Geodesic
The divisor of a~generalized analytic function
Matematičeskie zametki, Tome 61 (1997) no. 5, pp. 655-661

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For generalized analytic functions, we define the order of a zero and prove the following division theorem: if the orders of zeros of the numerator majorize those of the denominator, then the fraction is a generalized analytic function. 
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     author = {S. A. Grigoryan},
     title = {The divisor of a~generalized analytic function},
     journal = {Matemati\v{c}eskie zametki},
     pages = {655--661},
     publisher = {mathdoc},
     volume = {61},
     number = {5},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_61_5_a1/}
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S. A. Grigoryan. The divisor of a~generalized analytic function. Matematičeskie zametki, Tome 61 (1997) no. 5, pp. 655-661. http://geodesic.mathdoc.fr/item/MZM_1997_61_5_a1/