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ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS

Year 2016, Volume: 4 Issue: 1, 92 - 107, 01.04.2016

Abstract

In this paper, we study some growth properties of generalized iterated entire functions to generalize some earlier results.

References

  • [1] Banerjee, D. and Mondal, N., Maximum modulus and maximum term of generalized iterated entire functions, Bulletin of the Allahabad Mathematical Society, Vol.27, No.1 (2012), 117- 131.
  • [2] Bergweiler, W., On the Nevanlinna characteristic of a composite function, Complex variables, Vol.10 (1988), 225-236.
  • [3] Bhoosnurmath, S. S. and Prabhaiah, V. S., On the generalized growth properties of composite entire and meromorphic functions, Journal of Indian Acad Math., Vol.29, No.2 (2007), 343- 369.
  • [4] Clunie, J., The composition of entire and meromorphic functions, Mathematical Essays ded- icated to Macintyre, Ohio Univ. Press (1970), 75-92.
  • [5] Hayman,W. K., Meromorphic functions, Oxford University Press,1964.
  • [6] Lahiri, B. K. and Banerjee, D. , Relative x points of entire functions, J. Indian Acad. Math., Vol.19, No.1 (1997), 87-97.
  • [7] Lahiri, I. and Dutta, S.K., On the growth of composite entire and meromorphic functions, Indian J. pure appl. Math., Vol.35, No.4 (2004), 525-543.
  • [8] Lin, Q. and Dai, C., On a conjecture of shah concerning small functions, Kexue Tongbao, Vol.31(1986), 220-224.
  • [9] Nino, K. and Suita, N., Growth of a composite function of entire functions, Kodai Math. J., Vol.3(1980), 374-379.
  • [10] Singh, A. P., Growth of composite entire functions, Kodai Math. J., Vol. 8 (1985), 99-102.
  • [11] Valron, G., Lectures on the general theory of integral functions, Chelsea Publishing Com- pany,(1949).

Year 2016, Volume: 4 Issue: 1, 92 - 107, 01.04.2016

Abstract

References

  • [1] Banerjee, D. and Mondal, N., Maximum modulus and maximum term of generalized iterated entire functions, Bulletin of the Allahabad Mathematical Society, Vol.27, No.1 (2012), 117- 131.
  • [2] Bergweiler, W., On the Nevanlinna characteristic of a composite function, Complex variables, Vol.10 (1988), 225-236.
  • [3] Bhoosnurmath, S. S. and Prabhaiah, V. S., On the generalized growth properties of composite entire and meromorphic functions, Journal of Indian Acad Math., Vol.29, No.2 (2007), 343- 369.
  • [4] Clunie, J., The composition of entire and meromorphic functions, Mathematical Essays ded- icated to Macintyre, Ohio Univ. Press (1970), 75-92.
  • [5] Hayman,W. K., Meromorphic functions, Oxford University Press,1964.
  • [6] Lahiri, B. K. and Banerjee, D. , Relative x points of entire functions, J. Indian Acad. Math., Vol.19, No.1 (1997), 87-97.
  • [7] Lahiri, I. and Dutta, S.K., On the growth of composite entire and meromorphic functions, Indian J. pure appl. Math., Vol.35, No.4 (2004), 525-543.
  • [8] Lin, Q. and Dai, C., On a conjecture of shah concerning small functions, Kexue Tongbao, Vol.31(1986), 220-224.
  • [9] Nino, K. and Suita, N., Growth of a composite function of entire functions, Kodai Math. J., Vol.3(1980), 374-379.
  • [10] Singh, A. P., Growth of composite entire functions, Kodai Math. J., Vol. 8 (1985), 99-102.
  • [11] Valron, G., Lectures on the general theory of integral functions, Chelsea Publishing Com- pany,(1949).
There are 11 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Dibyendu Banerjee

Nilkanta Mondal This is me

Submission Date July 10, 2014
Publication Date April 1, 2016
Published in Issue Year 2016 Volume: 4 Issue: 1

Cite

APA Banerjee, D., & Mondal, N. (2016). ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS. Konuralp Journal of Mathematics, 4(1), 92-107. https://izlik.org/JA73JU93LN
AMA 1.Banerjee D, Mondal N. ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS. Konuralp J. Math. 2016;4(1):92-107. https://izlik.org/JA73JU93LN
Chicago Banerjee, Dibyendu, and Nilkanta Mondal. 2016. “ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS”. Konuralp Journal of Mathematics 4 (1): 92-107. https://izlik.org/JA73JU93LN.
EndNote Banerjee D, Mondal N (April 1, 2016) ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS. Konuralp Journal of Mathematics 4 1 92–107.
IEEE [1]D. Banerjee and N. Mondal, “ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS”, Konuralp J. Math., vol. 4, no. 1, pp. 92–107, Apr. 2016, [Online]. Available: https://izlik.org/JA73JU93LN
ISNAD Banerjee, Dibyendu - Mondal, Nilkanta. “ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS”. Konuralp Journal of Mathematics 4/1 (April 1, 2016): 92-107. https://izlik.org/JA73JU93LN.
JAMA 1.Banerjee D, Mondal N. ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS. Konuralp J. Math. 2016;4:92–107.
MLA Banerjee, Dibyendu, and Nilkanta Mondal. “ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS”. Konuralp Journal of Mathematics, vol. 4, no. 1, Apr. 2016, pp. 92-107, https://izlik.org/JA73JU93LN.
Vancouver 1.Banerjee D, Mondal N. ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS. Konuralp J. Math. [Internet]. 2016 Apr. 1;4(1):92-107. Available from: https://izlik.org/JA73JU93LN
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