Coefficient estimates for some certain subclasses of close-to-convex functions. (English) Zbl 1362.30026
Summary: In this paper, we determine coeffcient bounds for functions in certain suclasses of close-to-convex functions, which are introduced here by means of the non-homogeneous Cauchy-Euler equation of order \(\mathrm{m}\). Also, we give some corollaries as special cases.
MSC:
| 30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
| 33C45 | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) |
Keywords:
analytic functions; close-to-convex functions; coeffient estimates; non homogeneous Cauchy-Euler differential equationReferences:
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