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

Yıl 2015, Cilt: 64 Sayı: 2, 1 - 34, 01.08.2015

Kumar Datta Sanjib Tanmay Bıswas Ananya Kar

https://doi.org/10.1501/Commua1_0000000730

Anahtar Kelimeler

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

Kaynakça

  • 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.

Yıl 2015, Cilt: 64 Sayı: 2, 1 - 34, 01.08.2015

Kumar Datta Sanjib Tanmay Bıswas Ananya Kar

https://doi.org/10.1501/Commua1_0000000730

Kaynakça

  • 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.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Kumar Datta Sanjib Bu kişi benim

Tanmay Bıswas Bu kişi benim

Ananya Kar Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 64 Sayı: 2

Kaynak Göster

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 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. Ağustos 2015;64(2):1-34. doi:10.1501/Commua1_0000000730
Chicago Datta Sanjib, Kumar, Tanmay Bıswas, ve Ananya Kar. “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, sy. 2 (Ağustos 2015): 1-34. https://doi.org/10.1501/Commua1_0000000730.
EndNote Datta Sanjib K, Bıswas T, Kar A (01 Ağustos 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 K. Datta Sanjib, T. Bıswas, ve 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., c. 64, sy. 2, ss. 1–34, 2015, doi: 10.1501/Commua1_0000000730.
ISNAD Datta Sanjib, Kumar vd. “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 (Ağustos 2015), 1-34. https://doi.org/10.1501/Commua1_0000000730.
JAMA 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 vd. “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, c. 64, sy. 2, 2015, ss. 1-34, doi:10.1501/Commua1_0000000730.
Vancouver 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.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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