A note on the geometric means of entire functions of several complex variables
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- by P. K. Kamthan PDF
- Trans. Amer. Math. Soc. 169 (1972), 503-508 Request permission
Abstract:
Let $f({z_1}, \cdots ,{z_n})$ be an entire function of $n( \geqslant 2)$ complex variables. Recently Agarwal [Trans. Amer. Math. Soc. 151 (1970), 651-657] has obtained certain results involving geometric mean values of $f$. In this paper we have constructed examples to contradict some of the results of Agarwal and have thereafter given improvements and modifications of his results.References
- A. K. Agarwal, On the geometric means of entire functions of several complex variables, Trans. Amer. Math. Soc. 151 (1970), 651–657. MR 264107, DOI 10.1090/S0002-9947-1970-0264107-X
- Pawan Kumar Kamthan, On the mean values of an entire function, Math. Student 32 (1964), 101–109. MR 186815
- P. K. Kamthan and P. K. Jain, The geometric means of an entire function, Ann. Polon. Math. 21 (1968/69), 247–255. MR 243072, DOI 10.4064/ap-21-3-247-255
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 169 (1972), 503-508
- MSC: Primary 32A15
- DOI: https://doi.org/10.1090/S0002-9947-1972-0508027-3
- MathSciNet review: 0508027