AN INVESTIGATION ON GEOMETRIC PROPERTIES OF ANALYTIC FUNCTIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS EXPRESSED BY HYPERGEOMETRIC FUNCTIONS
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Honam Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper aims to investigate characterizations on parameters k(1), k(2), k(3), k(4), k(5), l(1), l(2), l(3), and l(4) to find relation between the class of H(k, l, m, n, o) hypergeometric functions defined by F-5(4) [(l1, l2, l3, l4) (k1, k2, k3, k4, k5,) : z] = Sigma(infinity)(n=2) (k(1))(n) (k(2))(n) (k(3))(n) (k(4))(n) (k(5))(n)/(l(1))(n) (l(2))(n) (l(3))(n) (l(4))(n) (1)(n) z(n). We need to find k, l, m and n that lead to the necessary and sufficient condition for the function zF([W]), G = z(2 - F ([W])) and H-1[W] =z(2) d/dz (ln(z) - h(z)) to be in S*(2(-r)), r is a positive integer in the open unit disc D = {z : vertical bar z vertical bar < 1, z is an element of C} with h(z) = Sigma(infinity)(n=0) (k)(n)(l)(n)(m)(n)(n)(n) (1 + k/2)(n)/(k/2)(n)(1 + k - l)(n) (1 + k - m)(n) (1 + k - n)(n)n(1)(n) z(n) and [W] = [(k/2, 1 + k -l, 1 + k - m, 1 + k - n) (k, 1 + k/2, l,) (m, n) :z].
Açıklama
Anahtar Kelimeler
Convex Function; Hypergeometric Function; Starlike Function; Uniformly Convex Functions; Univalent Function, Univalent
Kaynak
Honam Mathematical Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
44
Sayı
1
