Geodesic
On nontrivial solutions of the homogeneous Abel problem
Sbornik. Mathematics, Tome 37 (1980) no. 2, pp. 227-244 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $K$ denote the set of all entire functions $F(z)$ of finite exponential type with the following growth characteristic along the imaginary axis: $$ F(iy)=O(|y|^Ne^{\frac\pi2|y|}),\qquad y\to\infty\quad(N\geqslant0). $$ It is shown in this paper that the general solution of the symmetric Abel interpolation problem $$ F^{(n)}(\pm n)=0,\qquad n=0,1,2,\dots, $$ in the class $K$ is of the form $F(z)=C\sin(\pi z/2)$, where $C$ is an arbitrary constant. Bibliography: 10 titles. 
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     title = {On nontrivial solutions of the homogeneous {Abel} problem},
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Yu. A. Kaz'min. On nontrivial solutions of the homogeneous Abel problem. Sbornik. Mathematics, Tome 37 (1980) no. 2, pp. 227-244. http://geodesic.mathdoc.fr/item/SM_1980_37_2_a4/

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