The Journal of the Indian Mathematical Society

Abstract

Let ∑a_n be a given infinite series and {λ_n} a positive, monotoniq increasing sequence, diverging to infinity. We write

A_λ(w) = Asup>o_λ(w) = ∑a_n

and for r > 0,        A^r_λ ∑ (w-λ_n)^r a_n.

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Abstract

Let

Σa_ne-^λn^s (A)

and

Σb_ne-^μn^s (B)

where s is complex, be any two general Dirichlet series.

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Abstract

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