The Journal of the Indian Mathematical Society

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A Function-Theoretic Method for Δ3 + F(x1, x2)u = 0*


Affiliations
1 University of Delaware, United States
2 Wichita State University, United States
     

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IN [4] Tjong showed that by means of an integral operator in the style of Bergman it is possible to generate solutions of

Δ3U + F(x1, x2, x3)U = 0 (1)

where F is assumed to be an entire function of the three complex variables. Tjong's operator maps analytic functions of several complex variables into solutions of equation (1).


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  • A Function-Theoretic Method for Δ3 + F(x1, x2)u = 0*

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Authors

R. P. Gilbert
University of Delaware, United States
D. K. Kukral
Wichita State University, United States

Abstract


IN [4] Tjong showed that by means of an integral operator in the style of Bergman it is possible to generate solutions of

Δ3U + F(x1, x2, x3)U = 0 (1)

where F is assumed to be an entire function of the three complex variables. Tjong's operator maps analytic functions of several complex variables into solutions of equation (1).