VI. On Polystelic Roots of certain Palms.

On the Uniform Distribution of the Roots of Certain Polynomials

Let with 0 < 6"', < ~ 2 n) <. .. < 6'n" < 7r. Put cj,, (x) _ II(x-x á). 1 Suppose 0 <_ A < B < 7r. 'e denote by N"(A, B) the number of the z9j in (A, B). Let-1 <-a < b <_ 1. Then we denote by M,,,(a, b) the number of the x i in (a, b). It does not matter whether the intervals (A, B) and (a, b) are open or closed. In a previous paper2Turán and the author proved that if wn(x) be a triangular matr...

Monodromy of Certain Painleve’–vi Transcendents and Reflection Groups

We study the global analytic properties of the solutions of a particular family of Painlevé VI equations with the parameters β = γ = 0, δ = 2 and 2α = (2μ−1)2 with arbitrary μ, 2μ 6∈ Z. We introduce a class of solutions having critical behaviour of algebraic type, and completely compute the structure of the analytic continuation of these solutions in terms of an auxiliary reflection group in th...

Extent and Longevity of the Seminal Roots of Certain Grasses.

Interlacing properties of roots of certain biorthogonal polynomials

In this paper we consider the biorthogonal polynomials with respect to the maesure e −x 4 −y 2 +2τ xy dxdy, and show that their roots interlace. The proof involves showing total nonnegativity of matrices related to Jacobi type matrices.

extensions, minimality and idempotents of certain semigroup compactifications

در فصل اول مقدمات و پیش نیازهای لازم برای فصل های بعدی فراهم گردیده است . در فصل دوم مساله توسیع مورد توجه قرار گرفته و ابتدا شرایطی که تحت آن از یک فشرده سازی نیم گروهی خاص یک زیرگروه نرمال بسته یک گروه به یک فشرده سازی متناظر با فشرده سازی اولیه برای گروه رسید مورد بررسی قرار گرفته و سپس ارتیاط بین ساختارهای مختلف روی این دو فشرده سازی از جمله ایده آل های مینیمال چپ و راست و... مورد بررسی قرا...