On a Certain Subclass of <i>p</i>-Valent Analytic Functions Involving <i>q</i>-Difference Operator

Abstract

This paper introduces and studies a new class of analytic p-valent functions in the open symmetric unit disc involving the Sălăgean-type q-difference operator. Furthermore, we present several interesting subordination results, coefficient inequalities, fractional q-calculus applications, and distortion theorems.

Keywords

• analytic functions
• <i>q</i>-difference operator
• <i>q</i>-binomial theorem
• Sălăgean differential operator
• fractional <i>q</i>-calculus operators
• <i>q</i>-Bernardi integral operator