Applications of fractional derivatives for Alexander integral operator
[ X ]
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let T-n be the class of functions f (z) = z + a(n+1)z(n+1) + a(n+2)z(n+2) +... that are analytic in the closed unit disc U. With m different boundary points z(s), (s = 1, 2,..., m), we consider alpha(m) is an element of e(i beta) A(j+lambda) f (U), here A(j+lambda) is given by using fractional derivatives Dj+lambda f (z) for f (z) is an element of T-n. Using A(j+lambda), we introduce a subclass P-n(alpha(m), beta, rho; j, lambda) of T-n. The main goal of our paper is to discuss some interesting results of f (z) in the class P-n(alpha(m), beta, rho; j, lambda).
Açıklama
Anahtar Kelimeler
Analytic Function, Alexander Integral Operator, Fractional Derivative, Fractional Integral, Gamma Function, Miller And Mocanu Lemma
Kaynak
Afrika Matematika
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
32
Sayı
3-4
