<p>In this paper, we present several new Turán type inequalities for the Ramanujan type entire function. In addition, some Turán type inequalities for sections of series of the aforementioned function are established. The key tools in the proofs of the main results are the monotonicity properties of the ratios of the Ramanujan type entire function.</p>

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Some Turán type inequalities for the Ramanujan type entire function

  • Yücel Özkan,
  • Khaled Mehrez,
  • Erhan Deniz

摘要

In this paper, we present several new Turán type inequalities for the Ramanujan type entire function. In addition, some Turán type inequalities for sections of series of the aforementioned function are established. The key tools in the proofs of the main results are the monotonicity properties of the ratios of the Ramanujan type entire function.