Certain subclasses of analytic functions associated with fractional q-calculus operators

@article{Purohit2011CertainSO,
  title={Certain subclasses of analytic functions associated with fractional q-calculus operators},
  author={S. D. Purohit and R. Raina},
  journal={Mathematica Scandinavica},
  year={2011},
  volume={109},
  pages={55-70}
}
  • S. D. Purohit, R. Raina
  • Published 2011
  • Mathematics
  • Mathematica Scandinavica
  • We first define the $q$-analogue operators of fractional calculus which are then used in defining certain classes of functions analytic in the open disk. The results investigated for these classes of functions include the coefficient inequalities and some distortion theorems. The results provide extensions of various known results in the $q$-theory of analytic functions. Special cases of our results are pointed out briefly. 
    50 Citations
    Certain classes of analytic functions defined by fractional q-calculus operator
    • 3
    • PDF
    Some classes of analytic and multivalent functions associated with q-derivative operators
    • 4
    • PDF
    On a subclass of p-valent analytic functions involving fractional q-calculus operators
    • 4
    Subclasses of Starlike Functions Associated with Fractional -Calculus Operators
    • 4
    • Highly Influenced
    • PDF
    Harmonic univalent functions defined by q-calculus operators
    • 7
    • PDF