On a subclass of p-valent analytic functions involving fractional q-calculus operators

被引:1
作者
Purohit, Sunil Dutt [1 ]
Raina, Ravinder Krishna [1 ]
机构
[1] MP Univ Agr & Technol, Coll Technol & Engn, Dept Basic Sci Math, Udaipur 313001, India
关键词
Analytic functions; p-valent functions; fractional q-calculus operators; coefficient bounds; distortion theorems;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we consider a new subclass of p-valent analytic functions in the open unit disk involving a fractional q-differeintegral operator. For this subclass of functions, we derive the coefficient inequality and some distortion theorems. Special cases of the main results are also mentioned.
引用
收藏
页码:1 / 15
页数:15
相关论文
共 9 条
  • [1] Gasper G., 1990, ENCY MATH ITS APPL, VVolume 35
  • [2] Ismail M. E. H., 1994, APPROXIMATION COMPUT, V119, P309, DOI DOI 10.1007/978-1-4684-7415-2_
  • [3] Owa S., 1985, B KOREAN MATH SOC, V22, P101
  • [4] Some classes of analytic and multivalent functions associated with q-derivative operators
    Purohit, S. D.
    Raina, R. K.
    [J]. ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2014, 6 (01) : 5 - 23
  • [5] Purohit S.D., 2012, Fract. Differ. Calc, V2, P129, DOI DOI 10.7153/FDC-02-10
  • [6] Purohit S.D., 2013, Mathematica, V55, P62
  • [7] Purohit SD, 2011, MATH SCAND, V109, P55
  • [8] Raina R. K., 2002, GLAS MAT, V37, P59
  • [9] Shukla S. L., 1984, PURE APPL MATH SCI, V20, P63