Higher order generalized geometric polynomials

KARGIN L., ÇEKİM B.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.3, ss.887-903, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1705-95
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.887-903
  • Anahtar Kelimeler: Generalized geometric polynomials, Bernoulli polynomials, Euler polynomials, Riemann zeta function, R-WHITNEY NUMBERS, BERNOULLI, FORMULA, SUMS, CONNECTION, SERIES
  • Gazi Üniversitesi Adresli: Evet

Özet

According to the generalized Mellin derivative, we introduce a new family of polynomials called higher order generalized geometric polynomials and obtain some arithmetical properties of them. Then we investigate the relationship of these polynomials with degenerate Bernoulli, degenerate Euler, and Bernoulli polynomials. Finally, we evaluate several series and integrals in closed forms.