Functiones et Approximatio Commentarii Mathematici

Approximation and generalized growth of solutions to a class of elliptic partial differential equations

Susheel Kumar and Girja S. Srivastava

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Abstract

In the present paper, we study the approximation and growth of solutions to a class of elliptic partial differential equations. The characterizations of generalized order and generalized type of solutions to a class of elliptic partial differential equations have been obtained in terms of approximation errors.

Article information

Source
Funct. Approx. Comment. Math., Volume 54, Number 1 (2016), 95-113.

Dates
First available in Project Euclid: 22 March 2016

Permanent link to this document
https://projecteuclid.org/euclid.facm/1458656165

Digital Object Identifier
doi:10.7169/facm/2016.54.1.8

Mathematical Reviews number (MathSciNet)
MR3477737

Zentralblatt MATH identifier
06862337

Subjects
Primary: 30B10: Power series (including lacunary series)
Secondary: 30D20: Entire functions, general theory 32K05: Banach analytic spaces [See also 58Bxx]

Keywords
Helmholtz type equation regular solution analytic function approximation errors generalized order generalized type

Citation

Kumar, Susheel; Srivastava, Girja S. Approximation and generalized growth of solutions to a class of elliptic partial differential equations. Funct. Approx. Comment. Math. 54 (2016), no. 1, 95--113. doi:10.7169/facm/2016.54.1.8. https://projecteuclid.org/euclid.facm/1458656165


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References

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