A class of Multivalent Meromorphic Functions Involving an Integral Operator | ||
| Journal of Fractional Calculus and Applications | ||
| Volume 15, Issue 2, July 2024, Pages 1-6 PDF (202.99 K) | ||
| Document Type: Letters to the editor | ||
| DOI: 10.21608/jfca.2024.290678.1104 | ||
| Authors | ||
| Zeinab M Saleh* 1; Adela Othman Moustafa2; samar Mohamed Madian3 | ||
| 1Basic Science Dept. Higher. Tec. Instit, The tenth of Ramadan, Egypt. | ||
| 2Math. Dept., Faculty of Science, Mansoura University, Egypt. | ||
| 3Higher Institute of Engineering and Technology New Damietta, Egypt. | ||
| Abstract | ||
| In this paper, for analytic and multivalent functions defined in the punched disc U^{∗}={ϑ∈ℂ:0<|ϑ-δ|<1}=U\{δ}, δ be a fixed point in U. We define the new class of multivalent meromorphic Bazilevič functions M_{δ,p}^{m}(α,β,μ,ρ,γ) associated with the new integral operator J_{δ,p}^{m}(μ,α), from which one can obtain many other new operators using the principle of Hadamard product (or convolution) by taking different values of its parameters. Let P_{k}(ρ,p) be the class of functions θ(ϑ) analytic in U satisfying θ(0)=p and ∫₀^{2π}|((ℜ{θ(ϑ)}-ρ)/(p-ρ))|dθ≤kπ, where ϑ=re^{iθ},k≥2 and 0≤ρ4 and Aouf and Seoudy 1, we prove our theorems. | ||
| Keywords | ||
| Bazilevič function; multivalent meromorphic functions; hadamard product; integral operator | ||
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