Summary
We give a negative answer to a conjecture of Gy. Petruska.
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Laczkovich, M. andRedheffer, R.,Oscillating solutions of integral equations and linear recursions. Aequationes Math. To appear.
Petruska, Gy.,On a functional equation with retarded mean. Aequationes Math.38 (1989), 66–72.
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Totik, V. A conjecture of Gy. Petruska. Aeq. Math. 39, 261–263 (1990). https://doi.org/10.1007/BF01833154
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DOI: https://doi.org/10.1007/BF01833154