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Few results on relative $(k,n)$ Valiron defects from the view points of integrated moduli of logarithmic derivative of entire and meromorphic functions

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The prime target of this paper is to compare some relative $(k,n)$ Nevanlinna defects with relative $(k,n)$ Valiron defects from the view point of integrated moduli of logarithmic derivative of entire and meromorphic functions where $k$ and $n$ are any two non-negative integers.

Abstract

The prime target of this paper is to compare some relative $(k,n)$ Nevanlinna defects with relative $(k,n)$ Valiron defects from the view point of integrated moduli of logarithmic derivative of entire and meromorphic functions where $k$ and $n$ are any two non-negative integers.

참고문헌 (10)

  1. S. K. Datta, "Some results on the relative (k,n) valiron defect of meromorphic functions", Int. Math. Forum, 4(5), pp.241~256 (2009)
  2. S. K. Datta, "Estimation of some relative deficiencies of entire functions", J. Cal. Math. Soc, 15(1), pp.33~42 (2019)
  3. S. K. Datta, "Few results related to relative (k,n) Valiron defects of meromorphic functions", Int. J. Adv. Sci. Res. Technol, 3(2), pp.455~464 (2012)
  4. A. Erel, "Radial distribution and deficiencies of the values of a meromorphic function", Pacific J. Math, 11, pp.135~151 (1961)
  5. W. K. Hayman, "Meromorphic Functions" (1964), Clarendon Press
  6. H. Milloux, "Les derivees des functions meromorphes et la theories des defauts", Annales Ecole Normale Supericure, 63(3), pp.289~316 (1946)
  7. L. Rubel, "Springer Lecture Notes in Mathematics", pp.51~62 (1973), Springer-Verlag.
  8. A. P. Singh, "On relative defects of meromorphic functions", Ranchi Univ. Math. J, 15, pp.48~54 (1984)
  9. L. R. Sons, "On entire functions with zero as a deficient value", J. Math. Anal. Appl, 84, pp.390~399 (1981)
  10. Q. L. Xiong, "A fundamental inequality in the theory of meromorphic functions and its applica-tions", Chin. Mathematics, 9(1), pp.146~167 (1967)

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