TY - EJOU AU - Hong, Yan AU - Guo, Bai-Ni AU - Qi, Feng TI - Determinantal Expressions and Recursive Relations for the Bessel Zeta Function and for a Sequence Originating from a Series Expansion of the Power of Modified Bessel Function of the First Kind T2 - Computer Modeling in Engineering \& Sciences PY - 2021 VL - 129 IS - 1 SN - 1526-1506 AB - In the paper, by virtue of a general formula for any derivative of the ratio of two differentiable functions, with the aid of a recursive property of the Hessenberg determinants, the authors establish determinantal expressions and recursive relations for the Bessel zeta function and for a sequence originating from a series expansion of the power of modified Bessel function of the first kind. KW - Determinantal representation; recursive relation; series expansion; first kind modified Bessel function; Bessel zeta function; Pochhammer symbol; gamma function; Hessenberg determinant DO - 10.32604/cmes.2021.016431