2010/08/05 by Árpád Baricz · 1 citation
Mathematics · #Analytic and geometric function theory #Mathematical Inequalities and Applications #Mathematical functions and polynomials
paper · pdf · doi:10.1017/s0013091508001016
crossref issued 2010/08/05 · crossref published 2010/08/05 · crossref published-online 2010/08/05 · openalex publication_date 2010/08/05 · crossref created 2010/08/05 · crossref published-print 2010/10/01 · crossref deposited 2021/11/03 · openalex created_date 2025/10/10 · crossref indexed 2026/07/29 · openalex updated_date 2026/07/29
Abstract Some new inequalities for quotients of modified Bessel functions of the first and second kinds are deduced. Moreover, some developments on bounds for modified Bessel functions of the first and second kinds, higher-order monotonicity properties of these functions and applications to a special function that arises in finite elasticity, are summarized. The key tool in our proofs is a frequently used criterion for the monotonicity of the quotient of two Maclaurin series.