. J. [1885] Fschr. 

 Mth. (1886) 257-. 



occurring in attraction of spheroids. 

 Ostrogradsky, M. A. [1828] St Pet. Ac. 

 Sc. Mm. 1 (1831) 39-. 



integrals with circular functions in numerator, , theory. 



and powers of variable only in denominator. 

 Glaisher, J. W. L. L. Mth. S. P. 4 (1871-73) 



Definite integrals connected with Bernoullian 



function. Glaisher, J. W. L. Mess. Mth. 



26 (1897) 152- ; 27 (1898) 20-. 

 numbers. Catalan, E. C. Liege 



S. Sc. Mm. 12 (1885) No. 2, 387- ; 13 (1886) 



188-. 

 . Carda, K. Mh. Mth. Ps. 



6 (1895) 121-. 

 Taylor's series. Elliott, E. B. 



Mess. Mth. 12 (1883) 144- ; 13 (1884) 103-. 

 containing hyperbolic functions, class. 



Hardy, G. H. Mess. Mth. 29 (1900) 25-. 

 trigonometric functions, expansion. 



Schlomilch, 0. Crelle J. 33 (1846) 353-. 

 deduced from theory of orthogonal sur- 

 faces. Lamf, G. Liouv. J. Mth. 3 (1838) 



552-. 

 and differentials, dependence. Frullani, 



G. [1818] (ix) Mod. S. It. Mm. 18 (Mt.) 



(1820) 458-. 

 and differentiation. Cayley, A. Camb. 



and Dubl. Mth. J. 2 (1847) 122-. 

 of discontinuous functions. Cauchy, A. L. 



C. B. 23 (1846) 537. 

 and discontinuous functions. Steen, A. 



(xn) Ts. Mth. 6 (1882) 65-. 

 . Escher,E.J. N.Arch. Wisk. 



18 (1891) 187- ; Fschr. Mth. (1891) 428-. 

 , elliptic functions, infinite series. Lerch, 



M. Prag Ceskc* Ak. Fr. Jos. Bz (Trida 2 



1 (1892) Art. 8, 11-, Art. 25, 6 pp. ; 2 (1893) 



Art. 23, 42 pp. ; 4 (1895) Art. 1, 55 pp. ; 



Fschr. Mth. (1892) 445; (1893-94) 791- ; 



(1895) 501-. 



expressed rationally by IT and log 2. 

 Schroder, E. D. Nf. Vh. (1890) (Th. 2) 8-. 



extending to every point of a closed curve. 



Cauchy, A. L. C. B. 23 (1846) 251-. 



with factor ifl 3 ?, cos (qx*>) 

 Bierens de Haan, D. 



(1873) 135-. 

 finite differences. Libri, G. Crelle 



J. 12 (1834) 240-. 

 given by Schlomilch, corrections. Unfer- 



dinger, F. Arch. Mth. Ps. 52 (1871) 252-. 

 with indefinite limits. Fade, H. Par. 



fee. Norm. A. 6 (1889) 349-. 

 infinite limits. La Vallee-Poussin, 



C. de. Brux. S. Sc. A. 16 (1892) (Pt. 1) 6-, 



(Pt. 2) 150-. 



Gilbert, P. Bll. 



Sc. Mth. 12 (1888) 66-. 

 , . Hocevar, F. Mh. Mth. 



Ps. 4 (1893) 177-. 



and infinite series. Kummer, E. E. 

 Crelle J. 17 (1837) 210-, 228-. 



. Malmsten, C. J. Crelle J. 38 



(1849) 1-. 

 (Kummer, 1837). Giuliani, G. 



G. Mt. 26 (1888) 234-. 

 , class, calculation. Stokes, G. G. 



Ph. Mg. 37 (1850) 68- ; Camb. Ph. S. T. 9 



(1856) 166-. 



Pringsheim, A. Mth. 



cos (qx*>), sin (qx p ). 

 (is.) Arch. Neerl. 8 



A. 37 (1890) 591-. 



integrable by quadrature or division of 



circle. Eichelot,F.J. Crelle J. 21 (1840) 293-. 



276 



