Devendra KUMAR,Anindita BASU.Growth and Approximation of Generalized Bi-Axially Symmetric Potentials[J].数学研究及应用,2015,35(6):613~624
Growth and Approximation of Generalized Bi-Axially Symmetric Potentials
Growth and Approximation of Generalized Bi-Axially Symmetric Potentials
投稿时间:2014-12-12  最后修改时间:2015-05-27
DOI:10.3770/j.issn:2095-2651.2015.06.003
中文关键词:  generalized bi-axially symmetric potentials  $q$-proximate order  Jacobi polynomials  generalized $q$-type  generalized lower $q$-type  approximation errors
英文关键词:generalized bi-axially symmetric potentials  $q$-proximate order  Jacobi polynomials  generalized $q$-type  generalized lower $q$-type  approximation errors
基金项目:
作者单位
Devendra KUMAR Department of Mathematics, Faculty of Science, Al-Baha University, P.O.Box-1988, Al-Baha-65431, Saudi Arabia, K. S. A 
Anindita BASU Department of Mathematics, Dr. Bhupendra Nath Dutta Smriti Mahavidyalaya, Burdwan, P.O Box-713407, West Bengal, India 
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中文摘要:
      The paper deals with growth estimates and approximation (not necessarily entire) of solutions of certain elliptic partial differential equations. These solutions are called generalized bi-axially symmetric potentials (GBASP's). To obtain more refined measure of growth, we have defined $q$-proximate order and obtained the characterization of generalized $q$-type and generalized lower $q$-type with respect to $q$-proximate order of a GBASP in terms of approximation errors and ratio of these errors in sup norm.
英文摘要:
      The paper deals with growth estimates and approximation (not necessarily entire) of solutions of certain elliptic partial differential equations. These solutions are called generalized bi-axially symmetric potentials (GBASP's). To obtain more refined measure of growth, we have defined $q$-proximate order and obtained the characterization of generalized $q$-type and generalized lower $q$-type with respect to $q$-proximate order of a GBASP in terms of approximation errors and ratio of these errors in sup norm.
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