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, Pages 1-14 PDF (2.69 M) | ||
| Document Type: Original Article | ||
| DOI: 10.1186/s42787-022-00149-8 | ||
| 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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