DOI QR코드

DOI QR Code

RELATIVE 𝜑-TYPE AND RELATIVE 𝜑-WEAK TYPE BASED SOME GROWTH PROPERTIES OF ENTIRE FUNCTIONS OF SEVERAL COMPLEX VARIABLES

  • 투고 : 2019.11.21
  • 심사 : 2020.02.21
  • 발행 : 2020.03.30

초록

The principal objective of this paper is to introduce the ideas of relative 𝜑-type, relative 𝜑-weak type of entire functions of several complex variables and study some growth properties concerning them.

키워드

참고문헌

  1. A. K. Agarwal, On the properties of entire function of two complex variables, Canadian J. Math., 20 (1968), 51-57. https://doi.org/10.4153/CJM-1968-007-3
  2. L. Bernal-Gonzalez, Crecimiento relativo de funciones enteras. Aportaciones al estudio de las funciones enteras con indice exponencial finito, Doctoral Thesis, 1984, Universidad de Sevilla, Spain.
  3. L. Bernal, Orden relative de crecimiento de funciones enteras, Collect. Math. 39 (1988), 209-229.
  4. D. Banerjee and R. K. Dutta, Relative order of entire functions of two complex variables, Int. J. Math. Sci. Eng. Appl. 1 (1) (2007), 141-154.
  5. T. Biswas and R. Biswas, A note on relative '-order and relative '-lower order of entire functions of several complex variables, Ital. J. Pure Appl. Math., Accepted for publication and to appear in 2020.
  6. B. C. Chakraborty and C. Roy, Relative order of an entire function, J. Pure Math. 23 (2006), 151-158.
  7. I. Chyzhykov, J. Heittokangas and J. Rattya, Finiteness of ' -order of solutions of linear differential equations in the unit disc, J. Anal. Math. 109 (2009), 163-198. https://doi.org/10.1007/s11854-009-0030-3
  8. R. K. Dutta, Relative order of entire functions of several complex variables, Mat. Vesnik, 65 (2) (2013), 222-233.
  9. B. A. Fuks, Theory of analytic functions of several complex variables, (1963), Moscow.
  10. S. Halvarsson, Growth properties of entire functions depending on a parameter, Ann. Polon. Math. 14 (1) (1996), 71-96. https://doi.org/10.4064/ap-64-1-71-96
  11. C. O. Kiselman, Order and type as measures of growth for convex or entire functions, Proc. London Math. Soc. 66 (1) (1993), 152-186. https://doi.org/10.1112/plms/s3-66.1.152
  12. C. O. Kiselman, Plurisubharmonic functions and potential theory in several complex variable, A contribution to the book project, Development of Mathematics (1950-2000), edited by Jean-Paul Pier.
  13. B. K. Lahiri and D. Banerjee, A note on relative order of entire functions, Bull. Calcutta Math. Soc. 97 (3) (2005), 201-206.
  14. C. Roy, On the relative order and lower relative order of an entire function, Bull. Calcutta Math. Soc. 102 (1) (2010), 17-26.
  15. E.C. Titchmarsh, The theory of functions, 2nd ed., Oxford University Press, Oxford (1968).