p. 143 - 149 A mean value property of harmonic functions on the interior of a hyperbola E. Symeonidis Received: October 6, 2009; Accepted: March 12, 2012 Abstract. We establish a mean value property for harmonic functions on the interior of a hyperbola. This property connects their boundary values with the interior ones on the axis of the hyperbola from the focus to infinity. Keywords: Mean value property; harmonic function; hyperbola. AMS Subject classification: Primary: 31A05, 31A10. PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2012, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |