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On the growth estimates of entire functions of double complex variables

Yıl 2017, Cilt: 5 Sayı: 2, 252 - 272, 30.03.2017

Öz

Recently Datta et al. [6] introduced the idea of relative type and relative weak type of entire functions of two complex variables with respect to another entire function of two complex variables and prove some related growth properties of it. In this paper, further we study some growth properties of entire functions of two complex variables on the basis of their relative types and relative weak types as introduced by Datta et al [6].

Kaynakça

  • A. K. Agarwal : On the properties of entire function of two complex variables, Canadian Journal of Mathematics, Vol. 20 (1968), pp. 51-57.
  • L. Bernal : Crecimiento relativo de funciones enteras. Contribuci´on al estudio de lasfunciones enteras con´ındice exponencial finito, Doctoral Dissertation, University of Seville, Spain, 1984.
  • L. Bernal : Orden relative de crecimiento de funciones enteras, Collect. Math., Vol. 39 (1988), pp.209-229.
  • D. Banerjee and R. K. Datta : Relative order of entire functions of two complex variables, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol. 1, No. 1 (2007), pp. 141-154
  • S. K. Datta, T. Biswas and G. K. Mondal: A note on the relative order of entire functions of two complex variables, International Journal of Pure and Applied Mathematics (IJPAM), Vol. 101, No. 3 (2015), pp. 339-347.
  • S. K. Datta, T. Biswas and S. Bhattacharyya: On relative type and weak type of entire functions of two complex variables, Facta Universititatis series: Mathematics and Informatics, Accepted for publication (2016) and to appear.
  • A. B. Fuks : Theory of analytic functions of several complex variables, (1963), Moscow.
  • S. Halvarsson : Growth properties of entire functions depending on a parameter, Annales Polonici Mathematici, Vol. 14, No.1 (1996), pp. 71-96.
  • C. O. Kiselman : Order and type as measure of growth for convex or entire functions, Proc. Lond. Math. Soc., Vol. 66, No.3 (1993), pp. 152-186.
  • 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 Hean-Paul Pier.
  • B. K. Lahiri and D. Banerjee : A note on relative order of entire functions, Bull. Cal.Math. Soc. Vol. 97, No. 3 (2005), pp. 201-206.

Yıl 2017, Cilt: 5 Sayı: 2, 252 - 272, 30.03.2017

Öz

Kaynakça

  • A. K. Agarwal : On the properties of entire function of two complex variables, Canadian Journal of Mathematics, Vol. 20 (1968), pp. 51-57.
  • L. Bernal : Crecimiento relativo de funciones enteras. Contribuci´on al estudio de lasfunciones enteras con´ındice exponencial finito, Doctoral Dissertation, University of Seville, Spain, 1984.
  • L. Bernal : Orden relative de crecimiento de funciones enteras, Collect. Math., Vol. 39 (1988), pp.209-229.
  • D. Banerjee and R. K. Datta : Relative order of entire functions of two complex variables, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol. 1, No. 1 (2007), pp. 141-154
  • S. K. Datta, T. Biswas and G. K. Mondal: A note on the relative order of entire functions of two complex variables, International Journal of Pure and Applied Mathematics (IJPAM), Vol. 101, No. 3 (2015), pp. 339-347.
  • S. K. Datta, T. Biswas and S. Bhattacharyya: On relative type and weak type of entire functions of two complex variables, Facta Universititatis series: Mathematics and Informatics, Accepted for publication (2016) and to appear.
  • A. B. Fuks : Theory of analytic functions of several complex variables, (1963), Moscow.
  • S. Halvarsson : Growth properties of entire functions depending on a parameter, Annales Polonici Mathematici, Vol. 14, No.1 (1996), pp. 71-96.
  • C. O. Kiselman : Order and type as measure of growth for convex or entire functions, Proc. Lond. Math. Soc., Vol. 66, No.3 (1993), pp. 152-186.
  • 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 Hean-Paul Pier.
  • B. K. Lahiri and D. Banerjee : A note on relative order of entire functions, Bull. Cal.Math. Soc. Vol. 97, No. 3 (2005), pp. 201-206.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Sanjib Kumar Datta

Tanmay Biswas Bu kişi benim

Yayımlanma Tarihi 30 Mart 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 2

Kaynak Göster

APA Datta, S. K., & Biswas, T. (2017). On the growth estimates of entire functions of double complex variables. New Trends in Mathematical Sciences, 5(2), 252-272.
AMA Datta SK, Biswas T. On the growth estimates of entire functions of double complex variables. New Trends in Mathematical Sciences. Mart 2017;5(2):252-272.
Chicago Datta, Sanjib Kumar, ve Tanmay Biswas. “On the growth estimates of entire functions of double complex variables”. New Trends in Mathematical Sciences 5, sy. 2 (Mart 2017): 252-72.
EndNote Datta SK, Biswas T (01 Mart 2017) On the growth estimates of entire functions of double complex variables. New Trends in Mathematical Sciences 5 2 252–272.
IEEE S. K. Datta ve T. Biswas, “On the growth estimates of entire functions of double complex variables”, New Trends in Mathematical Sciences, c. 5, sy. 2, ss. 252–272, 2017.
ISNAD Datta, Sanjib Kumar - Biswas, Tanmay. “On the growth estimates of entire functions of double complex variables”. New Trends in Mathematical Sciences 5/2 (Mart2017), 252-272.
JAMA Datta SK, Biswas T. On the growth estimates of entire functions of double complex variables. New Trends in Mathematical Sciences. 2017;5:252–272.
MLA Datta, Sanjib Kumar ve Tanmay Biswas. “On the growth estimates of entire functions of double complex variables”. New Trends in Mathematical Sciences, c. 5, sy. 2, 2017, ss. 252-7.
Vancouver Datta SK, Biswas T. On the growth estimates of entire functions of double complex variables. New Trends in Mathematical Sciences. 2017;5(2):252-7.