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THE (p, q)-ANALOG OF THE SĂLĂGEAN-TYPE MULTIVALENT HARMONIC FUNCTIONS ASSOCIATED WITH SUBORDINATION
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Journal Article
THE (p, q)-ANALOG OF THE SĂLĂGEAN-TYPE MULTIVALENT HARMONIC FUNCTIONS ASSOCIATED WITH SUBORDINATION
2025
Overview
Certain subclasses
S
H
p
,
q
m
,
ℓ
[
Φ
i
,
Ψ
j
;
α
,
A
,
B
]
and
S
H
¯
p
,
q
m
,
ℓ
[
Φ
i
,
Ψ
j
;
α
,
A
,
B
]
of the function class
S
H
(
m
)
of multivalent harmonic functions associated with the (
p
,
q
)-derivative operator and subordination function are introduced and investigated. Further, on the one hand, we obtain the necessary and sufficient conditions and the coefficient characterization for the class of (
p
,
q
)-Sălăgean multivalent harmonic functions for the subclasses. On the other hand, we also provide the bound estimates of the coefficient
a
n
and
b
n
and distortion theorems and covering theorems as well as the closeness of convex combination for these harmonic function classes.
Publisher
Springer International Publishing,Springer,Springer Nature B.V
