GAZETA MATEMATICA SERIA B
Problema propusa 10/2011
$$1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \quad\quad \text{for $|q|<1$}.$$
Sa se demonstreze egalitatea.
Maria Elena Panaitopol - Gazeta Matematică, nr. 1 din 2007
O GENERALIZARE A INEGALITĂŢII LUI WILKER
de Maria Elena Panaitopol
În 1989 J.B. Wilker[3] a enunţat:
Probleme liceu
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Probleme gimnaziu
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Probleme primar
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Articol
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gmb
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201105
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Cuprins
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201105
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Probleme propuse
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Articol
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gmb
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Cuprins
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201103
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