DOI QR코드

DOI QR Code

DERIVATION OF SOME INEQUALITIES USING THE (p, q)-TH LOWER ORDER AND (p, q)-TH WEAK TYPE OF ENTIRE FUNCTIONS

  • Received : 2015.11.15
  • Published : 2016.10.31

Abstract

The object of the present paper is to obtain new estimates about the (p, q)-th lower order and (p, q)-th weak type of entire functions under some interesting conditions.

Keywords

References

  1. L. Bernal, Orden relative de crecimiento de funciones enteras, Collect. Math. 39 (1988), 209-229.
  2. S. K. Datta and A. Jha, On the weak type of meromorphic functions, Int. Math. Forum 4 (2009), no. 9-12, 569-579.
  3. A. S. B. Holland, Introduction to the Theory of Entire Functions, Academic Press, New York and London, 1973.
  4. 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.
  5. 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 Angew. Math. 290 (1977), 180-190.
  6. B. J. Levin, Distribution of Zeros of Entire Functions, American Mathematical Society, Providence, 1980.
  7. B. Ya. Levin, Lectures on entire functions, In collaboration with and with a preface by Yu. Lyubarskii, M. Sodin and V. Tkachenko. translated from the Russian manuscript by Tkachenko. Translations of Mathematical Monographs, 150. American Mathematical Society, Providence, RI, 1996.
  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.