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GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE AND COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS

Year 2014, Volume: 2 Issue: 2, 70 - 75, 01.12.2014
https://izlik.org/JA28DX84BE

Abstract

In this paper we consider generalized iteration of entire functionsand prove some growth properties of generalized iterated entire functions andcomposition of entire and meromorphic functions under certain restrictions on(p,q) orders of functions

References

  • Banerjee, D. and Dutta, R. K., The growth of iterated entire functions, Journal of Indian Acad. Maths.Vol.30, No.2 (2008), 489-495.
  • Banerjee, D. and Jana, S., Comparative growth of maximum modulus and maximum term of iterated entire functions, Journal of Indian Acad. of Math., Vol.31, No.2 (2009), 351-360.
  • Banerjee, D. and Jana, S., On growth properties of iterated entire and composite entire and meromorphic functions, Journal of Indian Acad Math., Vol.32, No.1 (2010), 295-309.
  • Banerjee, D. and Dutta, R. K., On growth of iterated entire functions,Bulletin of Allahabad Mathematical Society, Vol.25, No.2 (2010), 333-340.
  • 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
  • Banerjee, D. and Mondal, N., Growth of generalized iterated entire functions, Bulletin of the Allahabad Mathematical Society, Vol.27,No.2 (2012), 239-254.
  • Bergweiler, W., Jank Gerhard and Volkmann Lutz, Wachstumsverhalten zusammengesetzter Funktionen, Results Math. 7 (1984), 35-53.
  • Bergweiler, W., On the Nevanlinna characteristic of a composite function, Complex variables, Vol.10 (1988), 225-236.
  • 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- 3
  • Clunie, J., The composition of entire and meromorphic functions, Mathematical Essays ded- icated to Macintyre, Ohio Univ. Press (1970), 75-92.
  • Hayman,W. K., Meromorphic functions, Oxford University Press,1964.
  • Lahiri, B. K. and Banerjee, D. , Relative fix points of entire functions, J. Indian Acad. Math., Vol.19, No.1 (1997), 87-97.
  • Lahiri, I., Growth of composite integral functions, Indian J. pure appl. Math., 35(4) (2004), 525-5
  • Sato,D., On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., 69 (1963), 411-414.
  • Singh, A. P., Growth of composite entire functions, Kodai Math. J., Vol 8 (1985), 99-102.
  • DEPARTMENT OF MATHEMATICS,VISVA-BHARATI,SANTINIKETAN-731235,INDIA
  • E-mail address: dibyendu192@rediffmail.com BALLAVPUR R.G.S.VIDYAPITH,BALLAVPUR, RANIGANJ,WEST BENGAL,INDIA E-mail address: nilkanta1986@gmail.com

Year 2014, Volume: 2 Issue: 2, 70 - 75, 01.12.2014
https://izlik.org/JA28DX84BE

Abstract

References

  • Banerjee, D. and Dutta, R. K., The growth of iterated entire functions, Journal of Indian Acad. Maths.Vol.30, No.2 (2008), 489-495.
  • Banerjee, D. and Jana, S., Comparative growth of maximum modulus and maximum term of iterated entire functions, Journal of Indian Acad. of Math., Vol.31, No.2 (2009), 351-360.
  • Banerjee, D. and Jana, S., On growth properties of iterated entire and composite entire and meromorphic functions, Journal of Indian Acad Math., Vol.32, No.1 (2010), 295-309.
  • Banerjee, D. and Dutta, R. K., On growth of iterated entire functions,Bulletin of Allahabad Mathematical Society, Vol.25, No.2 (2010), 333-340.
  • 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
  • Banerjee, D. and Mondal, N., Growth of generalized iterated entire functions, Bulletin of the Allahabad Mathematical Society, Vol.27,No.2 (2012), 239-254.
  • Bergweiler, W., Jank Gerhard and Volkmann Lutz, Wachstumsverhalten zusammengesetzter Funktionen, Results Math. 7 (1984), 35-53.
  • Bergweiler, W., On the Nevanlinna characteristic of a composite function, Complex variables, Vol.10 (1988), 225-236.
  • 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- 3
  • Clunie, J., The composition of entire and meromorphic functions, Mathematical Essays ded- icated to Macintyre, Ohio Univ. Press (1970), 75-92.
  • Hayman,W. K., Meromorphic functions, Oxford University Press,1964.
  • Lahiri, B. K. and Banerjee, D. , Relative fix points of entire functions, J. Indian Acad. Math., Vol.19, No.1 (1997), 87-97.
  • Lahiri, I., Growth of composite integral functions, Indian J. pure appl. Math., 35(4) (2004), 525-5
  • Sato,D., On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., 69 (1963), 411-414.
  • Singh, A. P., Growth of composite entire functions, Kodai Math. J., Vol 8 (1985), 99-102.
  • DEPARTMENT OF MATHEMATICS,VISVA-BHARATI,SANTINIKETAN-731235,INDIA
  • E-mail address: dibyendu192@rediffmail.com BALLAVPUR R.G.S.VIDYAPITH,BALLAVPUR, RANIGANJ,WEST BENGAL,INDIA E-mail address: nilkanta1986@gmail.com
There are 17 citations in total.

Details

Authors

Dibyendu Banerjee This is me

Nilkantamondal This is me

Submission Date April 4, 2015
Publication Date December 1, 2014
IZ https://izlik.org/JA28DX84BE
Published in Issue Year 2014 Volume: 2 Issue: 2

Cite

Vancouver 1.Dibyendu Banerjee, Nilkantamondal . GROWTH PROPERTIES OF GENERALIZED ITERATED ENTIRE AND COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS. Konuralp J. Math. [Internet]. 2014 Oct. 1;2(2):70-5. Available from: https://izlik.org/JA28DX84BE
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