Coefficient inequalities for a subclass of Bazilevič functions

• Autorzy: Fitri Sa’adatul , Marjono , Thomas Derek K. , Wibowo R. B. E.

Identyfikatory

DOI

10.1515/dema-2020-0040

• Języki publikacji: EN

Abstrakty

EN

Let f be analytic in D={z:|z| < 1} with f(z)=z+∑∞n=2anzn, and for α ≥ 0 and 0 < λ ≤ 1, let B1(α,λ) denote the subclass of Bazilevič functions satisfying (…) <λ for 0 < λ ≤ 1. We give sharp bounds for various coefficient problems when f ∈ B1(α,λ), thus extending recent work in the case λ = 1.

Słowa kluczowe

EN

univalent functions; Bazilevič function; coefficients; inverse; Fekete–Szegö; Hankel determinant

PL

funkcje jednolistne; funkcja Bazileviča; współczynniki; odwrotność; wyznacznik Hankela

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2020
• Tom: Vol. 53, nr 1
• Strony: 27--37
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Fitri Sa’adatul

• Department of Mathematics, Brawijaya University, Malang, Indonesia

autor

Marjono

• Department of Mathematics, Brawijaya University, Malang, Indonesia

autor

Thomas Derek K.

• Department of Mathematics, Swansea University, Swansea, United Kingdom

autor

Wibowo R. B. E.

• Department of Mathematics, Brawijaya University, Malang, Indonesia

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).