Korean J. Math. Vol. 28 No. 4 (2020) pp.819-845
DOI: https://doi.org/10.11568/kjm.2020.28.4.819

Sum and product theorems of $(p,q)$-$\varphi $ relative Gol'dberg type and $(p,q)$-$\varphi $ relative Gol'dberg weak type of entire functions of several complex variables

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Published: Dec 30, 2020
Keywords:
$(p, q)$-$\varphi $ relative Gol'dberg order, q)$-$\varphi $ relative Gol'dberg lower order, q)$-$\varphi $ relative Gol'dberg type, q)$-$\varphi $ relative Gol'dberg weak type, Property (G), Property (X)
Mathematics Subject Classification:
30D30, 30D35

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Tanmay Biswas
Research Scientist
Chinmay Biswas
Department of Mathematics Nabadwip Vidyasagar College, Nabadwip Dist.- Nadia, PIN-741302, West Bengal, India.

Abstract

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


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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. Google Scholar

[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. Google Scholar

[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. Google Scholar

[4] B. A. Fuks, Introduction to the heory of analytic functions of several complex variables, American Mathematical Soci., Providence, R. I., 1963. Google Scholar

[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). Google Scholar

[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. Google Scholar

[7] C. Roy, Some properties of entire functions in one and several complex vaiables, Ph.D. Thesis, University of Calcutta, 2010. Google Scholar