ON THE GOTTLIEB POLYNOMIALS IN SEVERAL VARIABLES

Erkuş-Duman E., Özmen N.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, cilt.34, ss.927-940, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34
  • Basım Tarihi: 2019
  • Doi Numarası: 10.22190/fumi1905927e
  • Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.927-940
  • Anahtar Kelimeler: Gottlieb polynomials, generalized Lauricella functions, generating functions, integral representation, recurrence relation, GENERATING-FUNCTIONS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we give some new properties of the Gottlieb polynomials in several variables. The results obtained here include various families of multilinear and multilateral generating functions, integral representation and recurrence relations for these polynomials. In addition, we derive a theorem giving certain families of bilateral generating functions for the multivariable Gottlieb polynomials and the generalized Lauricella functions. Finally, we get several results of this theorem.