
This research aims to present a linear operator Lp,qρ,σ,μf utilizing the q-Mittag–Leffler function. Then, we introduce the subclass of harmonic (p,q)-convex functions HTp,q(ϑ,W,V) related to the Janowski function. For the harmonic p-valent functions f class, we investigate the harmonic geometric properties, such as coefficient estimates, convex linear combination, extreme points, and Hadamard product. Finally, the closure property is derived using the subclass HTp,q(ϑ,W,V) under the q-Bernardi integral operator.
the <i>q</i>-Mittag–Leffler function, (<i>p</i>,<i>q</i>)-convex functions, Hadamard product, <i>q</i>-Bernardi integral operator, QA1-939, harmonic <i>p</i>-valent functions, extreme points, closed convex hulls, Mathematics
the <i>q</i>-Mittag–Leffler function, (<i>p</i>,<i>q</i>)-convex functions, Hadamard product, <i>q</i>-Bernardi integral operator, QA1-939, harmonic <i>p</i>-valent functions, extreme points, closed convex hulls, Mathematics
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