Some properties of Bessel functions in multiplicative calculus
摘要
The purpose of this paper is to investigate some properties of multiplicative Bessel function. We first give some recurrence relations provided by this function. Then, we examine the orthogonality and the norm of the multiplicative Bessel function with the help of these recurrence relations. Also, we consider multiplicative Bessel series and we present some applications of them. Finally, we define modified multiplicative Bessel function and discuss it on some examples.