On the Valiron Deficiencies of Integral Functions

نویسنده

  • DAVID DRASIN
چکیده

the Valiron deficiency of the value a for f(z). (We assume familiarity with the standard notations and basic results of meromorphic function theory, as described for instance in [2].) Some fifty years ago, Valiron [5, 6] constructed examples of integral functions f(z) of order 1 for which A (a , / ) = 1 for an uncountable set of fl-values. On the other hand, he also showed [4] that an integral function whose growth is restricted by T( r , / ) = O((logr)) (r oo) (2)

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تاریخ انتشار 2006