Some Identities on (p,q)-Analog of the Generalized Hyperharmonic Polynomials of Order ν

KOPARAL S.

Symmetry, cilt.17, sa.1, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3390/sym17010004
  • Dergi Adı: Symmetry
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: q-analog, the generalized harmonic number, the hyperharmonic number
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, (Formula presented.) -analogues of the generalized harmonic polynomials and the generalized hyperharmonic polynomials of order (Formula presented.) are defined. We found new sums of these numbers by using combinatorial operations. We also obtained the generating function and used it to reproduce new equations. The applications of matrices are made in the end.