A modification of the uniqueness criterion for the solution of the Watson problem for a half-plane期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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A modification of the uniqueness criterion for the solution of the Watson problem for a half-plane

Authors:	G V Badalyan

Institution:	(1) Erevan State University, USA

Abstract:	It is proved that a known theorem yielding the solution of the Watson problem for a half-plane in terms of the Ostrovskii function remains valid if the Ostrovskii function $T (r) = \mathop {\sup }\limits_{n \geqslant 0} r^n /m_n$ is replaced by the function $\tilde T (r) = \mathop {\sup }\limits_{r \geqslant x > 0} r^x /m (x)$ , where for x n, n+1) the function m(x)=m_n, or by the function $T*(r) = \mathop {\sup }\limits_{r \geqslant n \geqslant 0} r^n /m_n$ .Translated from Matematicheskie Zametki, Vol. 14, No. 5, pp. 609–614, November, 1973.

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