4030 



Logarithmic, Circular, Exponential Functions 



Hyperbolic functions, tables. Jordann, . 



Crelle J. 16 (1837) 196. 

 , , new. Forti, A. [1881] Z. Mth. Ps. 



27 (1882) (H.-lt. Ab.) 1-. 

 in teaching. Barbarin, P. Ens. Mth. 



2 (1900) 443-. 



, theorems. Cantor, M. Grunert Arch. 

 19 (1852) 88-. 



, theory. Barsotti, G. Lucca At. Ac. 15 



(1855) 441-. 



, , and application. Grunert, J. A. 

 Grunert Arch. 38 (1862) 48-. 



, , 'to resistance coefficients. 

 Gronau, J. F. W. Danzig Schr. 1 (1865) 

 (Heft 2) 79 pp. 



, , geometrical. Thomson, W. L. 

 Edinb. Mth. S. P. 17 (1899) 2-. 



logarithms. Formula I dx (- Lx)^, &c. 

 Ferroni, P. [1794] Siena At. Ac. 8 (1800) 



Indices in higher arithmetic and application to 



logarithmic tables. Agardh, J. M. Stockh. 



Ac. Hndl. (1838) 253-. 

 Infinite products, cases. Stern, M. A. Crelle 



J. 27 (1844) 279-. 

 Integral in dynamics, Euler. Dostor, G. J. 



N. A. Mth. 11 (1852) 45-. 



transcendentals (resolvable into factors of 



form e p W ( 1 ) , P(x) being a polynomial). 



Poincare, H. C. R. 95 (1882) 23-. 

 Integrals, class, expressible by logarithms 

 alone. Piuma, C. M. A. Mt. 7 (1875-76) 

 18-. 



of irrational algebraic functions expressible 

 by logarithms alone. Piuma, C. M. (vm) 

 Tortolini A. 4 (1861) 1-. 



. Aleksyeev, 



N. N. (xn) Rec. Mth. (Moscou) [1] (1866) 

 173. 



Irrationals \/2 and \/3 cannot be Napierian 

 logarithms of rational numbers. Schulten, 

 N. G. af (fil.) [1844] Helsingf. Acta 2 

 (1847) 681-. 



Logarithm, common, method of finding. Bitten- 

 house, D. [1795] Am. Ph. S. T. 4 (1799) 



, expansion, case. Schlomilch, 0. Leip. 



Mth. Ps. B. 39 (1887) 53-. 

 , expression for integral power. Walton, W. 



Camb. Mth. J. 2 (1841) 102-. 

 , isolated, to many decimal places. Lefort, F. 



N. A. Mth. 6 (1867) 308-. 



of n ! , when n is large. Lerch, M. 

 Casopis 24 (1895) 129- ; Fschr. Mth. (1895) 

 472. 



, Napierian, of a number and its integral 

 powers are incommensurable with number, 

 etc. Pollak, (Dr) . [1849] Haidinger B. 

 6 (1850) 95-. 



Logarithmic and algebraic functions giving 

 logarithmic integrals. Hill, C. J. D. Lund 

 Acta Un. 4 (1867) (Mth.) No. 1, 28 pp. 



4030 



Logarithmic calculation, errors from using pro- 

 portional parts. Vincent, A.J.H. Gergonne 

 A. Mth. 16 (1825-26) 19-. 



, circular and exponential functions, dif- 

 ferentials. Gruson, J. P. Berl. Ab. (1820- 

 21) 49-. 



and circular functions. Lambert, C. J. N. 

 A. Mth. 12 (1853) 302-. 



, development of properties from 



definite integral. Entleutner, A. F. [1878] 



Arch. Mth. Ps. 63 (1879) 225-. 

 , formulas relating to. Terquem, 0. 



N. A. Mth. 5 (1846) 79-, 151-, 221-, 349-, 



411- ; 7 (1848) 269-. 



series. Adams, Jas. Thomson A. 

 Ph. 4 (1822) 261-. 



exponential series, summation. Chessin, 



A. Am. J. Mth. 16 (1894) 164-, 290. 



formulas derived from a differential equa- 

 tion. Durege, . Schlomilch Z. 3 (1858) 

 241-. 



, rectification. Graves, J. T. [1828] Phil. 



Trans. (1829) 171-. 



functions, integration by. Dolbnia, I. P. 

 Rec. Mth. (Moscou) 18 (1896) 150-. 



integral and allied functions, calculation. 

 Bretschneider, C. A. Schlomilch Z. 6 (1861) 

 126-. 



, constant, numerical determination. 

 Arndt, F. Grunert Arch. 11 (1848) 315-. 



, , value. Lindman, C. F. Grunert 

 Arch. 29 (1857) 238-. 



, , . Oettinger, L. [1861] Crelle J. 



60 (1862) 375-. 

 , rth integral. Glaisher, J. W. L. [1882] 



Mess. Mth. 12 (1883) 120-. 

 , theory. Bretschneider, C. A. Crelle J. 



17 (1837) 257- 

 , . Schlomilch, 0. Grunert Arch. 9 



(1847) 5-, 307-. 

 , . Beez, R. Grunert Arch. 19 (1852) 



419-. 



integrals, 2nd order. Newman, F. W. 

 Camb. and Dubl. Mth. J. 2 (1847) 77-, 

 172-. 



Bierens de Haan, D. Amst. 



~/' 



Vs. Ak. 1 (1866) (Ntk.) 117-. 



and other series, connection. Grunert, J. A. 

 Grunert Arch. 8 (1846) 272-. 



problems. Thiele, T. N. Mth. Ts. 3 (1861) 

 145- ; 4 (1862) 17-, 93-, 145-. 



progressions. Barbette, E. Mathesis 18 

 (1898) 135-. 



series. Servois, J. F. Gergonne A. Mth. 

 2 (1811-12) 178-. 



. Dantscher, V. von. Mh. Mth. Ps. 6 



(1895) 390-. 

 , interpolation. Meikle, J. Assur. Mg. 6 



(*1857) 200-. 

 of Wronski. Dickstein, S. Prace Mt.- 



Fiz. 4 (1893) 88-; Fschr. Mth. (1893-94) 



422. 



sines, construction of canon. Sang, E. 

 Edinb. R. S. P. 12 (1884) 601-. 



307 



u2 



