# Method for the Calculation of All Non-Multiple Zeros of an Analytic Function

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The higher-order nonlinear ordinary differential equation x(n)+ Î»p(t)f(x)=0, tâ‰¥a, is considered and the problem of counting the number of zeros of bounded nonoscillatory solutions x(t; Î») satisfying limtâ†’ âˆž x(t; Î») = 1 is studied. Tile results can be applied to a...

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In the spaces of analytic functions f in the unit disk with mixed norm and measure satisfying the Î”-condition, sharp necessary conditions on subsequences of zeros $\{ z_{n_k } (f)\} $ of the function f are obtained in terms of subsequences of numbers { n}. These conditions can be used to...

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Let M belong to one of the following classes of semigroups: rectangular bands, zero semigroups and free monoids, and let Î¸ be an endomorphism of M. We prove that if the Bruck-Reilly extension BR(MÂ¹, Î¸) is finitely presented then M is finitely generated.

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Asymptotic properties of solutions of the singular differential equation (p(t)u'(t))' = p(t)f(u(t)) are described. Here, f is Lipschitz continuous on â„ and has at least two zeros 0 and L > 0. The function p is continuous on (0,âˆž) and has a positive continuous derivative on (0,âˆž)...

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It is proved that any normal C1 surface developable in the sense of Shefel has zero extrinsic curvature in the sense of Pogorelov. A condition under which such a surface has a standard line of striction is obtained.

- Real zeros of some classes of analytic functions determined by a majorant of infinite order. Shamoyan, F. // Journal of Mathematical Sciences;Jan2011, Vol. 172 Issue 2, p276
Certain classes of entire functions or of functions analytic in the unit disk are treated; they are defined in terms of a radial majorant ? that grows sufficiently fast. Under certain assumptions on ?, we describe the zero sets for such a class that lie on R (respectively, on the segment [0,...

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It is shown that new inequalities for certain classes of entire functions can be obtained by applying the Schwarz lemma and its generalizations to specially constructed Blaschke products. In particular, for entire functions of exponential type whose zeros lie in the closed lower half-plane,...

- On the zeros of a class of analytic functions. Kokologiannaki, Chrysi G. // Journal of Concrete & Applicable Mathematics;Jul2007, Vol. 5 Issue 3, p213
The zeros of a class of analytic functions represented by a continued fraction are studied. The results are applied to the zeros of the mixed Bessel function Jv(z) + ï¿½Jv+1(z), ï¿½ ? C and improve a previously known result.