Abstract
In Geometric function theory, the Ma-Minda class of starlike functions has a unique place as it unifies various subclasses of starlike functions. There has been an vivid interplay between special functions and their geometric properties, like starlikeness. In this article, we establish certain special functionâs radius of Ma-Minda starlikness. As an application, we obtain conditions on parameters for these special functions to be in the Ma-Minda class. Further, we focus on certain convolution properties for the Ma-Minda class that are not done so far, and study their applications in radius problem. Finally, we prove a variational problem of Goluzin, namely, the region of variability for the Ma-Minda class. Our results simplify and generalize the already-known ones.
Acknowledgement
The authors would like to thank the editor and anonymous referees for their insightful comments to improve the earlier version of the article.
(Communicated by StanisĹawa Kanas)
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Š 2024 Mathematical Institute Slovak Academy of Sciences
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- Subordination properties and coefficient problems for a novel class of convex functions
- Certain radii problems for đ˘â(Ď) and special functions
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- On the von BahrâEsseen inequality for pairwise independent random vectors in Hilbert spaces with applications to mean convergence
- Large deviations for some dependent heavy tailed random sequences
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- In memory of Paolo
Articles in the same Issue
- Prof. RNDr. Gejza Wimmer, DrSc. â 3/4 C?
- On hyper (r, q)-Fibonacci polynomials
- The pointfree version of đc(X) via the ranges of functions
- On the x-coordinates of Pell equations that are products of two Pell numbers
- Subordination properties and coefficient problems for a novel class of convex functions
- Certain radii problems for đ˘â(Ď) and special functions
- On direct and inverse Poletsky inequalities with a tangential dilatation
- Fourth-order nonlinear strongly non-canonical delay differential equations: new oscillation criteria via canonical transform
- Hermite interpolation of type total degree associated with certain spaces of polynomials
- Decomposition in direct sum of seminormed vector spaces and MazurâUlam theorem
- A fixed point technique to the stability of Hadamard đ-hom-der in Banach algebras
- Compact subsets of CÎť,u(X)
- Variations of star selection principles on hyperspaces
- On lower density operators
- GrĂśbner bases in the mod 2 cohomology of oriented Grassmann manifolds GÍ 2t,3
- On the von BahrâEsseen inequality for pairwise independent random vectors in Hilbert spaces with applications to mean convergence
- Large deviations for some dependent heavy tailed random sequences
- Metric, stratifiable and uniform spaces of G-permutation degree
- In memory of Paolo