Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
권호 표지
DOI QR코드

DOI QR Code

SUM AND PRODUCT THEOREMS OF (p, q)-𝜑 RELATIVE GOL'DBERG TYPE AND (p, q)-𝜑 RELATIVE GOL'DBERG WEAK TYPE OF ENTIRE FUNCTIONS OF SEVERAL COMPLEX VARIABLES

  • Received : 2020.08.15
  • Accepted : 2020.11.30
  • Published : 2020.12.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we established sum and product theorems connected to (p, q)-𝜑 relative Gol'dberg type and (p, q)-𝜑 relative Gol'dberg weak type of entire functions of several complex variables with respect to another one under somewhat different conditions.

Keywords

Acknowledgement

We are very much grateful to the Reviewers for their valuable suggestions to bring the paper in its present form.

References

  1. T. Biswas, Some results relating to (p, q)-th relative Gol'dberg order and (p, q)-relative Gol'dberg type of entire functions of several variables, J. Fract. Calc. Appl. 10 (2019)(2), 249-272.
  2. T. Biswas, Sum and product theorems relating to relative (p, q)-th Gol'dberg order, relative (p, q)-th Gol'dberg type and relative (p, q)-th Gol'dberg weak type of entire functions of several variables, J. Interdiscip. Math. 22 (2019) (1), 53-63. https://doi.org/10.1080/09720502.2018.1564581
  3. T. Biswas and R. Biswas, Sum and product theorems relating to (p, q)-ϕ relative Gol'dberg order and (p, q)-ϕ relative Gol'dberg lower order of entire functions of several variables, Uzbek Math. J. 2019 (1), 143-155.
  4. B. A. Fuks, Introduction to the heory of analytic functions of several complex variables, American Mathematical Soci., Providence, R. I., 1963.
  5. A. A. Gol'dberg, Elementary remarks on the formulas defining order and type of functions of several variables, Akad, Nank, Armjan S. S. R. Dokl 29 (1959), 145-151 (Russian).
  6. B. C. Mondal and C. Roy, Relative gol'dberg order of an entire function of several variables, Bull Cal. Math. Soc. 102 (2010) (4), 371-380.
  7. C. Roy, Some properties of entire functions in one and several complex vaiables, Ph.D. Thesis, University of Calcutta, 2010.