Vandermonde determinant for a certain Sakaguchi type function in Limagon domain

Vijayalakshmi S. P., Bulut S., Sudharsan T.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.15, sa.12, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 12
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1142/s1793557122502126
  • Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: Sakaguchi function, Vandermonde determinant, Limacon domain, starlike function, 2ND HANKEL DETERMINANT
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we define the qth Vandermonde determinant and determine the coefficient bounds for the second- and third-order Vandermonde determinant for a Sakaguchi type function S*(L-s) and C(L-s) which map open unit disc onto the region bounded by Limacon