Abstract

In this paper, we explore the asymptotic distribution of the zeros of the partial sums of the family of entire functions of order 1 and type 1, defined by G(μ,α,βz)=∫01μ(t)tα−1× (1−t)β−1e zt dt, where Re α,Re β>0, μ is Riemann-integrable on [0,1], continuous at t=0, 1 and satisfies μ(0)μ(1)≠0.

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