Functional inequalities for Galué's generalized modified Bessel functions
نویسندگان
چکیده
منابع مشابه
Functional Inequalities for Galué’s Generalized Modified Bessel Functions
Let aIp(x) = ∑ n 0 (x/2)2n+p n!Γ(p + an + 1) be the Galué’s generalized modified Bessel function depending on parameters a = 0, 1, 2, . . . and p > −1. Consider the function aI p : R → R, defined by aI p(x) = 2pΓ(p+1)x−paIp(x). Motivated by the inequality of Lazarević, namely cosh x < ( sinh x x )3 for x = 0, in order to generalize this inequality we prove that the Turán-type, Lazarević-type in...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2007
ISSN: 1846-579X
DOI: 10.7153/jmi-01-18