On the Existence of Generalized Pólya Frequency Functions Corresponding to Entire Functions with Zeros in Angular Sectors Generalized Pólya Frequency Functions
نویسندگان
چکیده
Generalized Pólya frequency functions are introduced through inverse Mellin transformations of the reciprocals of real entire functions with all zeros in sectors A and −Aφ for 0 ≤ φ ≤ π4 , where A := {z ∈ C | | arg z| ≤ φ}. It is shown that the constant π4 is best possible in this context.
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