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Two inequalities for the associated Pollaczek polynomials

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In this paper, we prove two concise inequalities for the associated Pollaczek polynomials. The first one is obtained by using Askey’s theorem (SIAM J. Math. Anal. 2:340–346, 1971 ) on… Click to show full abstract

In this paper, we prove two concise inequalities for the associated Pollaczek polynomials. The first one is obtained by using Askey’s theorem (SIAM J. Math. Anal. 2:340–346, 1971 ) on orthogonal expansions with positive coefficients. The second one is proved by using a triple integral representation due to the authors (Integral Transforms Spec. Funct. 30:893–919, 2019 ). In the concluding section, we briefly point out some useful variations and known cases of our inequalities.

Keywords: inequalities associated; associated pollaczek; two inequalities; pollaczek polynomials

Journal Title: Journal of Inequalities and Applications
Year Published: 2020

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