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A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions

Yıl 2018, Sayı: 24, 1 - 19, 14.08.2018

Öz

Let p and q be any two positive integers. In this paper the concept of two
relative growth indicators namely relative (p, q)-th type and relative (p, q)-th weak type of entire
functions with respect to entire algebroidal functions have been introduced from the view point
of their integral representations. Here we also investigate the equivalence of the computational
definitions with their respective integral representations.

Kaynakça

  • [1] L. Bernal, Crecimiento relativo de funciones enteras. Contribuci´on al estudio de lasfunciones enteras con ´ındice exponencial finito, Doctoral Dissertation, University of Seville, Spain, 1984.
  • [2] L. Bernal, Orden relative de crecimiento de funciones enteras , Collect. Math., 39 (1988), 209-229.
  • [3] J. Clunie, The composition of entire and meromorphic functions, Mathematical essays dedicated to A.J.Macintyre, Ohio University Press, (1970), 75 - 92.
  • [4] A. S. B. Holland, Introduction to the theory of entire functions, Academic Press, New York and London (1973).
  • [5] O. P. Juneja, G. P. Kapoor and S. K. Bajpai, On the (p,q)-order and lower (p,q)-order of an entire function, J. Reine Angew. Math., 282, (1976), 53-67
  • [6] O. P. Juneja, G. P. Kapoor and S. K. Bajpai, On the (p, q)-type and lower (p, q)-type of an entire function, J. Reine Agew. Math., 290 (1977), 180-189.
  • [7] C. Roy, Some properties of entire functions in one and several complex vaiables, Ph.D. Thesis ( 2010), University of Calcutta.
  • [8] L. M. S. Ruiz, S. K. Datta, T. Biswas and G. K. Mondal, On the (p,q)-th relative order oriented growth properties of entire functions,Abstract and Applied Analysis,Hindawi Publishing Corporation, Volume 2014, Article ID 826137, 8 pages.
  • [9] E. C. Titchmarsh, The theory of functions, 2nd ed. Oxford University Press, Oxford, 1939.
  • [10] G. Valiron, Lectures on the general theory of integral functions, Chelsea Publishing Company, 1949.
Yıl 2018, Sayı: 24, 1 - 19, 14.08.2018

Öz

Kaynakça

  • [1] L. Bernal, Crecimiento relativo de funciones enteras. Contribuci´on al estudio de lasfunciones enteras con ´ındice exponencial finito, Doctoral Dissertation, University of Seville, Spain, 1984.
  • [2] L. Bernal, Orden relative de crecimiento de funciones enteras , Collect. Math., 39 (1988), 209-229.
  • [3] J. Clunie, The composition of entire and meromorphic functions, Mathematical essays dedicated to A.J.Macintyre, Ohio University Press, (1970), 75 - 92.
  • [4] A. S. B. Holland, Introduction to the theory of entire functions, Academic Press, New York and London (1973).
  • [5] O. P. Juneja, G. P. Kapoor and S. K. Bajpai, On the (p,q)-order and lower (p,q)-order of an entire function, J. Reine Angew. Math., 282, (1976), 53-67
  • [6] O. P. Juneja, G. P. Kapoor and S. K. Bajpai, On the (p, q)-type and lower (p, q)-type of an entire function, J. Reine Agew. Math., 290 (1977), 180-189.
  • [7] C. Roy, Some properties of entire functions in one and several complex vaiables, Ph.D. Thesis ( 2010), University of Calcutta.
  • [8] L. M. S. Ruiz, S. K. Datta, T. Biswas and G. K. Mondal, On the (p,q)-th relative order oriented growth properties of entire functions,Abstract and Applied Analysis,Hindawi Publishing Corporation, Volume 2014, Article ID 826137, 8 pages.
  • [9] E. C. Titchmarsh, The theory of functions, 2nd ed. Oxford University Press, Oxford, 1939.
  • [10] G. Valiron, Lectures on the general theory of integral functions, Chelsea Publishing Company, 1949.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Sanjib Kumar Datta

Aditi Biswas

Yayımlanma Tarihi 14 Ağustos 2018
Gönderilme Tarihi 21 Nisan 2018
Yayımlandığı Sayı Yıl 2018 Sayı: 24

Kaynak Göster

APA Datta, S. K., & Biswas, A. (2018). A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions. Journal of New Theory(24), 1-19.
AMA Datta SK, Biswas A. A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions. JNT. Ağustos 2018;(24):1-19.
Chicago Datta, Sanjib Kumar, ve Aditi Biswas. “A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions”. Journal of New Theory, sy. 24 (Ağustos 2018): 1-19.
EndNote Datta SK, Biswas A (01 Ağustos 2018) A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions. Journal of New Theory 24 1–19.
IEEE S. K. Datta ve A. Biswas, “A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions”, JNT, sy. 24, ss. 1–19, Ağustos 2018.
ISNAD Datta, Sanjib Kumar - Biswas, Aditi. “A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions”. Journal of New Theory 24 (Ağustos 2018), 1-19.
JAMA Datta SK, Biswas A. A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions. JNT. 2018;:1–19.
MLA Datta, Sanjib Kumar ve Aditi Biswas. “A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions”. Journal of New Theory, sy. 24, 2018, ss. 1-19.
Vancouver Datta SK, Biswas A. A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions. JNT. 2018(24):1-19.


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