Certain New Integral Formulas Involving the Generalized Multi-index Bessel Functions

Dumlupinar M., Duman E. E.

8th International conference Approximation Theory and Special Functions, ATSF 2024, Ankara, Türkiye, 4 - 07 Eylül 2024, cilt.503 PROMS, ss.323-332, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 503 PROMS
  • Doi Numarası: 10.1007/978-3-031-93279-3_17
  • Basıldığı Şehir: Ankara
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.323-332
  • Anahtar Kelimeler: Fox-Wright function, Gamma function, Hypergeometric function, Multi-index Bessel function, Oberhettinger integral formula, Pochhammer symbol
  • Gazi Üniversitesi Adresli: Evet

Özet

In the present study, we establish some generalized integral formulas involving product of multi-index Bessel function and other polynomials, which are expressed in terms of the Fox-Wright function. Further, ongiving suitable special values to the coefficient in the main results give many known classical polynomials. Therefore, we observe that our main results can lead to yield numerous other interesting integrals involving various Bessel functions and some known polynomials by suitable specialization of arbitrary parameters in the main theorems.