Monotonicity of three classes of functions involving modified Bessel functions of the second kind

DOI10.1007/s41980-023-00821-4MaRDI QIDQ6071329

Zhong-Xuan Mao, Jing-Feng Tian

Publication date: 23 November 2023

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

monotonicityAiry functionmonotonicity rulesmodified Bessel functions of the second kind

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Monotonic functions, generalizations (26A48) Inequalities involving other types of functions (26D07)

Cites Work

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• On approximating the modified Bessel function of the second kind
• Monotonicity rules for the ratio of two Laplace transforms with applications
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• Convexity and concavity of the modified Bessel functions of the first kind with respect to Hölder means
• Inequalities for generalized hypergeometric functions
• Monotonicity and complete monotonicity of some functions involving the modified Bessel functions of the second kind
• The monotonicity and convexity for the ratios of modified Bessel functions of the second kind and applications
• Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications
• Convexity of a ratio of the modified Bessel functions of the second kind with applications
• On new sharp bounds for the Toader-Qi mean involved in the modified Bessel functions of the first kind
• The Confluent Hypergeometric Function
• Convexity of ratios of the modified Bessel functions of the first kind with applications

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