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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 Articles
Authors

Dibyendu Banerjee

Nilkanta Mondal This is me

Publication Date April 1, 2016
Submission Date July 10, 2014
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.
AMA Banerjee D, Mondal N. ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS. Konuralp J. Math. April 2016;4(1):92-107.
Chicago Banerjee, Dibyendu, and Nilkanta Mondal. “ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS”. Konuralp Journal of Mathematics 4, no. 1 (April 2016): 92-107.
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 D. Banerjee and N. Mondal, “ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS”, Konuralp J. Math., vol. 4, no. 1, pp. 92–107, 2016.
ISNAD Banerjee, Dibyendu - Mondal, Nilkanta. “ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS”. Konuralp Journal of Mathematics 4/1 (April 2016), 92-107.
JAMA 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, 2016, pp. 92-107.
Vancouver Banerjee D, Mondal N. ON THE GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE FUNCTIONS. Konuralp J. Math. 2016;4(1):92-107.
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