Some properties of Bessel functions in multiplicative calculus

ÖZBEY G. G., ÖZNUR G. B., AYGAR KÜÇÜKEVCİLİOĞLU Y., Karaman R. A.

Rendiconti del Circolo Matematico di Palermo, vol.74, no.1, 2025 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 74 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.1007/s12215-024-01149-6
  • Journal Name: Rendiconti del Circolo Matematico di Palermo
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Keywords: Bessel function, Multiplicative calculus, Multiplicative derivative, Multiplicative integral, Recurrence relation
  • Middle East Technical University Affiliated: Yes

Abstract

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.