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Relative $L$-order of an entire function

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In this paper we introduce relative $L-$order of a nonconstant entire function $f$ with respect to another nonconstant entire function $g$. Also we investigate the existence of relative $L-$proximate order of $f$ with respect to $g$.

Abstract

In this paper we introduce relative $L-$order of a nonconstant entire function $f$ with respect to another nonconstant entire function $g$. Also we investigate the existence of relative $L-$proximate order of $f$ with respect to $g$.

참고문헌 (5)

  1. L. Bernal, "Orden relative de crecimiento de funciones enteras", Collect. Math., 39(03), pp.209~229 (1988)
  2. S. M. Shah, "On proximate orders of integral functions", Bull. Amer. Math. Soc, 52, pp.326~328 (1946)
  3. S. K. Singh, "Slowly changing functions and their applications", Indian J. Math, 19, pp.1~6 (1977)
  4. D. Somasundaram, "A note on the entire functions of L-bounded index and L-type", Indian J. Pure Appl. Math, 19(03), pp.284~293 (1988)
  5. G. Valiron, "Lectures on the general theory of integral functions", ~ (1923)

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