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Publication year : 2018 ✕Researcher : Fahreddin ABDULLAYEV ✕
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Prof. Dr. Fahreddin ABDULLAYEVFen Fakültesi
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Application of Faber Polynomials in Proving Combinatorial Identities

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

We study the possibility of application of Faber polynomials in proving some combinatorial identities. It is shown that the coefficients of Faber polynomials of mutually inverse conformal mappings generate a pair of mutually invertible relations. We prove two identities relating the coefficients of Faber polynomials and the coefficients of Laurent expansions of the corresponding conformal mappings. Some examples are presented.

Article 2018 Fen Fakültesi Ukrainian Mathematical Journal70 ( 2 ) 69 Views
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Polynomial Inequalities in Regions with Zero Interior Angles in the Bergman Space

Sebahattin BALCI | Meerim İmaş Kızı | Fahreddin ABDULLAYEV

We study the order of growth of the moduli of arbitrary algebraic polynomials in the weighted Bergman space A(p)(G, h), p > 0, in regions with zero interior angles at finitely many boundary points. We obtain estimates for algebraic polynomials in bounded regions with piecewise smooth boundary.

Article 2018 Fen Fakültesi Ukrainian Mathematical Journal70 ( 3 ) 50 Views
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Bernstein–Walsh type inequalities in unbounded regions with piecewise asymptotically conformal curve in the weighted Lebesgue space

Meerim İmaş Kızı | Fahreddin ABDULLAYEV

We have obtained the pointwise Bernstein–Walsh type estimation for algebraic polynomials in the unbounded regions with piecewise asymptotically conformal boundary, having exterior and interior zero angles, in the weighted Lebesgue space.

Article 2018 Fen Fakültesi Journal of Mathematical Sciences234 ( 1 ) 83 Views
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