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Relative φ-type and relative φ-weak type based some growth properties of entire functions of several complex variables

Tanmay Biswas|Ritam Biswas
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2020.03|한국수학논문집 (Korean Journal of Mathematics)|제28권 제1호|pp. 105-121

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참고문헌

키워드

Entire functionrelative $varphi $-ordervarphi $-lower ordervarphi $-typevarphi $-weak typevarphi $-lower typevarphi $-lower weak typeseveral complex variables.
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초록

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

Abstract

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

참고문헌 (15)

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  2. L. Bernal-Gonzaléz, "Crecimiento relativo de funciones enteras. Aportaciones al estudio de las funciones enteras con índice exponencial finito", Doctor, pp.1984
  3. L. Bernal, "Orden relative de crecimiento de funciones enteras", Collect. Math, 39, pp.209~229 (1988)
  4. D. Banerjee, "Relative order of entire functions of two complex variables", Int. J. Math. Sci. Eng. Appl, 1(1), pp.141~154 (2007)
  5. T. Biswas, "A note on relative φ-order and relative φ-lower order of entire functions of several complex variables", Ital. J. Pure Appl. Math (2020)
  6. B. C. Chakraborty, "Relative order of an entire function", J. Pure Math, 23, pp.151~158 (2006)
  7. I. Chyzhykov, "Finiteness of φ-order of solutions of linear differential equations in the unit disc", J. Anal. Math, 109, pp.163~198 (2009)
  8. R. K. Dutta, "Relative order of entire functions of several complex variables", Mat. Vesnik, 65(2), pp.222~233 (2013)
  9. B. A. Fuks, "Theory of analytic functions of several complex variables", ~ (1963)
  10. S. Halvarsson, "Growth properties of entire functions depending on a parameter", Ann. Polon. Math, 14(1), pp.71~96 (1996)
  11. C. O. Kiselman, "Order and type as measures of growth for convex or entire functions", Proc. London Math. Soc, 66(1), pp.152~186 (1993)
  12. Plurisubharmonic functions and potential theory in several com-plex variable, A contribution to the book project, Development of Mathematics (1950-2000), "C. O. Kiselman", ~
  13. B. K. Lahiri, "A note on relative order of entire functions", Bull. Calcutta Math. Soc, 97(3), pp.201~206 (2005)
  14. C. Roy, "On the relative order and lower relative order of an entire function", Bull. Calcutta Math. Soc, 102(1), pp.17~26 (2010)
  15. E. C. Titchmarsh, "The theory of functions" (1968), Oxford University Press

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