Properties of neighborhood for certain classes associated with complex order and m‑q‑p‑valent functions with higher order
(2022). Properties of neighborhood for certain classes associated with complex order and m‑q‑p‑valent functions with higher order. EKB Journal Management System, 30(1), 1-14. doi: 10.1186/s42787-022-00149-8
. "Properties of neighborhood for certain classes associated with complex order and m‑q‑p‑valent functions with higher order". EKB Journal Management System, 30, 1, 2022, 1-14. doi: 10.1186/s42787-022-00149-8
(2022). 'Properties of neighborhood for certain classes associated with complex order and m‑q‑p‑valent functions with higher order', EKB Journal Management System, 30(1), pp. 1-14. doi: 10.1186/s42787-022-00149-8
Properties of neighborhood for certain classes associated with complex order and m‑q‑p‑valent functions with higher order. EKB Journal Management System, 2022; 30(1): 1-14. doi: 10.1186/s42787-022-00149-8

Properties of neighborhood for certain classes associated with complex order and m‑q‑p‑valent functions with higher order

Journal of the Egyptian Mathematical Society
Volume 30, Issue 1, 2022, Page 1-14  XML PDF (2.69 MB)
Document Type: Original Article
DOI: 10.1186/s42787-022-00149-8
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Abstract
In this paper, by using q-calculus (Jackson’s q-derivative) Dq,p we defined new operator
Dn
,q,pf (m)(z) . After that, we used this operator to introduce two new subclasses of multivalent
analytic functions with complex order. Also, we obtained coefficients estimates
and consequent inclusion relationships involving the Np,q
j,,m(f )-neighborhood of these
classesIn this paper, by using q-calculus (Jackson’s q-derivative) Dq,p we defined new operator
Dn ,q,pf (m)(z) . After that, we used this operator to introduce two new subclasses of multivalent
analytic functions with complex order. Also, we obtained coefficients estimates and consequent inclusion relationships involving the Np,q j,,m(f )-neighborhood of these classes
Keywords
In this paper; by using q-calculus (Jackson’s q-derivative) Dq; p we defined new operator Dn ; q; pf (m)(z) . After that; we used this operator to introduce two new subclasses of multivalent analytic functions with complex order. Also; we obtained coefficients estimates and consequent inclusion relationships involving the Np; q j; ; m(f )-neighborhood of these classes
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