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Some growth estimations based on $(p,q)$-$\varphi $ relative Gol'dberg type and $(p,q)$-$\varphi $ relative Gol'dberg weak type of entire functions of several complex variables

Tanmay Biswas|Ritam Biswas
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2020.09|한국수학논문집 (Korean Journal of Mathematics)|제28권 제3호|pp. 489-507

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참고문헌

키워드

(p$(p$q)$-$varphi $ relative Gol'dberg lower ordervarphi $ relative Gol'dberg typeEntire functions of several complex variablesvarphi $relative Gol'dberg orderq)$ -$varphi $ relative Gol'dberg weak type.
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초록

In this paper we discussed some growth properties of entire functions of several complex variables on the basis of $(p,q)$-$\varphi $ relative Gol'dberg type and $(p,q)$-$\varphi $ relative Gol'dberg weal type where $p$ , $q$ are positive integers and $\varphi (R):[0,+\infty )\rightarrow (0,+\infty )$ is a non-decreasing unbounded function.

Abstract

In this paper we discussed some growth properties of entire functions of several complex variables on the basis of $(p,q)$-$\varphi $ relative Gol'dberg type and $(p,q)$-$\varphi $ relative Gol'dberg weal type where $p$ , $q$ are positive integers and $\varphi (R):[0,+\infty )\rightarrow (0,+\infty )$ is a non-decreasing unbounded function.

참고문헌 (14)

  1. D. Banerjee, "(p; q)th Gol'dberg order of entire functions of several variables", Int. J. Math. Sci. Eng. Appl, 11(3), pp.185~201 (2017)
  2. 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(2), pp.249~272 (2019)
  3. 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(1), pp.53~63 (2019)
  4. T. 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., (1), pp.143~155 (2019)
  5. T. Biswas, "Some growth properties of entire functions of several complex variables on the basis of their (p; q)-φ relative Gol'dberg order and (p; q)-φ relative Gol'dberg lower order", Electron. J. Math. Anal. Appl, 8(1), pp.229~236 (2020)
  6. T. Biswas, "On some (p; q)-φ relative Gol'dberg type and (p; q)-φrelative Gol'dberg weak type based growth properties of entire functions of several complex variables", Ital. J. Pure Appl. Mat, 44, pp.403~414 (2020)
  7. S. K. Datta, "Study of Growth properties on the basis of generalised Gol'dberg order of composite entire functions of several complex variables", Int. J. Math. Sci. Eng. Appl, 5(5), pp.297~311 (2011)
  8. S.K. Datta, "Some study of the comparative growth rates on the ba-sis of generalised relative Gol'dberg order of composite entire functions of several complex variables", Int. J. Math. Sci. Eng. Appl., 5(5), pp.335~344 (2011)
  9. S.K. Datta, "Some study of the comparative growth properties on the basis of relative Gol'dberg order of composite entire functions of several complex variables", Int. J. Contemp. Math. Sci., 6(42), pp.2075~2082 (2011)
  10. B. A. Fuks, "Introduction to the theory of analytic functions of several complex variables", American Mathematical Society (1963)
  11. A. A. Gol'dberg, "Elementary remarks on the formulas defining order and type of functions of several variables", (Russian) Akad. Nauk Armjan. SSR Dokl., 29, pp.145~151 (1959)
  12. B. C. Mondal, "Relative Gol'dberg order of an entire function of several variables", Bull Calcutta Math. Soc, 102(4), pp.371~380 (2010)
  13. C. Roy, "Some properties of entire functions in one and several complex vaiables", Ph.D., pp.2010
  14. -φ order, "Adv. Difference Equ", 2014, 14~ (2014)

관련 논문AI추천

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 variablesChinmay Biswas, Tanmay Biswas강원경기수학회 · 한국수학논문집2020 · 제28권 제4호Relative φ-type and relative φ-weak type based some growth properties of entire functions of several complex variablesRitam Biswas, Tanmay Biswas강원경기수학회 · 한국수학논문집2020 · 제28권 제1호On some growth analysis of composite entire and meromorphic functions from the view point of their relative $(p,q)$-th type and relative $(p,q)$-th weak typeTanmay Biswas강원경기수학회 · 한국수학논문집2018 · 제26권 제1호Few Results in connection with Sum and Product Theorems of Relative (p, q)-φ order, relative (p, q)-φ Type and Relative (p, q)-φ Weak Type of Meromorphic Functions with respect to Entire FunctionsTanmay Biswas한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제4호Growth analysis of composite entire functions from the view point of relative $(p,q)$-th orderTanmay Biswas강원경기수학회 · 한국수학논문집2018 · 제26권 제3호Some results relating to sum and product theorems of relative $\left(p,q,t\right) L$-th order and relative $\left( p,q,t\right) L$-th type of entire functionsTanmay Biswas강원경기수학회 · 한국수학논문집2018 · 제26권 제2호

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