Open problems for entire functions of bounded index in direction

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2. A.I. Bandura, O.B. Skaskiv, Sufficient sets for boundedness $L$-index in direction for entire functions, Mat. Stud., 30 (2008), №2, 177–182.

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7. B. Lepson, Differential equations of infinite order, hyperdirichlet series and entire functions of bounded index, Proc. Sympos. Pure Math., V.2., Amer. Math. Soc.: Providence, Rhode Island, 1968, 298–307.

8. A.I. Bandura, A modified criterion of boundedness of L-index in direction, Mat. Stud., 39 (2013), №1, 99–102.

9. A.I. Bandura, Sufficient conditions of boundedness L-index in direction for entire functions with “planar” zeros of genus $p$, Mathem. bulletin SSS, 6 (2009), 44–49. (in Ukrainian)

10. A.I. Bandura, O.B. Skaskiv, Boundedness of $L$-index in direction of functions of the form $f(\langle z, m\rangle)$ and existence theorems, Mat. Stud., 41 (2014), №1, 45–52.