SOME PROPERTIES FOR SPIRALLIKE FUNCTIONS INVOLVING GENERALIZED q-INTEGRAL OPERATOR

被引：0

作者：

Altinkaya, Sahsene ^{[1
]}

Cetinkaya, Asena ^{[2
]}

机构：

[1] Istanbul Beykent Univ, Fac Arts & Sci, Dept Math, TR-34500 Istanbul, Turkiye

[2] Istanbul Kultur Univ, Dept Math & Comp Sci, Istanbul, Turkiye

来源：

HONAM MATHEMATICAL JOURNAL | 2023年 / 45卷 / 04期

关键词：

spirallike function; subordination; q-integral operator;

D O I：

10.5831/HMJ.2023.45.4.689

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we establish a new subfamily of spirallike functions by making use of a generalized q-integral operator. We examine characterization rule for functions which are member of this subclass. We further obtain coefficient estimate, subordination results and integral mean inequalities for functions in this class. The Fekete-Szego center dot inequalities are also derived.

引用

页码：689 / 700

页数：12

共 17 条

[1] CONVEX AND STARLIKE UNIVALENT FUNCTIONS
BERNARDI, SD
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 135 (JAN) : 429 - &
[2] Fekete M., 1933, J. London Math. Soc., V8, P85, DOI [10.1112/jlms/s1-8.2.85, DOI 10.1112/JLMS/S1-8.2.85]
[3] Gasper G., 2004, BASIC HYPERGEOMETRIC, V96
[4] Graham I., 2003, GEOMETRIC FUNCTION T
[5] Jackson F. H., 1910, Appl. Math, V41, P193, DOI DOI 10.1017/S0080456800002751
[6] Jackson F. H., 1909, Trans. R. Soc. Edinb., V46, P253, DOI [DOI 10.1017/S0080456800002751, 10.1017/s0080456800002751, 10.1017/S0080456800002751]
[7] UNIVALENT ALPHA-SPIRAL FUNCTIONS
LIBERA, RJ
[J]. CANADIAN JOURNAL OF MATHEMATICS, 1967, 19 (03): : 449 - &
[8] On inequalities in the theory of functions
Littlewood, JE
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1925, 23 : 481 - 519
[9] Geometric Properties of Certain Classes of Analytic Functions Associated with a q-Integral Operator
Mahmood, Shahid
Raza, Nusrat
AbuJarad, Eman S. A.
Srivastava, Gautam
Srivastava, H. M.
Malik, Sarfraz Nawaz
[J]. SYMMETRY-BASEL, 2019, 11 (05):
[10] Nehari Z., 1952, CONFORMAL MAPPING

← 1 2 →