In this paper, we obtain approximation theorems of classes of analytic functions by shifts L(λ,α,s+iτ) of the Lerch zeta-function for τ∈[T,T+H] where H∈[T27/82,T1/2]. The cases of all parameters, λ,α∈(0,1], are… Click to show full abstract
In this paper, we obtain approximation theorems of classes of analytic functions by shifts L(λ,α,s+iτ) of the Lerch zeta-function for τ∈[T,T+H] where H∈[T27/82,T1/2]. The cases of all parameters, λ,α∈(0,1], are considered. If the set {log(m+α):m∈N0} is linearly independent over Q, then every analytic function in the strip {s=σ+it∈C:σ∈(1/2,1)} is approximated by the above shifts.
Keywords:
approximation analytic;
function;
analytic functions;
lerch zeta;
shifts lerch;
zeta function
Journal Title: Axioms
Year Published: 2025
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Journal Title: Axioms
Year Published: 2025
Link to full text (if available)
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recommendations!