Developmental growth patterns of the filter-feeder pterosaur, Pterodaustro guiñazui A. Chinsamy*, L. Codorniú and L. Chiappe Zoology Department, University of Cape Town, Private Bag, Rondebosch 7701, Republic of South Africa Becario CONICET, Departamento de Geologı́a, Universidad Nacional de San Luis, Chacabuco y Pedernera, CP 5700 San Luis, Argentina The Dinosaur Institute, Natural History Muse...

It is well known from the classical theory of trigonometric series that the series (1) cannot converge except possibly for values of x in a set of zero Lebesgue measure . Our object is to discover how `thin' this set is for various types of sequence {nk } . The first result of this kind is due to P . Turan who proved, in 1941, that the series (1) converges absolutely in a set of positive logari...

Muhammed Emin Akkoyunlu, Yasemin Akkoyunlu, Ismail Necati Hakyemez, Fatma Erboy, Gulhan Arvas, Turan Aslan Bezmialem Vakif University, Department of Chest Diseases, Istanbul, Turkey Bezmialem Vakif University, Department of Infectious Diseases and Clinical Microbiology, Istanbul, Turkey Bursa Edicational and Rsearch Hospital, Department of Infectious Diseases and Clinical Microbiology, Bursa, T...

In this paper we compare the Turan process [5]-[6] with the Lehmer-Schur method [2]. We prove that the latter is better. 1. The Algorithms. We first describe the Turan process [5]-[6] which can be considered as an improvement of Graeffe's method. For the complex polynomial (1.1) P0(z)=t «/o*' = ° (fl/o G C, a00an0 * 0), 7=0 the method can be formulated as follows. Let (1.2) Pj(z) = Phx(sfz~)phx...