Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A note on the singular points of the function generated by the Bergman operator of the second kind


Author: Paul Rosenthal
Journal: Proc. Amer. Math. Soc. 44 (1974), 163-166
MSC: Primary 35C15
DOI: https://doi.org/10.1090/S0002-9939-1974-0336033-8
MathSciNet review: 0336033
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ \psi = {P_2}(f)$ be Bergman's operator of the second kind, $ f(q)$ is analytic at $ q = 0$. In a previous paper [5] a theorem was obtained on the singularities of $ \psi $ when $ \psi $ was generated by a $ f(q)$ whose only singular points were poles. In this note we obtain a theorem on the singularities of $ \psi $ when $ \psi $ is generated by a $ f(q)$ whose singular points can be of more varied types.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 35C15

Retrieve articles in all journals with MSC: 35C15


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1974-0336033-8
Keywords: Hypergeometric function, singular points
Article copyright: © Copyright 1974 American Mathematical Society