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

D. Kumar

doi:10.1501/Commua1_0000000511

EN

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

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

References

Communications, Series A1:Mathematics and Statistics

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

D. Kumar This is me
Türkiye

Publication Date

January 1, 1992

Submission Date

January 1, 1992

Acceptance Date

-

Published in Issue

Year 1992 Volume: 41

DOI

https://doi.org/10.1501/Commua1_0000000511

IZ

https://izlik.org/JA69XS27LA

Cite

RIS / Bibtex

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

1.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

Chicago

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 (January). 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

[1]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, Jan. 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 1, 1992). https://doi.org/10.1501/Commua1_0000000511.

JAMA

1.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, Jan. 1992, doi:10.1501/Commua1_0000000511.

Vancouver

1.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. 1992 Jan. 1;41. doi:10.1501/Commua1_0000000511