Monotonicity results for the Gamma function.
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JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Chen, Chaoping, Qi, Feng (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Matejíčka, Ladislav (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Niculescu, Constantin P., Vernescu, Andrei (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Chen, Donghui, Berenhaut, Kenneth S. (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Pinelis, Iosif (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Guo, Bai-Ni, Zhang, Ying-Jie, Qi, Feng (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Taneja, Inder Jeet (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Matejíčka, Ladislav (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Yuan, Baoquan (2001)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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George Csordas, Anna Vishnyakova (2013)
Open Mathematics
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The principal goal of this paper is to show that the various sufficient conditions for a real entire function, φ(x), to belong to the Laguerre-Pólya class (Definition 1.1), expressed in terms of Laguerre-type inequalities, do not require the a priori assumptions about the order and type of φ(x). The proof of the main theorem (Theorem 2.3) involving the generalized real Laguerre inequalities, is based on a beautiful geometric result, the Borel-Carathédodory Inequality (Theorem 2.1), and...
Kouba, Omran (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Neuman, Edward (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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