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On some growth analysis of composite entire and meromorphic functions from the view point of their relative $(p,q)$-th type and relative $(p,q)$-th weak type

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The main aim of this paper is to prove some results related to the growth rates of composite entire and meromorphic functions on the basis of their relative $(p,q)$-th order, relative $(p,q)$-th lower order, relative $(p,q)$-th type and relative $(p,q)$-th weak type where $p$ and $q$ are any two positive integers.

Abstract

The main aim of this paper is to prove some results related to the growth rates of composite entire and meromorphic functions on the basis of their relative $(p,q)$-th order, relative $(p,q)$-th lower order, relative $(p,q)$-th type and relative $(p,q)$-th weak type where $p$ and $q$ are any two positive integers.

참고문헌 (12)

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  2. L. Bernal, "Crecimiento relativo de funciones enteras. Contribuci on al estudio de lasfunciones enteras conindice exponencial finito", pp.1984
  3. W. Bergweiler, "On the Nevanlinna characteristic of a composite function", Complex Variables., 10, pp.225~236 (1988)
  4. L. Debnath, "Growth of meromorphic functions depending on (p, q)-th relative order", Facta Universititatis series: Mathematics and Informatics, 31(3), pp.691~705 (2016)
  5. S. K. Datta, "Measure of growth ratios of composite entire and meromorphic functions with a focus on relative order", International J. of Math. Sci. & Engg. Appls. (IJMSEA), 8(4), pp.207~218 (2014)
  6. S. K. Datta, "Relative type and relative weak type ori- ented growth analysis of composite entire and meromorphic functions", General Mathematics Notes (GMN), 25(2), pp.41~49 (2014)
  7. W.K. Hayman, "Meromorphic Functions" (1964), The Clarendon Press
  8. O. P. Juneja, "On the (p, q)-order and lower (p, q)-order of an entire function", J. Reine Angew. Math., 282, pp.53~67 (1976)
  9. O. P. Juneja, "On the (p, q)-type and lower (p, q)-type of an entire function", J. Reine Angew. Math., 290, pp.180~190 (1977)
  10. L. M. S. Ruiz, "On the (p, q)-th relative order oriented growth properties of entire functions", Abstract and Applied Analysis (2014)[DOI]
  11. E.C. Titchmarsh, "The theory of functions" (1968), Oxford University Press
  12. G. Valiron, "Lectures on the general theory of integral functions" (1949), Chelsea Publishing Company

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