Research Article

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

Number: 24 August 14, 2018
EN

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

Abstract

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.

Keywords

References

  1. [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. [2] L. Bernal, Orden relative de crecimiento de funciones enteras , Collect. Math., 39 (1988), 209-229.
  3. [3] J. Clunie, The composition of entire and meromorphic functions, Mathematical essays dedicated to A.J.Macintyre, Ohio University Press, (1970), 75 - 92.
  4. [4] A. S. B. Holland, Introduction to the theory of entire functions, Academic Press, New York and London (1973).
  5. [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. [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. [7] C. Roy, Some properties of entire functions in one and several complex vaiables, Ph.D. Thesis ( 2010), University of Calcutta.
  8. [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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

August 14, 2018

Submission Date

April 21, 2018

Acceptance Date

-

Published in Issue

Year 2018 Number: 24

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. https://izlik.org/JA47RJ67SF
AMA
1.Datta SK, Biswas A. A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions. JNT. 2018;(24):1-19. https://izlik.org/JA47RJ67SF
Chicago
Datta, Sanjib Kumar, and Aditi Biswas. 2018. “A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions”. Journal of New Theory, nos. 24: 1-19. https://izlik.org/JA47RJ67SF.
EndNote
Datta SK, Biswas A (August 1, 2018) A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions. Journal of New Theory 24 1–19.
IEEE
[1]S. K. Datta and A. Biswas, “A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions”, JNT, no. 24, pp. 1–19, Aug. 2018, [Online]. Available: https://izlik.org/JA47RJ67SF
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 (August 1, 2018): 1-19. https://izlik.org/JA47RJ67SF.
JAMA
1.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, and Aditi Biswas. “A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions”. Journal of New Theory, no. 24, Aug. 2018, pp. 1-19, https://izlik.org/JA47RJ67SF.
Vancouver
1.Sanjib Kumar Datta, Aditi Biswas. A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions. JNT [Internet]. 2018 Aug. 1;(24):1-19. Available from: https://izlik.org/JA47RJ67SF

 

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