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, cilt.74, sa.1, 2025 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 74 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s12215-024-01149-6
  • Dergi Adı: Rendiconti del Circolo Matematico di Palermo
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Bessel function, Multiplicative calculus, Multiplicative derivative, Multiplicative integral, Recurrence relation
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.