Open AccessA new class of harmonic functions associated with a (p,q)-Ruscheweyh operator
Author(s) -
Omendra Mishra,
AUTHOR_ID,
Poonam Sharma,
AUTHOR_ID
Publication year - 2022
Publication title -
bulletin of the "transilvania" university of braşov. series iii, mathematics and computer science
Language(s) - English
Resource type - Journals
eISSN - 2810-2037
pISSN - 2810-2029
DOI - 10.31926/but.mif.2021.1.63.2.8
Subject(s) - mathematics , extreme point , convexity , convolution (computer science) , subclass , class (philosophy) , operator (biology) , harmonic function , pure mathematics , convex function , harmonic , univalent function , analytic function , combinatorics , regular polygon , repressor , artificial intelligence , chemistry , computer science , financial economics , antibody , biology , biochemistry , geometry , quantum mechanics , machine learning , artificial neural network , transcription factor , immunology , physics , economics , gene
With the use of post-quantum or (p; q)-calculus, in this paper we define a new class S0H (n; p; q; ) of certain harmonic functions f 2 S0H associated with a (p; q)-Ruscheweyh operator Rn p;q: or functions in this class, we obtain a necessary and sufficient convolution condition. A sufcient coeffcient inequality is given for functions f 2 S0H (n; p; q; ). It is proved that this coeffcient uality necessary for functions in its subclass TS0H (n; p; q; ): Certain properties such as convexity, compactness and results on bounds, extreme points are also derived for functions in the subclass H(n; p; q; ).