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Sum and Product Theorems relating to Generalized Relative Order (α, β) and Generalized Relative Type (α, β) of Entire Functions

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Orders and types of entire functions have been actively investigated by many authors. In this paper, we investigate some basic properties in connection with sum and product of generalized relative order (α,β), generalized relative type (α,β) and generalized relative weak type (α,β) of entire functions with respect to another entire function where α, β are continuous non-negative functions on (-∞,+∞)

Abstract

Orders and types of entire functions have been actively investigated by many authors. In this paper, we investigate some basic properties in connection with sum and product of generalized relative order (α,β), generalized relative type (α,β) and generalized relative weak type (α,β) of entire functions with respect to another entire function where α, β are continuous non-negative functions on (-∞,+∞)

참고문헌 (7)

  1. L. Bernal-Gonzal´ez, "Crecimiento relativo de funciones enteras. Aportaciones al estudio de las funciones enteras con ´ındice exponencial finito", Doctoral, pp.1984
  2. L. Bernal, "Orden relative de crecimiento de funciones enteras", Collect. Math, 39, pp.209~229 (1988)
  3. O. M. Mulyava, "Relative growth of Dirichlet series", Mat. Stud., 49(2), pp.158~164 (2018)[DOI]
  4. O. M. Mulyava, "Remarks to relative growth of entire Dirich-let series", Visnyk of the Lviv Univ. Series Mech. Math., 87, pp.73~81 (2019)[DOI]
  5. M. N. Sheremeta, "Connection between the growth of the maximum of the modulus of an entire function and the moduli of the coefficients of its power series expansion", Izv. Vyssh. Uchebn. Zaved Mat., 2, pp.100~108 (1967)
  6. G. Valiron, "Lectures on the general theory of integral functions" (1949), Chelsea Publishing Company
  7. L. Yang, "Value distribution theory" (1993), Springer-Verlag

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