The Journal of the Indian Mathematical Society

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On an Expression for a Class of Integral Functions


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1 Allahabad University, India
     

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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.


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  • On an Expression for a Class of Integral Functions

Abstract Views: 239  |  PDF Views: 0

Authors

P. L. Srivastava
Allahabad University, India

Abstract


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.