Second order Hankel determinants for class of bounded turning functions defined by Sălăgean differential operator. (English) Zbl 07884005
Summary: In this paper, a brief study of certain properties of bounded turning functions is carried out. Furthermore, bound to the famous Fekete-Szegő functional \(H_2(1) =|a_3-ta^2_2|\), with \(t\) real and the Second Hankel Determinant \(H_2(2) =|a_2a_4-a^2_3|\) for functions of bounded turning of order \(\beta\) associated with Sălăgean differential operator are obtained using a succinct mathematical approach.
MSC:
| 34A12 | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations |
| 34A30 | Linear ordinary differential equations and systems |
| 34D20 | Stability of solutions to ordinary differential equations |
Keywords:
bounded turning functions; Sălăgean differential operator; Hankel determinant; Fekete-Szegő functionalReferences:
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