References

  1. Bandura A., Skaskiv O. Analytic functions in the unit ball of bounded $\mathbf{L}$-index in joint variables and of bounded $L$-index in direction: a connection between these classes. Demonstr. Math. 2019, 52 (1), 82-87. doi: 10.1515/dema-2019-0008
  2. Bandura A., Skaskiv O. Functions analytic in a unit ball of bounded {$\mathbf{L}$}-index in joint variables. J. Math. Sci. 2017, 227 (1),1-12. doi: 10.1007/s10958-017-3570-6
  3. Bandura A., Skaskiv O. Sufficient conditions of boundedness of $\mathbf{L}$-index and analog of Hayman's Theorem for analytic functions in a ball. Stud. Univ. Babes-Bolyai Math. 2018, 63 (4), 483-501. doi: 10.24193/subbmath.2018.4.06
  4. Bandura A. I., Skaskiv O. B. Analytic functions in the unit ball of bounded $\mathbf{L}$-index: asymptotic and local properties. Mat. Stud. 2017, 48 (1), 37-73. doi: 10.15330/ms.48.1.37-73
  5. Bandura A., Skaskiv O. Entire functions of several variables of bounded index. Lviv: Publisher I.E. Chyzhykov, 2016, 128 p.
  6. Bandura A., Skaskiv O. Asymptotic estimates of entire functions of bounded $\mathbf{L}$-index in joint variables. Novi Sad J. Math. 2018, 48 (1), 103-116. doi: 10.30755/NSJOM.06997
  7. Bandura A., Petrechko N., Skaskiv O. Maximum modulus in a bidisc of analytic functions of bounded {$\mathbf{L}$}-index and an analogue of Hayman's theorem. Mat. Bohemica. 2018, 143 (4), 339-354. doi: 10.21136/MB.2017.0110-16
  8. Bandura A.I., Skaskiv O.B., Tsvigun V.L. Some characteristic properties of analytic functions in $\mathbb{D}\times\mathbb{C}$ of bounded $\mathbf{L}$-index in joint variables. Bukovyn. Mat. Zh. 2018, 6 (1-2), 21-31.
  9. Bandura A.I., Petrechko N.V., Skaskiv O.B. Analytic in a polydisc functions of bounded {$\mathbf{L}$}-index in joint variables. Mat. Stud. 2016, 46 (1), 72-80. doi: 10.15330/ms.46.1.72-80
  10. Bandura A.I., Skaskiv O.B. Partial logarithmic derivatives and distribution of zeros of analytic functions in the unit ball of bounded $\mathbf{L}$-index in joint variables. J. Math. Sci. 2019, 239 (1), 17-29. doi: 10.1007/s10958-019-04284-z (translation of Ukr. Matem. Visn. 2018, 15 (2), 177-193. (in Ukrainian))
  11. Bandura A.I., Skaskiv O.B. Exhaustion by balls and entire functions of bounded $\mathbf{L}$-index in joint variables. Ufa Math. J. 2019, 11 (1), 100-113. doi: 10.13108/2019-11-1-100
  12. Bandura A., Skaskiv O. Analog of Hayman's Theorem and its Application to Some System of Linear Partial Differential Equations. Zh. Mat. Fiz. Anal. Geom. 2019, 15 (2), 170-191. doi: 10.15407/mag15.02.170
  13. Bordulyak M.T. On the growth of entire solutions of linear differential equations. Mat. Stud. 2000, 13 (2), 219-223.
  14. Bordulyak M.T., Sheremeta M.M. Boundedness of $l$-index of analytic curves. Mat. Stud. 2011, 36 (2), 152-161.
  15. Hayman W.K. Differential inequalities and local valency. Pacific J. Math. 1973, 44 (1), 117-137.
  16. Heath L.F. Vector-valued entire functions of bounded index satisfying a differential equation. J. Res. Bur. Stand. 1978, 83 (1), 75-79.
  17. Kuzyk A. D., Sheremeta M. N. Entire functions of bounded $l$-distribution of values. Math. Notes. 1986, 39 (1), 3-8. doi: 10.1007/BF01647624 (translation of Mat. Zametki 1986, 39 (1), 3-13. (in Russian))
  18. Kuzyk A. D., Sheremeta, M. N. On entire functions, satisfying linear differential equations. Diff. equations. 1990, 26 (10), 1716-1722. (in Russian)
  19. Lepson B. Differential equations of infinite order, hyperdirichlet series and entire functions of bounded index. Proc. Sympos. Pure Math. 1968, 2 , 298-307.
  20. Patterson R.F., Nura, F. A characterization of holomorphic bivariate functions of bounded index. Math. Slovaca 2017, 67 (3), 731-736. doi: 10.1515/ms-2017-0005
  21. Nuray F., Patterson R.F. Vector-valued bivariate entire functions of bounded index satisfying a system of differential equations. Mat. Stud. 2018, 49 (1), 67-74. doi: 10.15330/ms.49.1.67-74
  22. Roy R., Shah S.M. Growth properties of vector entire functions satisfying differential equations. Indian J. Math. 1986, 28 (1), 25-35.
  23. Roy R., Shah S.M. Vector-valued entire functions satisfying a differential equation. J. Math. Anal. Appl. 1986, 116 (2), 349-362.
  24. Sheremeta M. Analytic functions of bounded index. VNTL Publishers, Lviv, 1999, 141 p.
  25. Sheremeta M. Boundedness of $l-{M}$-index of analytic curves. Visnyk of the Lviv Univ. Ser. Mech. Math. 2011, 75 , 226-231. (in Ukrainian)
  26. Sheremeta M. Geometric properties of analytic solutions of differential equations. Publisher I.E. Chyzhykov, Lviv, 2019, 164 p.
  27. Sheremeta Z., Sheremeta M. Boundedness $l$-index of analytic functions represented by power series. Visnyk of the Lviv Univ. Ser. Mech. Math. 2006, 66 , 208-213. (in Ukrainian)
  28. Sheremeta Z. M. Index boundedness of an entire solution of a differential equation. Mat. Stud. 2003, 19 (2), 208-212.
  29. Sheremeta Z.M. On the boundedness $l$-index of entire solution of some differential equation. Visnyk of the Lviv Univ. Ser. Mech. Math. 2004, 63 , 148-151.
  30. Sheremeta Z.M. Properties of derivatives for entire solution of some differential equation. Mat. Metodi Fiz.-Mekh.Polya. 2006, 49 (2), 80-85.
  31. Sheremeta Z. M., Sheremeta M. M. On the boundedness $l$-index of entire solutions of some differential equation. Dopov. Nats. Akad. Nauk Ukr. 2007, 2 , 31-36.
  32. Sheremeta Z.M., Sheremeta M.M. Properties of entire solutions of differential equations. Ukr. Math. J. 2006, 58 (12), 1924-1934. doi: 10.1007/s11253-006-0177-3
  33. Zabolotskyi M. V., Sheremeta, Z. M. On the boundedness of entire solution of some differential equation. Mat. Metodi Fiz.-Mekh. Polya. 2004, 47 (2), 181-185. (in Ukrainian)