On q-analogue of meromorphic multivalent functions in lemniscate of Bernoulli domain

Abstract

Utilizing the concepts from q-calculus in the field of geometric function theory, we introduce a subclass of p-valent meromorphic functions relating to the domain of lemniscate of Bernoulli. The well known problem of Fekete-Szegö for this class is evaluated. Also some geometric results related to subordinations are evaluated for this class in connection with Janowski functions.

Keywords

• meromorphic functions
• q-calculus
• lemniscate of bernoulli
• janowski functions