New applications of the Bernardi integral operator

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Tarih

2020

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

MDPI AG

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Let A(p, n) be the class of f (z) which are analytic p-valent functions in the closed unit disk U = {z ∈ C: |z| ≤ 1}. The expression B-m-λf(z) is defined by using fractional integrals of order l for f (z) ∈ A(p, n). When m = 1 and l = 0, B-1 f (z) becomes Bernardi integral operator. Using the fractional integral B-m-λ f (z), the subclass Tp, n (αs, β, ρ; m, λ) of A(p, n) is introduced. In the present paper, we discuss some interesting properties for f (z) concerning with the class Tp, n (αs, β, ρ; m, λ). Also, some interesting examples for our results will be considered.

Açıklama

WOS:000558043500001

Anahtar Kelimeler

Analytic p-valent function, Bernardi integral operator, Fractional integral, Gamma function, Libera integral operator, Miller-Mocanu lemma

Kaynak

Mathematics

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

8

Sayı

7

Künye

Owa, S. ve Güney, H. Ö. ve (2020). New applications of the Bernardi integral operator. Mathematics, 8(7), 1180.