Effect of generalized relative order on the growth of composite entire functions

Sanjib Kumar Datta; Tanmay Bıswas; Chinmay Ghosh

doi:10.1501/Commua1_0000000726

Effect of generalized relative order on the growth of composite entire functions

Year 2015, Volume: 64 Issue: 1, 39 - 59, 01.02.2015

Sanjib Kumar Datta Tanmay Bıswas Chinmay Ghosh

https://doi.org/10.1501/Commua1_0000000726

Keywords

Entire function, generalized relative orders, generalized relative lower30D20, 30D30, 30D35

References

L. Bernal : Crecimiento relativo de funciones enteras. Contribuci´ on al estudio de lasfunciones enteras con ´ ındice exponencial …nito, Doctoral Dissertation, University of Seville, Spain, L. Bernal : Orden relative de crecimiento de funciones enteras , Collect. Math., Vol. 39 (1988), pp.209-229.
J. Clunie : The composition of entire and meromorphic functions, Mathematical Essays dedicated to A. J. Macintyre,Ohio University Press (1970), pp. 75-92.
S. K. Datta and T. Biswas : Growth of entire functions based on relative order, Int. J. Pure Appl. Math., Vol. 51, No. 1 (2009), pp. 49-58.
S. K. Datta and T. Biswas : Relative order of composite entire functions and some related growth properties, Bull. Cal. Math. Soc., Vol.102, No.3 (2010) pp.259-266.
S. K. Datta 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 D. C. Pramanik : On relative order and maximum term-related comparative growth rates of entire functions, Journal of Tripura Mathematical Society, Vol.14 (2012), pp. 60-68
S. K. Datta , T. Biswas and R. Biswas : On relative order based growth estimates of entire functions, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol. 7, No. II (March, ), pp. 59-67. S. K. Datta , T. Biswas and R. Biswas : Comparative growth properties of composite entire functions in the light of their relative order, The Mathematics Student, Vol. 82, No. 1-4 (2013), pp. 1-8.
B. K. Lahiri and D. Banerjee : Generalised relative order of entire functions, Proc. Nat. Acad. Sci. India, Vol. 72(A), No. IV (2002), pp. 351-271.
D. Sato : On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., Vol. 69 (1963), pp. 411-414.
A. P. Singh : On maximum term of composition of entire functions, Proc. Nat. Acad. Sci. India, Vol. 59(A), Part I(1989), pp. 103-115.
A. P. Singh and M. S. Baloria : On the maximum modulus and maximum term of composition of entire functions, Indian J. Pure Appl. Math., Vol. 22, No. 12 (1991), pp. 1019-1026.
E. C. Titchmarsh : The theory of functions , 2nd ed. Oxford University Press, Oxford , (1968).
G. Valiron : Lectures on the General Theory of Integral Functions, Chelsea Publishing Com- pany, (1949).

Year 2015, Volume: 64 Issue: 1, 39 - 59, 01.02.2015

Sanjib Kumar Datta Tanmay Bıswas Chinmay Ghosh

https://doi.org/10.1501/Commua1_0000000726

References

L. Bernal : Crecimiento relativo de funciones enteras. Contribuci´ on al estudio de lasfunciones enteras con ´ ındice exponencial …nito, Doctoral Dissertation, University of Seville, Spain, L. Bernal : Orden relative de crecimiento de funciones enteras , Collect. Math., Vol. 39 (1988), pp.209-229.
J. Clunie : The composition of entire and meromorphic functions, Mathematical Essays dedicated to A. J. Macintyre,Ohio University Press (1970), pp. 75-92.
S. K. Datta and T. Biswas : Growth of entire functions based on relative order, Int. J. Pure Appl. Math., Vol. 51, No. 1 (2009), pp. 49-58.
S. K. Datta and T. Biswas : Relative order of composite entire functions and some related growth properties, Bull. Cal. Math. Soc., Vol.102, No.3 (2010) pp.259-266.
S. K. Datta 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 D. C. Pramanik : On relative order and maximum term-related comparative growth rates of entire functions, Journal of Tripura Mathematical Society, Vol.14 (2012), pp. 60-68
S. K. Datta , T. Biswas and R. Biswas : On relative order based growth estimates of entire functions, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol. 7, No. II (March, ), pp. 59-67. S. K. Datta , T. Biswas and R. Biswas : Comparative growth properties of composite entire functions in the light of their relative order, The Mathematics Student, Vol. 82, No. 1-4 (2013), pp. 1-8.
B. K. Lahiri and D. Banerjee : Generalised relative order of entire functions, Proc. Nat. Acad. Sci. India, Vol. 72(A), No. IV (2002), pp. 351-271.
D. Sato : On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., Vol. 69 (1963), pp. 411-414.
A. P. Singh : On maximum term of composition of entire functions, Proc. Nat. Acad. Sci. India, Vol. 59(A), Part I(1989), pp. 103-115.
A. P. Singh and M. S. Baloria : On the maximum modulus and maximum term of composition of entire functions, Indian J. Pure Appl. Math., Vol. 22, No. 12 (1991), pp. 1019-1026.
E. C. Titchmarsh : The theory of functions , 2nd ed. Oxford University Press, Oxford , (1968).
G. Valiron : Lectures on the General Theory of Integral Functions, Chelsea Publishing Com- pany, (1949).

There are 13 citations in total.

Details

Primary Language	English
Journal Section	Research Articles
Authors	Sanjib Kumar Datta This is me Tanmay Bıswas This is me Chinmay Ghosh This is me
Publication Date	February 1, 2015
Published in Issue	Year 2015 Volume: 64 Issue: 1

Cite

APA	Kumar Datta, S., Bıswas, T., & Ghosh, C. (2015). Effect of generalized relative order on the growth of composite entire functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 64(1), 39-59. https://doi.org/10.1501/Commua1_0000000726
AMA	Kumar Datta S, Bıswas T, Ghosh C. Effect of generalized relative order on the growth of composite entire functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2015;64(1):39-59. doi:10.1501/Commua1_0000000726
Chicago	Kumar Datta, Sanjib, Tanmay Bıswas, and Chinmay Ghosh. “Effect of Generalized Relative Order on the Growth of Composite Entire Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64, no. 1 (February 2015): 39-59. https://doi.org/10.1501/Commua1_0000000726.
EndNote	Kumar Datta S, Bıswas T, Ghosh C (February 1, 2015) Effect of generalized relative order on the growth of composite entire functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64 1 39–59.
IEEE	S. Kumar Datta, T. Bıswas, and C. Ghosh, “Effect of generalized relative order on the growth of composite entire functions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 64, no. 1, pp. 39–59, 2015, doi: 10.1501/Commua1_0000000726.
ISNAD	Kumar Datta, Sanjib et al. “Effect of Generalized Relative Order on the Growth of Composite Entire Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64/1 (February 2015), 39-59. https://doi.org/10.1501/Commua1_0000000726.
JAMA	Kumar Datta S, Bıswas T, Ghosh C. Effect of generalized relative order on the growth of composite entire functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2015;64:39–59.
MLA	Kumar Datta, Sanjib et al. “Effect of Generalized Relative Order on the Growth of Composite Entire Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 64, no. 1, 2015, pp. 39-59, doi:10.1501/Commua1_0000000726.
Vancouver	Kumar Datta S, Bıswas T, Ghosh C. Effect of generalized relative order on the growth of composite entire functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2015;64(1):39-5.