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Srivastava, P. L.
- On Certain Dirichlet's Series
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1 University of Allahabad, IN
1 University of Allahabad, IN
Source
The Journal of the Indian Mathematical Society, Vol 19 (1932), Pagination: 59-74Abstract
The object of this paper is to study the following Dirichlet's series, and to obtain expressions of functions represented by them.- On an Expression for a Class of Integral Functions
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Authors
Affiliations
1 Allahabad University, IN
1 Allahabad University, IN
Source
The Journal of the Indian Mathematical Society, Vol 18 (1930), Pagination: 31-42Abstract
The following interesting lemma is due to Hardy*:-
In order that φ (z) should be an integral function of order 1 and type k (> 0) in Pringsheim's terminology,† it is necessary and sufficient that φ (z) should be of the form.
- On the Analytic Continuation of Functions Represented by a Class of Dirichlet's Series
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The Journal of the Indian Mathematical Society, Vol 17 (1928), Pagination: 103-152Abstract
Let†
∑ ∞ p φ (n) e -rf(n) (1.1) , (p, a positive integer),
p where s = δ + it, be a Dirichlet's series. Then the main object of this paper is to study the analytic continuation of functions represented by a class of Dirichlet's Series for which a relation of the type.