Inequalities on an extended Bessel function

Abstract This paper studies an extended Bessel function of the form Bb,p,ca(x):=∑k=0∞(−c)kk!Γ(ak+p+b+12)(x2)2k+p. $$ {}_{a}\mathtt{B}_{b, p, c}(x):= \sum _{k=0}^{\infty }\frac{(-c)^{k}}{k! \Gamma { ( a k +p+\frac{b+1}{2} ) } } \biggl( \frac{x}{2} \biggr) ^{2k+p}. $$ Representation formulations for B...

Full description

Bibliographic Details
Main Authors: Rosihan M. Ali, See Keong Lee, Saiful R. Mondal
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1656-4