We study the asymptotic behavior of the zeros of polynomial solutions of a class of generalized Lamé differential equations, when their coefficients satisfy certain asymptotic conditions. The limit distribution is described by an equilibrium measure in presence of an external field, generated by charges at the singular points of the equation. Moreover, a case of non-positive charges is consider...

Breed differences for weight (CW), height (CH), and condition score (CS) were estimated from records (n = 12,188) of 2to 6-yr-old cows (n = 744) from Cycle IV of the U.S. Meat Animal Research Center’s Germplasm Evaluation (GPE) Program. Cows were produced from mating Angus and Hereford dams to Angus, Hereford, Charolais, Shorthorn, Galloway, Longhorn, Nellore, Piedmontese, and Salers sires. Sam...

FORMER PRESIDENTS J. H. VAN AMRINGE, 1889-1890, EMORY MCCLINTOCK, 1891-1894, G. W. HILL, 1895-1896, SIMON NEWCOMB, 1897-1898, R. S. WOODWARD, 1899-1900, E. H. MOORE, 1901-1902, T. S. FISKE, 1903-1904, W. F. OSGOOD, 1905-1906, H. S. WHITE, 1907-1908, MAXIME BÔCHER, 1909-1910, H. B. FINE, 1911-1912, E. B. VAN VLECK, 1913-1914, E. W. BROWN, 1915-1916, L. E. DICKSON, 1917-1918, FRANK MORLEY, 1919-1...

The propagator for a harmonic oscillator with general time-dependent mass and frequency matrices is constructed from the Van-Vleck/Morette formula. The explicit form of the classical action, and thus of the propagator, is found in terms of infinite series which are solutions to a set of differential equations. Those equations are found independently via the Hamilton-Jacobi equation, and by comp...