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Estimation of growths of composite entire and meromorphic functions using their generalized relative orders

Yıl 2016, Cilt: 4 Sayı: 3, 186 - 196, 30.09.2016

Öz



In this paper
we establish some newly developed results related to the growth rates of
composite entire and meromorphic functions on the basis of their generalized
relative orders and generalized relative lower orders.




Kaynakça

  • L. Bernal : Crecimiento relativo de funciones enteras. Contribución al estudio de lasfunciones enteras con13 ̆053'fndice 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.
  • W. Bergweiler : On the Nevanlinna characteristic of a composite function, Complex Variables, Vol. 10 (1988), pp. 225-236.
  • W. Bergweiler : On the growth rate of composite meromorphic functions, Complex Variables, Vol. 14 (1990), pp. 187-196.
  • D. Banerjee and S. Jana : Meromorphic functions of relative order (p,q), Soochow Journal of Mathematics, Vol. 33, No. 3 (July, 2007), pp. 343-357.
  • S. K. Datta and T. Biswas : Growth of entire functions based on relative order, Int. J. Pure Appl. Math., Vol. 51, No. 1 (2009), pp. 49-58.
  • S. K. Datta and T. Biswas : Relative order of composite entire functions and some related growth properties, Bull. Cal. Math. Soc., Vol.102, No.3 (2010) pp.259-266.
  • S. K. Datta , T. Biswas and R. Biswas : On relative order based growth estimates of entire functions, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol. 7, No. II (March, 2013), pp. 59-67.
  • S. K. Datta , T. Biswas and R. Biswas : Comparative growth properties of composite entire functions in the light of their relative order, The Mathematics Student, Vol. 82, No. 1-4 (2013), pp. 209-216.
  • S. K. Datta, T. Biswas and C. Biswas: Growth analysis of composite entire and meromorphic functions in the light of their relative orders, International Scholarly Research Notices, Volume 2014, Article ID538327, 6 pages; http://dx.doi.org/10.1155/2014/538327.
  • S. K. Datta, T. Biswas and C. Biswas: Measure of growth ratios of composite entire and meromorphic functions with a focus on relative order, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol. 8 No. IV (July, 2014), pp. 207-218.
  • W. K. Hayman : Meromorphic Functions, The Clarendon Press, Oxford (1964).
  • B. K. Lahiri and D. Banerjee : Relative order of entire and meromorphic functions, Proc. Nat. Acad. Sci. India Ser. A., Vol. 69(A), No. 3, (1999), pp.339-354.
  • D. Sato : On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., Vol. 69 (1963), pp. 411-414.
  • E. C. Titchmarsh : The theory of functions, 2nd edition, Oxford University Press, Oxford, 1939.
  • G. Valiron : Lectures on the general theory of integral functions, Chelsea Publishing Company, 1949.
Yıl 2016, Cilt: 4 Sayı: 3, 186 - 196, 30.09.2016

Öz

Kaynakça

  • L. Bernal : Crecimiento relativo de funciones enteras. Contribución al estudio de lasfunciones enteras con13 ̆053'fndice 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.
  • W. Bergweiler : On the Nevanlinna characteristic of a composite function, Complex Variables, Vol. 10 (1988), pp. 225-236.
  • W. Bergweiler : On the growth rate of composite meromorphic functions, Complex Variables, Vol. 14 (1990), pp. 187-196.
  • D. Banerjee and S. Jana : Meromorphic functions of relative order (p,q), Soochow Journal of Mathematics, Vol. 33, No. 3 (July, 2007), pp. 343-357.
  • S. K. Datta and T. Biswas : Growth of entire functions based on relative order, Int. J. Pure Appl. Math., Vol. 51, No. 1 (2009), pp. 49-58.
  • S. K. Datta and T. Biswas : Relative order of composite entire functions and some related growth properties, Bull. Cal. Math. Soc., Vol.102, No.3 (2010) pp.259-266.
  • S. K. Datta , T. Biswas and R. Biswas : On relative order based growth estimates of entire functions, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol. 7, No. II (March, 2013), pp. 59-67.
  • S. K. Datta , T. Biswas and R. Biswas : Comparative growth properties of composite entire functions in the light of their relative order, The Mathematics Student, Vol. 82, No. 1-4 (2013), pp. 209-216.
  • S. K. Datta, T. Biswas and C. Biswas: Growth analysis of composite entire and meromorphic functions in the light of their relative orders, International Scholarly Research Notices, Volume 2014, Article ID538327, 6 pages; http://dx.doi.org/10.1155/2014/538327.
  • S. K. Datta, T. Biswas and C. Biswas: Measure of growth ratios of composite entire and meromorphic functions with a focus on relative order, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol. 8 No. IV (July, 2014), pp. 207-218.
  • W. K. Hayman : Meromorphic Functions, The Clarendon Press, Oxford (1964).
  • B. K. Lahiri and D. Banerjee : Relative order of entire and meromorphic functions, Proc. Nat. Acad. Sci. India Ser. A., Vol. 69(A), No. 3, (1999), pp.339-354.
  • D. Sato : On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., Vol. 69 (1963), pp. 411-414.
  • E. C. Titchmarsh : The theory of functions, 2nd edition, Oxford University Press, Oxford, 1939.
  • G. Valiron : Lectures on the general theory of integral functions, Chelsea Publishing Company, 1949.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Sanjib Kumar Datta

Tanmay Biswas Bu kişi benim

Jinarul Haque Shaikh Bu kişi benim

Yayımlanma Tarihi 30 Eylül 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 3

Kaynak Göster

APA Datta, S. K., Biswas, T., & Shaikh, J. H. (2016). Estimation of growths of composite entire and meromorphic functions using their generalized relative orders. New Trends in Mathematical Sciences, 4(3), 186-196.
AMA Datta SK, Biswas T, Shaikh JH. Estimation of growths of composite entire and meromorphic functions using their generalized relative orders. New Trends in Mathematical Sciences. Eylül 2016;4(3):186-196.
Chicago Datta, Sanjib Kumar, Tanmay Biswas, ve Jinarul Haque Shaikh. “Estimation of Growths of Composite Entire and Meromorphic Functions Using Their Generalized Relative Orders”. New Trends in Mathematical Sciences 4, sy. 3 (Eylül 2016): 186-96.
EndNote Datta SK, Biswas T, Shaikh JH (01 Eylül 2016) Estimation of growths of composite entire and meromorphic functions using their generalized relative orders. New Trends in Mathematical Sciences 4 3 186–196.
IEEE S. K. Datta, T. Biswas, ve J. H. Shaikh, “Estimation of growths of composite entire and meromorphic functions using their generalized relative orders”, New Trends in Mathematical Sciences, c. 4, sy. 3, ss. 186–196, 2016.
ISNAD Datta, Sanjib Kumar vd. “Estimation of Growths of Composite Entire and Meromorphic Functions Using Their Generalized Relative Orders”. New Trends in Mathematical Sciences 4/3 (Eylül 2016), 186-196.
JAMA Datta SK, Biswas T, Shaikh JH. Estimation of growths of composite entire and meromorphic functions using their generalized relative orders. New Trends in Mathematical Sciences. 2016;4:186–196.
MLA Datta, Sanjib Kumar vd. “Estimation of Growths of Composite Entire and Meromorphic Functions Using Their Generalized Relative Orders”. New Trends in Mathematical Sciences, c. 4, sy. 3, 2016, ss. 186-9.
Vancouver Datta SK, Biswas T, Shaikh JH. Estimation of growths of composite entire and meromorphic functions using their generalized relative orders. New Trends in Mathematical Sciences. 2016;4(3):186-9.