NORMALIZED WRIGHT FUNCTIONS WITH NEGATIVE COEFFICIENTS AND SOME OF THEIR INTEGRAL TRANSFORMS

被引:0
|
作者
Mustafa, N. [1 ]
Altintas, O. [2 ]
机构
[1] Kafkas Univ, Dept Math, Kars, Turkey
[2] Baskent Univ, Dept Math, Ankara, Turkey
来源
TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2018年 / 9卷 / 02期
关键词
Wright function; analytic functions; starlike functions; convex functions; integral transforms; HYPERGEOMETRIC-FUNCTIONS; CONVEXITY; STARLIKENESS; UNIVALENCE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of the present paper is to investigate some characterization for the normalized Wright functions to be in the subclass T(alpha, beta)(alpha is an element of [0, 1) , beta is an element of [0,1)) of analytic functions in the open unit disk. Several sufficient conditions were obtained for the parameters of the normalized form of the Wright functions to be in this class. Some geometric properties of integral transforms involving normalized Wright functions are also studied. The results obtained here are new and their usefulness is depicted by deducing several interesting corollaries and examples.
引用
收藏
页码:190 / 206
页数:17
相关论文
共 50 条
  • [31] Integral transforms involving the product of Humbert and Bessel functions and its application
    Belafhal, A.
    Nossir, N.
    Dalil-Essakali, L.
    Usman, T.
    AIMS MATHEMATICS, 2020, 5 (02): : 1260 - 1274
  • [32] On univalent functions with negative coefficients
    Deng, Qin
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (02) : 1675 - 1682
  • [33] A CLASS OF MULTIVALENT ANALYTIC FUNCTIONS WITH FIXED ARGUMENT OF COEFFICIENTS INVOLVING WRIGHT'S GENERALIZED HYPERGEOMETRIC FUNCTIONS
    Sharma, Poonam
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 2 (01): : 56 - 65
  • [34] Integral Transforms with Non-separated Variables and Discontinuous Coefficients
    Yaremko, O. E.
    JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2013, 9 (04) : 594 - 603
  • [35] Some applications of a Wright distribution series on subclasses of univalent functions
    Shrigan, Mallikarjun G.
    Bhourgunde, Sidharam D.
    Shelake, Girish D.
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2024, 69 (04): : 759 - 767
  • [36] On Legendre functions of imaginary degree and associated integral transforms
    Malits, P
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 281 (01) : 205 - 220
  • [37] Quadratures and integral transforms arising from generating functions
    Campos, Rafael G.
    Marcellan, Francisco
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 297 : 8 - 18
  • [38] APPLICATION OF INTEGRAL TRANSFORMS COMPOSITION METHOD (ITCM) TO OBTAINING TRANSMUTATIONS VIA INTEGRAL TRANSFORMS WITH BESSEL FUNCTIONS IN KERNELS
    Shishkina, E. L.
    Sitnik, S. M.
    Jebabli, I.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2021, 18 (02): : 884 - 900
  • [39] FRACTIONAL CALCULUS AND CERTAIN STARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS
    ALTINTAS, O
    IRMAK, H
    SRIVASTAVA, HM
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 30 (02) : 9 - 15
  • [40] Modified Special Functions: Properties, Integral Transforms and Applications to Fractional Differential Equations
    Ata, Enes
    Kiymaz, I. Onur
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42