DOI QR코드

DOI QR Code

SOME GROWTH PROPERTIES BASED ON (p, q)-TH ORDER OF THE INTEGER TRANSLATION OF THE COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS

  • Biswas, Ritam (Department of Mathematics, Murshidabad College of Engineering and Technology)
  • Received : 2018.04.23
  • Accepted : 2018.07.30
  • Published : 2018.12.30

Abstract

In this paper the growth properties of the composition of integer translated entire and meromorphic functions in terms of their (p, q)-th order are discussed and based upon that some new results are developed.

Keywords

References

  1. W. Bergweiler, On the Nevanlinna Characteristic of a composite function, Complex Variables 10 (1988), 225-236.
  2. W. Bergweiler, On the growth rate of composite meromorphic functions, Complex Variables 14 (1990), 187-196.
  3. S. K. Datta and T. Biswas, Growth rates of composite entire and meromorphic functions, Bull. Allahabad Math. Soc. 27 (1) (2012), 55-94.
  4. W. K. Hayman, Meromorphic Functions, The Clarendon Press, Oxford,1964.
  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. K. Niino and N. Suita, Growth of a composite function of entire functions, Kodai Math. J. 3 (1980), 374-379. https://doi.org/10.2996/kmj/1138036259
  7. K. Niino and C. C. Yang, Some growth relationships on factors of two composite entire functions, Factorization Theory of Meromorphic Functions and Related Topics, Marcel Dekker, Inc. (New York and Basel), 1982, 95-99.
  8. D. Sato, On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc. 69 (1963), 411-414. https://doi.org/10.1090/S0002-9904-1963-10951-9
  9. G. Valiron, Lectures on the General Theory of Integral Functions, Chelsea Publishing Company, 1949.

Cited by

  1. (p, q)-th order oriented growth of composite entire and meromorphic functions on the basis of their integer translation vol.22, pp.2, 2018, https://doi.org/10.1080/09720502.2019.1600851