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Inequalities for the modified Bessel function of first kind of non-negative order

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Publication:2695992
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DOI10.1016/j.jmaa.2023.127082OpenAlexW4318939175MaRDI QIDQ2695992

Koustav Banerjee

Publication date: 5 April 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127082


zbMATH Keywords

asymptoticserror boundmodified Bessel function of first kind


Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)



Uses Software

  • DLMF


Cites Work

  • Some inequalities for \(k\)-colored partition functions
  • Asymptotics for the Fourier coefficients of eta-quotients
  • A \textit{Mathematica} version of Zeilberger's algorithm for proving binomial coefficient identities
  • Error bounds for the large-argument asymptotic expansions of the Hankel and Bessel functions
  • Fractional partitions and conjectures of Chern–Fu–Tang and Heim–Neuhauser
  • Jensen polynomials for the Riemann zeta function and other sequences
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