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Abstract. Turán's results concerning the distribution of zeros of Hermite expansions of entire functions are generalized. Estimates for the location of zeros of entire functions under the action of certain linear operators are established.
AMS Subject Classification
(1991): 30C15, 30D15, 26C10, 33C25
Keyword(s):
Hermite expansions,
zeros,
entire functions,
differential operators
Received November 30, 1999, and in revised form May 5, 2000. (Registered under 2779/2009.)
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