Open AccessCertain subclasses of analytic functions associated with fractional $q$-calculus operators
Author(s) -
Sunıl Dutt Purohıt,
R. K. Raina
Publication year - 2011
Publication title -
mathematica scandinavica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.553
H-Index - 30
eISSN - 1903-1807
pISSN - 0025-5521
DOI - 10.7146/math.scand.a-15177
Subject(s) - mathematics , analytic function , fractional calculus , calculus (dental) , algebra over a field , global analytic function , distortion (music) , pure mathematics , special functions , mathematical analysis , medicine , amplifier , dentistry , cmos , electronic engineering , engineering
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.