2026-10-24T00:14:39Zhttps://gumushane-rdlopen.rawdatalibrary.net/oai/request

oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/150992026-10-23T21:04:33Zopenairecom_gumushane_10000col_gumushane_10001com_gumushane_10007col_gumushane_10171

On some properties of hyper-bessel and related functionsAktaş, I.Decreasing and increasing functionsHadamard product representationHyper-Bessel functionLog-concavityModified hyper-Bessel functionIn this study, by using the Hadamard product representation of the hyper- Bessel function and basic concepts in mathematics we investigate the sign of the hyper- Bessel function x → J αd (x) on some sets. Also, we show that the function x → J αd (x) is a decreasing function on [0, J αd ,1), and the function is an increasing function on (0,∞), where j αd ,1 and II αd denote the first positive zero of the function J αd (x) and modified hyper-Bessel function, respectively. In addition, we prove the strictly log-concavity of the functions J αd (x) and J αd (x) on some sets. Moreover, we give some illustrative examples regarding our main results.Isik University2019Articlehttps://rdlopen.rawdatalibrary.net/r/gumushane/150992146-1147enTurkish World Mathematical Society Journal of Applied and Engineering Mathematicsinfo:eu-repo/semantics/closedAccessinfo:eu-repo/semantics/articlehttps://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/15099