ON THE GROWTH ANALYSIS OF WRONSKIANS IN THE LIGHT OF SOME GENERALIZED GROWTH INDICATORS

Kumar Datta Sanjib; Tanmay Bıswas; Ananya Kar

doi:10.1501/Commua1_0000000730

ON THE GROWTH ANALYSIS OF WRONSKIANS IN THE LIGHT OF SOME GENERALIZED GROWTH INDICATORS

Year 2015, Volume: 64 Issue: 2, 1 - 34, 01.08.2015

Kumar Datta Sanjib Tanmay Bıswas Ananya Kar

https://doi.org/10.1501/Commua1_0000000730

https://izlik.org/JA45BB67CR

Keywords

Transcendental entire function , transcendental meromorphic function , composition , growth , m-th generalised pL- order with rate p , m-th generalised pL- type with rate p and m-th generalised pL-weak type with rate p , wronskian , slowly changing functio

References

W. Bergweiler : On the Nevanlinna Characteristic of a composite function, Complex Vari- ables, Vol. 10 (1988), pp.225-236.
W. Bergweiler : On the growth rate of composite meromorphic functions, Complex Variables, Vol. 14 (1990) pp.187-196.
S. K. Datta and A. Biswas : Some generalized growth properties of composite entire func- tions involving their maximum terms on the basis of slowly changing functions, International Journal of Mathematical Analysis, Vol. 5, No.22 (2011), pp. 1093-1101.
S. K. Datta, T. Biswas and S. Ali : Some results on wronskians using slowly changing functions, News Bull. Cal. Math. Soc., Vol. 36, No. 7-9 (2013). pp. 8-24.
S. K. Datta, T. Biswas and S. Ali : Growth analysis of wronskians in terms of slowly changing functions, Journal of Complex Analysis, Vol. 2013, Article ID 395067, 9 pages, http://dx.doi.org/10.1155/2013/395067.
S. K. Datta, T. Biswas and S. Ali : Growth rates of wronskians generated by complex valued functions, Gulf Journal of Mathematics, Vol. 2, Issue 1 (2014), pp. 58-74.
W. K. Hayman : Meromorphic Functions, The Clarendon Press, Oxford, 1964.
T.V. Lakshminarasimhan : A note on entire functions of bounded index, J. Indian Math. Soc. Vol. 38 (1974), pp. 43-49.
Q. Lin and C. Dai : On a conjecture of Shah concerning small functions, Kexue Tong bao (English Ed.), Vol.31, No. 4, (1986), pp. 220-224.
I. Lahiri and N. R. Bhattacharjee : Functions of L-bounded index and of non-uniform L- bounded index, Indian J. Math. Vol. 40, No. 1 (1998), pp. 43-57.
I. Lahiri and A. Banerjee : Value distribution of a Wronskian , Portugaliae Mathematica , Vol.. 61, No. Fasc.2 Nova Série (2004), pp. 161-175.
D. Somasundaram 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.
G. Valiron : Lectures on the general theory of integral functions, Chelsea Publishing Com- pany, 1949.
Address : Sanjib Kumar Datta, Department of Mathematics,University of Kalyani, P.O. Kalyani, Dist-Nadia,PIN- 741235, West Bengal, India.

Year 2015, Volume: 64 Issue: 2, 1 - 34, 01.08.2015

Kumar Datta Sanjib Tanmay Bıswas Ananya Kar

https://doi.org/10.1501/Commua1_0000000730

https://izlik.org/JA45BB67CR

References

W. Bergweiler : On the Nevanlinna Characteristic of a composite function, Complex Vari- ables, Vol. 10 (1988), pp.225-236.
W. Bergweiler : On the growth rate of composite meromorphic functions, Complex Variables, Vol. 14 (1990) pp.187-196.
S. K. Datta and A. Biswas : Some generalized growth properties of composite entire func- tions involving their maximum terms on the basis of slowly changing functions, International Journal of Mathematical Analysis, Vol. 5, No.22 (2011), pp. 1093-1101.
S. K. Datta, T. Biswas and S. Ali : Some results on wronskians using slowly changing functions, News Bull. Cal. Math. Soc., Vol. 36, No. 7-9 (2013). pp. 8-24.
S. K. Datta, T. Biswas and S. Ali : Growth analysis of wronskians in terms of slowly changing functions, Journal of Complex Analysis, Vol. 2013, Article ID 395067, 9 pages, http://dx.doi.org/10.1155/2013/395067.
S. K. Datta, T. Biswas and S. Ali : Growth rates of wronskians generated by complex valued functions, Gulf Journal of Mathematics, Vol. 2, Issue 1 (2014), pp. 58-74.
W. K. Hayman : Meromorphic Functions, The Clarendon Press, Oxford, 1964.
T.V. Lakshminarasimhan : A note on entire functions of bounded index, J. Indian Math. Soc. Vol. 38 (1974), pp. 43-49.
Q. Lin and C. Dai : On a conjecture of Shah concerning small functions, Kexue Tong bao (English Ed.), Vol.31, No. 4, (1986), pp. 220-224.
I. Lahiri and N. R. Bhattacharjee : Functions of L-bounded index and of non-uniform L- bounded index, Indian J. Math. Vol. 40, No. 1 (1998), pp. 43-57.
I. Lahiri and A. Banerjee : Value distribution of a Wronskian , Portugaliae Mathematica , Vol.. 61, No. Fasc.2 Nova Série (2004), pp. 161-175.
D. Somasundaram 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.
G. Valiron : Lectures on the general theory of integral functions, Chelsea Publishing Com- pany, 1949.
Address : Sanjib Kumar Datta, Department of Mathematics,University of Kalyani, P.O. Kalyani, Dist-Nadia,PIN- 741235, West Bengal, India.

There are 14 citations in total.

Details

Primary Language	English
Authors	Kumar Datta Sanjib This is me Tanmay Bıswas This is me Ananya Kar This is me
Publication Date	August 1, 2015
DOI	https://doi.org/10.1501/Commua1_0000000730
IZ	https://izlik.org/JA45BB67CR
Published in Issue	Year 2015 Volume: 64 Issue: 2

Cite

APA	Datta Sanjib, K., Bıswas, T., & Kar, A. (2015). ON THE GROWTH ANALYSIS OF WRONSKIANS IN THE LIGHT OF SOME GENERALIZED GROWTH INDICATORS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 64(2), 1-34. https://doi.org/10.1501/Commua1_0000000730
AMA	1.Datta Sanjib K, Bıswas T, Kar A. ON THE GROWTH ANALYSIS OF WRONSKIANS IN THE LIGHT OF SOME GENERALIZED GROWTH INDICATORS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2015;64(2):1-34. doi:10.1501/Commua1_0000000730
Chicago	Datta Sanjib, Kumar, Tanmay Bıswas, and Ananya Kar. 2015. “ON THE GROWTH ANALYSIS OF WRONSKIANS IN THE LIGHT OF SOME GENERALIZED GROWTH INDICATORS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64 (2): 1-34. https://doi.org/10.1501/Commua1_0000000730.
EndNote	Datta Sanjib K, Bıswas T, Kar A (August 1, 2015) ON THE GROWTH ANALYSIS OF WRONSKIANS IN THE LIGHT OF SOME GENERALIZED GROWTH INDICATORS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64 2 1–34.
IEEE	[1]K. Datta Sanjib, T. Bıswas, and A. Kar, “ON THE GROWTH ANALYSIS OF WRONSKIANS IN THE LIGHT OF SOME GENERALIZED GROWTH INDICATORS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 64, no. 2, pp. 1–34, Aug. 2015, doi: 10.1501/Commua1_0000000730.
ISNAD	Datta Sanjib, Kumar - Bıswas, Tanmay - Kar, Ananya. “ON THE GROWTH ANALYSIS OF WRONSKIANS IN THE LIGHT OF SOME GENERALIZED GROWTH INDICATORS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64/2 (August 1, 2015): 1-34. https://doi.org/10.1501/Commua1_0000000730.
JAMA	1.Datta Sanjib K, Bıswas T, Kar A. ON THE GROWTH ANALYSIS OF WRONSKIANS IN THE LIGHT OF SOME GENERALIZED GROWTH INDICATORS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2015;64:1–34.
MLA	Datta Sanjib, Kumar, et al. “ON THE GROWTH ANALYSIS OF WRONSKIANS IN THE LIGHT OF SOME GENERALIZED GROWTH INDICATORS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 64, no. 2, Aug. 2015, pp. 1-34, doi:10.1501/Commua1_0000000730.
Vancouver	1.Kumar Datta Sanjib, Tanmay Bıswas, Ananya Kar. ON THE GROWTH ANALYSIS OF WRONSKIANS IN THE LIGHT OF SOME GENERALIZED GROWTH INDICATORS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2015 Aug. 1;64(2):1-34. doi:10.1501/Commua1_0000000730