Radii of starlikeness and convexity of generalized k-Bessel functions
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Evrim Toklu
Abstract
The main purpose of this study is to determine the radii of starlikeness and convexity of the generalized k-Bessel functions for three different kinds of normalization in such a way that the resulting functions are analytic in the unit disk of the complex plane. The characterization of entire functions from Laguerre–Pólya class plays a significant role in this paper. Moreover, the interlacing properties of the zeros of the k-Bessel function and its derivative is also useful in the proof of the main results. By making use of the Euler–Rayleigh inequalities for the real zeros of the generalized k-Bessel function, we obtain some tight lower and upper bounds for the radii of starlikeness and convexity of order zero.
Acknowledgements
We would like to thank the reviewers who have contributed to the improving of the paper with their constructive recommendations.
References
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Articles in the same Issue
- Frontmatter
- Heaviside function as an activation function
- Krylov solvability under perturbations of abstract inverse linear problems
- Existence of solutions for a three-point Hadamard fractional resonant boundary value problem
- Positive solutions to mixed fractional p-Laplacian boundary value problems
- Maximum number of limit cycles for generalized Kukles differential system
- Stabilization of a 1-D transmission problem for the Rayleigh beam and string with localized frictional damping
- Certain multiplier results on Bp spaces
- Remarks on the Belitskii–Lyubich and discrete Markus–Yamabe conjectures
- On deferred statistical convergence of complex uncertain sequences
- Local existence and uniqueness of regular solutions to a Landau–Lifshitz–Bloch equation with applied current
- Converse Ohlin’s lemma for convex and strongly convex functions
- Approximate controllability results in α-norm for some partial functional integrodifferential equations with nonlocal initial conditions in Banach spaces
- Direct proofs of intrinsic properties of prox-regular sets in Hilbert spaces
- On the continuity properties of the Lp balls
- On L 𝔮 convergence of the Hamiltonian Monte Carlo
- Radii of starlikeness and convexity of generalized k-Bessel functions
- An iterative technique for solving split equality monotone variational inclusion and fixed point problems
