Sequences of Numbers

Ludmila Bourchtein and Andrei Bourchtein
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Ludmila Bourchtein: Federal University of Pelotas, Institute of Physics and Mathematics
Andrei Bourchtein: Federal University of Pelotas, Institute of Physics and Mathematics

Chapter 1 in Theory of Infinite Sequences and Series, 2022, pp 1-42 from Springer

Abstract: Abstract This definition is usually extended to the case of a more general domain ℕ 0 $$\mathbb {N}_0$$ , which represents a subset of the integers ℤ $$\mathbb {Z}$$ such that ℕ 0 = { k 1 , k 2 = k 1 + 1 , k 3 = k 2 + 1 , … , k i + 1 = k i + 1 , … } $$\mathbb {N}_0=\{k_1, k_2=k_1+1, k_3=k_2+1, \ldots , k_{i+1}=k_i+1, \ldots \}$$ , where k 1 ∈ ℤ $$k_1\in \mathbb {Z}$$ .

Date: 2022
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DOI: 10.1007/978-3-030-79431-6_1

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