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

Year 2017, Volume: 66 Issue: 2, 162 - 174, 01.08.2017
https://doi.org/10.1501/Commua1_0000000809

Abstract

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

References

  • 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
Year 2017, Volume: 66 Issue: 2, 162 - 174, 01.08.2017
https://doi.org/10.1501/Commua1_0000000809

Abstract

References

  • 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
There are 16 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Sanjıb Kumar Datta This is me

Tanmay Bıswas This is me

Publication Date August 1, 2017
Published in Issue Year 2017 Volume: 66 Issue: 2

Cite

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. August 2017;66(2):162-174. doi:10.1501/Commua1_0000000809
Chicago Datta, Sanjıb Kumar, and 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, no. 2 (August 2017): 162-74. https://doi.org/10.1501/Commua1_0000000809.
EndNote Datta SK, Bıswas T (August 1, 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 and 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., vol. 66, no. 2, pp. 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 (August 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 and 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, vol. 66, no. 2, 2017, pp. 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.

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