Research Article
BibTex RIS Cite

On approximation of entire Harmonic functions in R n with index - pair (p ,q)

Year 1992, Volume: 41 , 0 - 0, 01.01.1992

D. Kumar

https://doi.org/10.1501/Commua1_0000000511

Abstract

The authors have defined approximation error for harmonic functions in DR, 0 < R < 00 the cJass of ali harmonic functions H in R3, that are regular in the öpen hail DR of radius R centered at the origin and are continuous on the closure DR of DR . Necessary and sufficient conditions, in terıns of the rate of decay of the approximation error En (H, R), such that II G DR has analytic continuation as an entire harmonic functions haviııg (p, q) -order p and (p, q)- type T, have been obtained.

Keywords

approximation Harmonic functions

References

  • Communications, Series A1:Mathematics and Statistics

Year 1992, Volume: 41 , 0 - 0, 01.01.1992

D. Kumar

https://doi.org/10.1501/Commua1_0000000511

Abstract

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

D. Kumar This is me

Publication Date January 1, 1992
Submission Date January 1, 1992
Published in Issue Year 1992 Volume: 41

Cite

APA Kumar, D. (1992). On approximation of entire Harmonic functions in R n with index - pair (p ,q). Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 41. https://doi.org/10.1501/Commua1_0000000511
AMA Kumar D. On approximation of entire Harmonic functions in R n with index - pair (p ,q). Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1992;41. doi:10.1501/Commua1_0000000511
Chicago Kumar, D. “On Approximation of Entire Harmonic Functions in R N With Index - Pair (p ,q)”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41, January (January 1992). https://doi.org/10.1501/Commua1_0000000511.
EndNote Kumar D (January 1, 1992) On approximation of entire Harmonic functions in R n with index - pair (p ,q). Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41
IEEE D. Kumar, “On approximation of entire Harmonic functions in R n with index - pair (p ,q)”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 41, 1992, doi: 10.1501/Commua1_0000000511.
ISNAD Kumar, D. “On Approximation of Entire Harmonic Functions in R N With Index - Pair (p ,q)”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41 (January 1992). https://doi.org/10.1501/Commua1_0000000511.
JAMA Kumar D. On approximation of entire Harmonic functions in R n with index - pair (p ,q). Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41. doi:10.1501/Commua1_0000000511.
MLA Kumar, D. “On Approximation of Entire Harmonic Functions in R N With Index - Pair (p ,q)”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 41, 1992, doi:10.1501/Commua1_0000000511.
Vancouver Kumar D. On approximation of entire Harmonic functions in R n with index - pair (p ,q). Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.