Geodesic
On the Goodman conjecture and related functions of several complex variables
Algebra i analiz, Tome 9 (1997) no. 3, pp. 198-204 Cet article a éte moissonné depuis la source Math-Net.Ru

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The principal coefficient problem for $p$-valent functions, the Goodman conjecture, is considered for polynomial compositions. In this, case, the problem is reduced to a coefficient conjecture for functions of several complex variables related to univalent functions. The proof is based on the Lyzzaik–Styer determinant theorem. Some advantages of the equivalent conjecture are discussed.
Keywords: $p$-valent functions, the Goluzin area theorem, the Goodman conjecture. 
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     author = {A. Z. Grinshpan},
     title = {On the {Goodman} conjecture and related functions of several complex variables},
     journal = {Algebra i analiz},
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     year = {1997},
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     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AA_1997_9_3_a5/}
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A. Z. Grinshpan. On the Goodman conjecture and related functions of several complex variables. Algebra i analiz, Tome 9 (1997) no. 3, pp. 198-204. http://geodesic.mathdoc.fr/item/AA_1997_9_3_a5/