On Parametric p-Valent Meromorphic Functions

Abstract

Problem statement: In this research, we studied parametric p-valent meromorphic functions P^αf by considering two classes M^α_p (β) and M^α_p (λ,A) . Approach: With the help of Jack’s Lemma an inclusion relation for the class M^α_p was obtained and it is shown that this class is closed by an integral operator I_c. Results: A subordination result for the class M^α_p (λ,A) was proved. Consequences of main results with the results for special values of the parameter α were discussed. Conclusion/Recommendations: Our results certainly generalized several results obtained earlier as well as generate new results.