A Study of Multivalent q-starlike Functions Connected with Circular Domain

Abstract

In the present article, our aim is to examine some useful problems including the convolution problem, sufficiency criteria, coefficient estimates and Fekete-Szegö type inequalities for a new subfamily of analytic and multivalent functions associated with circular domain. In addition, we also define and study a Bernardi integral operator in its q-extension for multivalent functions.

Some Applications of a New Integral Operator in q-Analog for Multivalent Functions

“…Quantum calculus is considered as one of the most active research areas in mathematics and physics. For more details, please refer to [22,[36][37][38][39][40][41].…”

“…Recently, new thoughts by Maslina in [17] were used to create a novel differential operator called generalized q-differential operator with the help of q-hypergeometric functions where the authors conducted an in-depth study of applications of this operator. For further information on the extensions of different operators in q-analog, we direct the readers to [18][19][20][21][22]. The aim of the present article is to introduce a new integral operator in q-analog for multivalent functions using Hadamard product and then study some of its useful applications.…”

Some Janowski Type Harmonic q-Starlike Functions Associated with Symmetrical Points

“…They made significant contributions which gradually enhanced the attractiveness of this research area for potential researchers. For more literature on quantum calculus, see [17][18][19][20][21][22][23][24][25].…”

Janowski Type q-Convex and q-Close-to-Convex Functions Associated with q-Conic Domain

“…Later, q-analysis with geometrical interpretation was turned into identified through quantum groups. Due to the applications of q-analysis in mathematics and other fields, numerous researchers [3,[5][6][7][8][9][10][11][12][13][14] did some significant work on q-calculus and studied its several other applications. Recently, Srivastava [15] in his survey-cum-expository article, explored the mathematical application of q-calculus, fractional qcalculus and fractional q-differential operators in geometric function theory.…”