On the location of the singularities of the function generated by the Bergman operator of the second kind
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- by Paul Rosenthal PDF
- Proc. Amer. Math. Soc. 44 (1974), 157-162 Request permission
Abstract:
Let $g(x,y) = {P_2}(f)$ be Bergman’s operator of the second kind, $f(q)$ analytic at $q = 0$. The purpose of this paper is to generalize a previous result of the author on the location of the singularities of $g(x,y)$ when $f(q)$ had only a simple pole. $f(q)$ now is assumed to be a rational function whose poles are distributed along the arc of a circle. An order relation is also obtained for $g(x,y)$ for certain fixed $x$ and $y$ sufficiently large and positive.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 44 (1974), 157-162
- MSC: Primary 35C15
- DOI: https://doi.org/10.1090/S0002-9939-1974-0328293-4
- MathSciNet review: 0328293