Publication:
The logarithmic concavity of modified Bessel functions of the first kind and its related functions

Issued Date

2019-12-01

Resource Type

Article

ISSN

16871847
16871839

DOI

10.1186/s13662-019-2309-8

Other identifier(s)

2-s2.0-85071954056

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Advances in Difference Equations. Vol.2019, No.1 (2019)

Suggested Citation

Thanit Nanthanasub, Boriboon Novaprateep, Narongpol Wichailukkana The logarithmic concavity of modified Bessel functions of the first kind and its related functions. Advances in Difference Equations. Vol.2019, No.1 (2019). doi:10.1186/s13662-019-2309-8 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/51198

Research Projects

Organizational Units

Authors

Journal Issue

Thesis

Title

The logarithmic concavity of modified Bessel functions of the first kind and its related functions

Author(s)

Thanit Nanthanasub
 Boriboon Novaprateep
 Narongpol Wichailukkana

Other Contributor(s)

Mahidol University
 Faculty of Medicine, Siriraj Hospital, Mahidol University
 Bangkok Produce Merchandising Public Company Limited

Abstract

© 2019, The Author(s). This research demonstrates the log-convexity and log-concavity of the modified Bessel function of the first kind and the related functions. The method of coefficient is used to verify such properties. One of our results contradicts the conjecture proposed by Neumann in 2007 which states that modified Bessel function of the first kind Iν is log-concave in (0 , ∞) given ν> 0. The log-concavity holds true in some bounded domain. The application of the other results in Kibble’s bivariate gamma distribution is also demonstrated.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/51198

Collections

Scopus 2019