3250 



Integrals; etc. 



3250 



Integral formula, general. Tralles, J. G. 

 [1805] Berl. Ab. (1804-11) (Mth.) 85. 



formulae. Frullani, G. A. Sc. Lomb. Yen. 

 2 (1832) 257-. 



., general. Schlomilch, 0. Z. Mth. Ps. 



10 (1865) 152-. 

 , values of which can be expressed by 



quadrature of circle. Euler, L. Bll. Sc. 



Mth. As. 4 (1880) 207-. 



logarithm, constant. Popper, J. Wien Sb. 

 52 (1866) (Ab. 2) 527-. 



of product of rational function and logarithm 

 of such function. Besso, D. G. Mt. 25 

 (1887) 356-. 



. rational fraction, transcendent part. 

 Duarte Leite, . G. Teix. J. Sc. 7 (1886) 

 180-. 



in theory of trigonometric series, limiting 

 value. Du Bois-Eeymond, P. Bll. Sc. Mth. 

 As. 3 (1879) 343-. 



Integrals. Tail, P. G. OJ. Mth. 3 (1860) 



364-. 

 . Lommel, E. Grunert Arch. 38 (1862) 



206-. 

 . Skrivan, G. Schlomilch Z. 8 (1863) 



303-. 

 . Lindman, C. F. Stockh. Ofv. 39 (1882) 



No. 8, 3-. 

 , application of geometry. Lobatschewsky, 



N. A. (vi Adds.) Kazan Mm. Un. (1836) 



cah. 1, 1-. 



with closed curve of integration. Poch- 

 hammer, L. Mth. A. 37 (1890) 500-. 



common to several dynamical problems. 

 Bertrand, J. [1851-56] Liouv. J. Mth. 17 

 (1852) 121- ; C. E. 43 (1856) 829-. 



. Brioschi, F. Mil. G. I. 



Lomb. 8 (1856) 413- ; 9 (1856) 110-. 

 . Mainardi, G. Mil. G. I. 



Lomb. 9 (1856) 222-. 

 . Padova, E. Yen. I. At. 1 



(1882-83) 1005- 

 , conversion. Cockle, (Sir) J. Ph. Mg. 33 



(1867) 537-; 34 (1867) 442-. 

 , definition. Ascoli, G. A. Mt. 23 (1895) 



67-. 



, . Peano, G. A. Mt. 23 (1895) 153-. 

 , derivatives of which contain implicit func- 

 tions of one variable. Cauchy, A. L. C. E. 



12 (1841) 1029-. 



of differential systems. Riquier, C. Acta 

 Mth. 23 (1900) 203-. 



and differentials, sums and differences, 

 relations. Hansen, P. A. Leip. Ab. Mth. 

 Ps. 7 (1865) 505-. 



, evaluation. Cockle, (Sir) J. [1867] Manch. 



Lt. Ph. S. P. 7 (1868) 67-. 

 , expansion in series. Schulze, N. W. Grunert 



Arch. 1 (1841) 257-. 

 , formulae. Gaudard, J. A. Gen. Civ. 2 



(1873) 269-. 



of functions containing other variables. 

 Arzela, C. Bologna Ed. (1888-89) 16-. 



of sine and cosine found by converging 



series. Gudermann, C. Crelle J. 14 (1835) 

 182- ; 15 (1836) 100. 



general form. Schlomilch, 0. Z. Mth. 



Ps. 18 (1873) 315-. 



Integrals, higher, of composite functions. 



Oettinger, L. Grunert Arch. 20 (1853) 321-. 

 , improper, absolute convergence, explanation. 



Stolz, 0. Wien Ak. Sb. 107 (1898) (Ab. 2a) 



207- ; 108 (1899) (Ab. 2a) 1234-. 

 , indefinite. Eealis, S. N. A. Mth. 1 (1882) 



343-. 

 , . [Duarte Leite'] Pereira da Silva, . 



[1882-83] G. Teix. J. Sc. 4 (1883) 87- ; 5 



(*1883) 21-. 

 , , determination. Resal, H. A. N. A. 



Mth. 20 (1881) 529-. 

 , , evaluation of some of Euler's. Pdnek, 



A. Casopis 28 (1899) 97-, 177- ; Fschr. 



Mth. (1899) 2" 71. 

 , , reduction. Andreiewsky, . Bll. Sc. 



Mth. As. 2 (1878) 246-. 



. involving trigonometric functions. Schlo- 

 milch, O. Grunert Arch. 6 (1845) 200-. 

 , irrational algebraic, class. Piuma, C. M. 



(vm) Tortolini A. 4 (1861) 1-. 

 , , formulae rationalised. Fuss, N. [1826] 



St Pel. Ac. Sc. Mm. 11 (1830) 305-. 



of irrational functions. Aronhold, S. H. 

 Crelle J. 61 (1863) 95-. 



, general formulae. Stringham, 

 W. I. Am. J. Mth. 2 (1879) 188-. 



, limiting values. Tchebitchef, P. L. Liouv. 



J. Mth. 19 (1874) 157-. 

 , . Posse, K. A. Kharkov Mth. S. 



Com. (1885) 35-; Fschr. Mth. (1885) 171-. 

 , . Markov, A. A. St Pet. Ac. Sc. 



Bll. 2 (1895) 195- ; Fschr. Mth. (1895) 322-. 

 , , representation by integral residues. 



CebySev, P. St. Pet. Ac. Sc. Mm. (Bs.) 51 



(1885) (Suppl.) No. 4, 25 pp. ; Acta Mth. 9 



(1887) 35-. 

 , , two. Stolz, O. Wien Ak. Sb. 106 



(1897) (Ab. 2a) 453-. 

 , maxima and minima. Poisson, S. D. Par. 



S. Phlm. Bll. 3 (1804) 219-. 

 , . Gergonne, J. D. Gergonne A. 



Mth. 12 (1822-23) 1-. 

 , , criteria. Brunacci, V. [1805] 



Bologna Mm. I. It. 1 (1806) (Pte. 2) 191- ; 



2 (1810) (Pte. 2) 121-. 

 , , . Hesse, L. 0. Crelle J. 54 



(1857) 227-. 

 , , . Mayer, A. Crelle J. 69 



(1868) 238-. 

 _, , values. Loffler, A. Wien SB. 



34 (1859) 227-. 

 , mean value and Eolle's theorem. Schiff, P. 



Mosc. S. Sc. Bll. 78 (No. 2) (1893) 45-; 83 



(No. 1) (1893) 21-; Fschr. Mth. (1893-94) 



461-. 

 , partial. Delassus, E. Bll. Sc. Mth. 19 



(1895) 37-. 



and their periods, elementary theory. Marie, 

 M. C. E. 75 (1872) 524-; Par. EC. Pol. J. 

 Cah. 44 (1874) 1-. 



, reciprocal relation of certain. Kausler, C. F. 



[1808] St Pet. Ac. Sc. Mm. 3 (1811) 114-. 

 , reduction. Newman, F. W. Mathematician 



2 (1847) 28-, 87-. 

 , to more simple forms. Bronwin, B. 



Mathematician 1 (1845) 303- ; 2 (1847) 75-. 



269 



