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Appell polynomials and logarithmic convexity
Author(s) -
Slavko Simić
Publication year - 2004
Publication title -
publikacija elektrotehnickog fakulteta - serija matematika
Language(s) - English
Resource type - Journals
eISSN - 2406-0852
pISSN - 0353-8893
DOI - 10.2298/petf0415032s
Subject(s) - logarithm , convexity , mathematics , class (philosophy) , polynomial , logarithmic derivative , difference polynomials , pure mathematics , type (biology) , orthogonal polynomials , algebra over a field , combinatorics , mathematical analysis , computer science , financial economics , economics , biology , ecology , artificial intelligence
In this article we give necessary and sufficient conditions for logarithmic convexity of some sequences of Appell polynomials. Then we apply our results to Turan’s type polynomial inequalities. Precise upper and lower bounds for this class of polynomials are also determined and asymptotic behavior of   as well.

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