BibTex RIS Kaynak Göster

SOME RESULTS ON THE COMPARATIVE GROWTH ANALYSIS OF ENTIRE FUNCTIONS UNDER THE TREATMENT OF THEIR MAXIMUM TERMS AND GENERALIZED RELATIVE L* -ORDERS

Yıl 2017, Cilt: 66 Sayı: 2, 162 - 174, 01.08.2017
https://doi.org/10.1501/Commua1_0000000809

Öz

In this paper we estimate some comparative growth properties of composition of entire functions in terms of their maximum terms on the basis of their generalized relative L* order (respectively generalized relative L* lower order ) with respect to another entire function

Kaynakça

  • Bernal, L., Orden relative de crecimiento de funciones enteras, Collect. Math., Vol. 39 (1988), pp. 209-229.
  • Datta, S. K. and T. Biswas, Growth of entire functions based on relative order, International Journal of Pure and Applied Mathematics (IJPAM), Vol. 51, No. 1 (2009), pp.49-58.
  • Datta, S. K. and A. R. Maji, Relative order of entire functions in terms of their maximum terms, Int. Journal of Math. Analysis, Vol. 5, No. 43 (2011), pp. 2119-2126.
  • S. K. Datta, T. Biswas and S. Ali, Growth estinmates of composite entire functions based on maximum terms using their relative L-order, Advances in Applied Mathematical Analysis (AAMA), Vol.7, No. 2 (2012), pp. 119-134.
  • Datta, S. K., T. Biswas and J. H. Shaikh, Computation on the comparative growth analy- sis of entire functions depending on their generalized relative orders, Functional Analysis, Approximation and Computation, Vol. 8, No. 1(2016), pp. 39-49.
  • Datta, S. K., T. Biswas and A. Hoque, Some results on the growth analysis of entire functions using their maximum terms and relative L - orders, Journal of Mathematical Extension, Accepted for publication (2016) and to appear.
  • Lahiri, B. K. and D. Banerjee, Generalised relative order of entire functions, Proc. Nat. Acad. Sci. India, Vol. 72(A), No. IV (2002), pp. 351-271.
  • Singh, S. K. and G. P. Barker, Slow ly changing functions and their applications, Indian J. Math., Vol. 19, No. 1 (1977), pp 1-6.
  • Somasundaram, D. and R. Thamizharasi, A note on the entire functions of L-bounded index and L-type, Indian J. Pure Appl. Math., Vol. 19, No. 3 ( March 1988) , pp. 284-293.
  • Singh, A. P., On maximum term of composition of entire functions, Proc. Nat. Acad. Sci. India, Vol. 59(A), Part I(1989), pp. 103-115.
  • Singh, A. P. and M. S. Baloria, On maximum modulus and maximum term of composition of entire functions, Indian J. Pure Appl. Math., Vol. 22, No. 12 (1991) , pp. 1019-1026.
  • Titchmarsh, E.C., The theory of functions , 2nd ed. Oxford University Press, Oxford , 1968. [13] Valiron, G., Lectures on the general theory of integral functions, Chelsea Publishing Company, 1949.
  • Current address : Sanjib Kumar Datta: Department of Mathematics, University of Kalyani P.O.-Kalyani, Dist-Nadia, PIN- 741235, West Bengal, India.
  • E-mail address : sanjib_kr_datta@yahoo.co.in
  • Current address : Tanmay Biswas: Rajbari, Rabindrapalli, R. N. Tagore Road P.O.-Krishnagar, Dist-Nadia, PIN- 741101, West Bengal, India.
  • E-mail address : tanmaybiswas_math@rediffmail.com
Yıl 2017, Cilt: 66 Sayı: 2, 162 - 174, 01.08.2017
https://doi.org/10.1501/Commua1_0000000809

Öz

Kaynakça

  • Bernal, L., Orden relative de crecimiento de funciones enteras, Collect. Math., Vol. 39 (1988), pp. 209-229.
  • Datta, S. K. and T. Biswas, Growth of entire functions based on relative order, International Journal of Pure and Applied Mathematics (IJPAM), Vol. 51, No. 1 (2009), pp.49-58.
  • Datta, S. K. and A. R. Maji, Relative order of entire functions in terms of their maximum terms, Int. Journal of Math. Analysis, Vol. 5, No. 43 (2011), pp. 2119-2126.
  • S. K. Datta, T. Biswas and S. Ali, Growth estinmates of composite entire functions based on maximum terms using their relative L-order, Advances in Applied Mathematical Analysis (AAMA), Vol.7, No. 2 (2012), pp. 119-134.
  • Datta, S. K., T. Biswas and J. H. Shaikh, Computation on the comparative growth analy- sis of entire functions depending on their generalized relative orders, Functional Analysis, Approximation and Computation, Vol. 8, No. 1(2016), pp. 39-49.
  • Datta, S. K., T. Biswas and A. Hoque, Some results on the growth analysis of entire functions using their maximum terms and relative L - orders, Journal of Mathematical Extension, Accepted for publication (2016) and to appear.
  • Lahiri, B. K. and D. Banerjee, Generalised relative order of entire functions, Proc. Nat. Acad. Sci. India, Vol. 72(A), No. IV (2002), pp. 351-271.
  • Singh, S. K. and G. P. Barker, Slow ly changing functions and their applications, Indian J. Math., Vol. 19, No. 1 (1977), pp 1-6.
  • Somasundaram, D. and R. Thamizharasi, A note on the entire functions of L-bounded index and L-type, Indian J. Pure Appl. Math., Vol. 19, No. 3 ( March 1988) , pp. 284-293.
  • Singh, A. P., On maximum term of composition of entire functions, Proc. Nat. Acad. Sci. India, Vol. 59(A), Part I(1989), pp. 103-115.
  • Singh, A. P. and M. S. Baloria, On maximum modulus and maximum term of composition of entire functions, Indian J. Pure Appl. Math., Vol. 22, No. 12 (1991) , pp. 1019-1026.
  • Titchmarsh, E.C., The theory of functions , 2nd ed. Oxford University Press, Oxford , 1968. [13] Valiron, G., Lectures on the general theory of integral functions, Chelsea Publishing Company, 1949.
  • Current address : Sanjib Kumar Datta: Department of Mathematics, University of Kalyani P.O.-Kalyani, Dist-Nadia, PIN- 741235, West Bengal, India.
  • E-mail address : sanjib_kr_datta@yahoo.co.in
  • Current address : Tanmay Biswas: Rajbari, Rabindrapalli, R. N. Tagore Road P.O.-Krishnagar, Dist-Nadia, PIN- 741101, West Bengal, India.
  • E-mail address : tanmaybiswas_math@rediffmail.com
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Sanjıb Kumar Datta Bu kişi benim

Tanmay Bıswas Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 66 Sayı: 2

Kaynak Göster

APA Datta, S. K., & Bıswas, T. (2017). SOME RESULTS ON THE COMPARATIVE GROWTH ANALYSIS OF ENTIRE FUNCTIONS UNDER THE TREATMENT OF THEIR MAXIMUM TERMS AND GENERALIZED RELATIVE L* -ORDERS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(2), 162-174. https://doi.org/10.1501/Commua1_0000000809
AMA Datta SK, Bıswas T. SOME RESULTS ON THE COMPARATIVE GROWTH ANALYSIS OF ENTIRE FUNCTIONS UNDER THE TREATMENT OF THEIR MAXIMUM TERMS AND GENERALIZED RELATIVE L* -ORDERS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ağustos 2017;66(2):162-174. doi:10.1501/Commua1_0000000809
Chicago Datta, Sanjıb Kumar, ve Tanmay Bıswas. “SOME RESULTS ON THE COMPARATIVE GROWTH ANALYSIS OF ENTIRE FUNCTIONS UNDER THE TREATMENT OF THEIR MAXIMUM TERMS AND GENERALIZED RELATIVE L* -ORDERS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66, sy. 2 (Ağustos 2017): 162-74. https://doi.org/10.1501/Commua1_0000000809.
EndNote Datta SK, Bıswas T (01 Ağustos 2017) SOME RESULTS ON THE COMPARATIVE GROWTH ANALYSIS OF ENTIRE FUNCTIONS UNDER THE TREATMENT OF THEIR MAXIMUM TERMS AND GENERALIZED RELATIVE L* -ORDERS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 2 162–174.
IEEE S. K. Datta ve T. Bıswas, “SOME RESULTS ON THE COMPARATIVE GROWTH ANALYSIS OF ENTIRE FUNCTIONS UNDER THE TREATMENT OF THEIR MAXIMUM TERMS AND GENERALIZED RELATIVE L* -ORDERS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 66, sy. 2, ss. 162–174, 2017, doi: 10.1501/Commua1_0000000809.
ISNAD Datta, Sanjıb Kumar - Bıswas, Tanmay. “SOME RESULTS ON THE COMPARATIVE GROWTH ANALYSIS OF ENTIRE FUNCTIONS UNDER THE TREATMENT OF THEIR MAXIMUM TERMS AND GENERALIZED RELATIVE L* -ORDERS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/2 (Ağustos 2017), 162-174. https://doi.org/10.1501/Commua1_0000000809.
JAMA Datta SK, Bıswas T. SOME RESULTS ON THE COMPARATIVE GROWTH ANALYSIS OF ENTIRE FUNCTIONS UNDER THE TREATMENT OF THEIR MAXIMUM TERMS AND GENERALIZED RELATIVE L* -ORDERS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:162–174.
MLA Datta, Sanjıb Kumar ve Tanmay Bıswas. “SOME RESULTS ON THE COMPARATIVE GROWTH ANALYSIS OF ENTIRE FUNCTIONS UNDER THE TREATMENT OF THEIR MAXIMUM TERMS AND GENERALIZED RELATIVE L* -ORDERS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 66, sy. 2, 2017, ss. 162-74, doi:10.1501/Commua1_0000000809.
Vancouver Datta SK, Bıswas T. SOME RESULTS ON THE COMPARATIVE GROWTH ANALYSIS OF ENTIRE FUNCTIONS UNDER THE TREATMENT OF THEIR MAXIMUM TERMS AND GENERALIZED RELATIVE L* -ORDERS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(2):162-74.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.