SOME LACUNARY POWER SERIES AND MAHLER'S U-m-NUMBERS IN p-ADIC DOMAIN

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Caliskan F.

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, cilt.75, sa.4, ss.477-485, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 75 Sayı: 4
  • Basım Tarihi: 2022
  • Doi Numarası: 10.7546/crabs.2022.04.01
  • Dergi Adı: COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, zbMATH
  • Sayfa Sayıları: ss.477-485
  • Anahtar Kelimeler: p-adic number, transcendental number, power series, APPROXIMATION
  • İstanbul Üniversitesi Adresli: Evet

Özet

In this paper, we consider some lacunar power series in Q(p), where p is a prime number. We obtain some results about lacunary power series with rational coefficients for U-m-number arguments in Q(p). We determined whether the values of the considered lacunar power series belong to a certain field of algebraic numbers or to the set of transcendental numbers in Q(p). Also, we find similar results for lacunary power series with p-adic algebraic coefficients.