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Publisher : Springer ✕Researcher : Dağıstan ŞİMŞEK ✕

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Prof. Dr. Dağıstan ŞİMŞEKFen Fakültesi

On the recursive sequence xn+1=xn−(4k+3)1+∏t=02xn−(k+1)t−k

Dağıstan ŞİMŞEK | Fahreddin ABDULLAYEV

The solution of the difference equation (Formula presented.),..., where x−(4k+3), x−(4k+2),..., x−1, x0 ∈ (0, ∞) and k = 0, 1,..., is studied.

Article 2017 Fen Fakültesi Journal of Mathematical Sciences222 ( 6 ) 152 Views

Bernstein-Walsh-Type Polynomial Inequalities in Domains Bounded by Piecewise Asymptotically Conformal Curve with Nonzero Inner Angles in the Bergman Space

Fahreddin ABDULLAYEV | Dağıstan ŞİMŞEK

We continue our investigation of the order of growth of the modulus of an arbitrary algebraic polynomial in the Bergman weight space, where the contour and weight functions have certain singularities. In particular, we deduce a Bernstein-Walsh-type pointwise estimate for algebraic polynomials in unbounded domains with piecewise asymptotically conformal curves with nonzero inner angles in the Bergman weight space.

Article 2019 Fen Fakültesi Ukrainian Mathematical Journal71 ( 5 ) 63 Views

On the Recursive Sequence xn+1=xn−(k+1)1+xnxn−1…xn−k

Dağıstan ŞİMŞEK

A solution of the following difference equation is investigated:xn+1=xn−(k+1)1+xnxn−1…xn−k,n=0,1,2,… where x−(k+1); x−k; : : : ; x−1; x0 𝜖 (0;∞) and k = 0; 1; 2; : : :.

Article 2018 Fen Fakültesi Journal of Mathematical Sciences234 ( 1 ) 2697 Views

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