Tập con của các hàm phân tích liên quan đến chuỗi phân phối Poisson

Afrika Matematika - Tập 31 - Trang 1167-1173 - 2020
B. A. Frasin1, Mohammed M. Gharaibeh1
1Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq, Jordan

Tóm tắt

Trong bài báo này, chúng tôi tìm ra các điều kiện cần và đủ, cũng như các quan hệ bao hàm cho chuỗi phân phối Poisson $${\mathcal {K}}(m,z)=z+\sum \nolimits _{n=2}^{\infty }\frac{m^{n-1}}{(n-1)!}e^{-m}z^{n}$$ huộc về một tập con $$\mathcal {TS}(\lambda ,\alpha ,\beta )$$ của các hàm phân tích với các hệ số âm. Hơn nữa, chúng tôi xem xét toán tử tích phân $$\mathcal { G(}m,z{)=}\int _{0}^{z}\frac{{\mathcal {F}}(m,t)}{t}dt$$ huộc về lớp hàm trên.

Từ khóa

#chuỗi phân phối Poisson #hàm phân tích #hệ số âm #toán tử tích phân

Tài liệu tham khảo

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