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Proximate order (R) of entire functions represented by Dirichlet series (IV)

Published online by Cambridge University Press:  18 May 2009

Pawan Kumar Kamthan
Pawan Kumar Kamthan
Affiliation:
University of Delhi, Delhi 6India
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where be an entire

function represented by a Dirichlet series whose order (R) and proximate order (R) are respectively ρ (0 < ρ < ∞) and ρ(σ). For proximate order (R) and its properties, see the paper of Balaguer [4, p. 28].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 7 , Issue 1 , January 1965 , pp. 15 - 18
Copyright
Copyright © Glasgow Mathematical Journal Trust 1965

References

1.Kamthan, P. K., Proximate order (R) of entire functions represented by Dirichlet series, (II), Collectanea Math. 15 (1963), 71–75.Google Scholar
2.Kamthan, P. K., On the order and type of entire Dirichlet series, Math. Student (in Press).Google Scholar
3.Srivastava, K. N., On the maximum term of an entire Dirichlet series, Proc. Nat. Acad. Sci. India, 11 (1958), 134–146.Google Scholar
4.Sunyer, F. i Balaguer, Sobra la distribuci6n de los valores de una función entera representada por una serie de Dirichlet lagunar, Rev. Acad. Ci. Madrid (2) 5 (1950), 25–73.Google Scholar