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