A New Theoretical Investigation of the Generalized Formulations of Spirallike Functions Geetha Balachandar, Mohammed K. A. Kaabar, Charles Robert Kenneth, Kins Yenoke Mathematical Problems in Engineering, 2022 In this study, the idea of q -calculus is applied to define new classes of spirallike functions α − UCSPT q , ϕ , δ and α − S P p T q , ϕ , δ . The coefficient inequalities, rotational invariance, and containment results are proved for these classes. Further, by introducing a parameter β , two more subclasses are defined and their properties are investigated. Finally, we have probed into these classes by fixing finitely several coefficients.
On a class of spirallike functions associated with a fractional calculus operator KUPPATHAI APPASAMY SELVAKUMARAN, GEETHA BALACHANDAR, PUGAZHENTHI RAJAGURU Kyungpook Mathematical Journal, 2015 In this article, by making use of a linear multiplier fractional differential operator , we introduce a new subclass of spiral-like functions. The main object is to provide some subordination results for functions in this class. We also find sufficient conditions for a function to be in the class and derive Fekete- inequalities.
RECENT SCHOLAR PUBLICATIONS
Contemporary studies on typical group of spirallike functions G Balachandar INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN MATHEMATICS AND COMPUTATIONAL … , 2023 2023
Research Article A New Theoretical Investigation of the Generalized Formulations of Spirallike Functions G Balachandar, MKA Kaabar, CR Kenneth, K Yenoke 2022
A new theoretical investigation of the generalized formulations of spirallike functions G Balachandar, MKA Kaabar, CR Kenneth, K Yenoke Mathematical Problems in Engineering 2022 (1), 5361581 , 2022 2022 Citations: 1
Fixed coefficients for A subclass of spirallike functions with negative coefficients G Balachandar NOVYI MIR Research Journal 5, 171-175 , 2020 2020 Citations: 3
Certain subclasses of uniformly spirallike functions associated with the gaussian hypergeometric functions G Balachandar Arya Bhatta Journal of Mathematics and Informatics 12 (1), 73-80 , 2020 2020
Certain Properties of a Subclass of Uniformly Spirallike Functions G Balachandar International Conference on Mathematical Analysis and Computing, 105-112 , 2019 2019
A new subclass of uniformly spirallike functions with fixed coefficients G Balachandar Communications Faculty of Sciences University of Ankara Series A1 … , 2019 2019 Citations: 1
IJMTT Call for Paper October-2022 G Balachandar, P Hema 2018
IJMTT Call for Paper September-2022 G Balachandar, P Hema 2018
Fixed coefficients for a subclass of spirallike functions G Balachandar, P Hema International Journal of Mathematics Trends and Technology-IJMTT 58 , 2018 2018 Citations: 2
IJMTT Call for Paper September-2022 VVS Ramachandram, BS Rao 2016
CERTAIN PROPERTIES OF A SUBCLASS OF UNIVALENT FUNCTIONS R Geetha, AAJ Pamela, C Selvaraj Far East Journal of Mathematical Sciences 96 (4), 475 , 2015 2015
COEFFICIENT INEQUALITIES FOR A CLASS OF p-VALENT ANALYTIC FUNCTIONS DEFINED BY USING FRACTIONAL CALCULUS OPERATORS KA Selvakumaran, G Balachandar, P Rajaguru Far East Journal of Mathematical Sciences 96 (4), 463 , 2015 2015
On a Class of Spirallike Functions associated with a Fractional Calculus Operator KA Selvakumaran, G Balachandar, P Rajaguru Kyungpook Mathematical Journal 55 (4), 953-967 , 2015 2015
Asymptotic behavior of solutions for forced non linear delay impulsive differential equations Y Balachandran, G Purushothaman International Journal of Mathematics Trends and Technology-IJMTT 9 , 2014 2014 Citations: 3
Fixed coefficients for a new subclass of uniformly spirallike functions G Balachandar Acta Universitatis Apulensis, 233-243 , 2014 2014 Citations: 3
Fekete-Szegö problem for a subclass of Analytic Functions CSR Geetha International Journal of Pure and Applied Mathematical Sciences 6 (5), 443-554 , 2013 2013
On certain subclasses of holomoprhic functions defined on the unit disk C Selvaraj, R Geetha Acta Universitatis Apulensis, 225-233 , 2013 2013 Citations: 2
Certain subclasses of analytic functions associated with the Gaussian hypergeometric functions CSR Geetha Far East J. Appl. Math., 53 (1), 43-52 , 2011 2011
On uniformly spriallike functions and a corresponding subclass of spirallike functions O functions Glo. J. Sci. Front. Res., 10 (5), 36-41 , 2010 2010 Citations: 12
MOST CITED SCHOLAR PUBLICATIONS
On subclasses of uniformly convex spirallike functions and corresponding class of spirallike functions CSR Geetha Inter. J. Contem. Math. Sci., 5 (37), 1845–1854 , 2010 2010 Citations: 37
On uniformly spriallike functions and a corresponding subclass of spirallike functions O functions Glo. J. Sci. Front. Res., 10 (5), 36-41 , 2010 2010 Citations: 12
Fixed coefficients for A subclass of spirallike functions with negative coefficients G Balachandar NOVYI MIR Research Journal 5, 171-175 , 2020 2020 Citations: 3
Asymptotic behavior of solutions for forced non linear delay impulsive differential equations Y Balachandran, G Purushothaman International Journal of Mathematics Trends and Technology-IJMTT 9 , 2014 2014 Citations: 3
Fixed coefficients for a new subclass of uniformly spirallike functions G Balachandar Acta Universitatis Apulensis, 233-243 , 2014 2014 Citations: 3
Fixed coefficients for a subclass of spirallike functions G Balachandar, P Hema International Journal of Mathematics Trends and Technology-IJMTT 58 , 2018 2018 Citations: 2
On certain subclasses of holomoprhic functions defined on the unit disk C Selvaraj, R Geetha Acta Universitatis Apulensis, 225-233 , 2013 2013 Citations: 2
A new theoretical investigation of the generalized formulations of spirallike functions G Balachandar, MKA Kaabar, CR Kenneth, K Yenoke Mathematical Problems in Engineering 2022 (1), 5361581 , 2022 2022 Citations: 1
A new subclass of uniformly spirallike functions with fixed coefficients G Balachandar Communications Faculty of Sciences University of Ankara Series A1 … , 2019 2019 Citations: 1
Contemporary studies on typical group of spirallike functions G Balachandar INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN MATHEMATICS AND COMPUTATIONAL … , 2023 2023
Research Article A New Theoretical Investigation of the Generalized Formulations of Spirallike Functions G Balachandar, MKA Kaabar, CR Kenneth, K Yenoke 2022
Certain subclasses of uniformly spirallike functions associated with the gaussian hypergeometric functions G Balachandar Arya Bhatta Journal of Mathematics and Informatics 12 (1), 73-80 , 2020 2020
Certain Properties of a Subclass of Uniformly Spirallike Functions G Balachandar International Conference on Mathematical Analysis and Computing, 105-112 , 2019 2019
IJMTT Call for Paper October-2022 G Balachandar, P Hema 2018
IJMTT Call for Paper September-2022 G Balachandar, P Hema 2018
IJMTT Call for Paper September-2022 VVS Ramachandram, BS Rao 2016
CERTAIN PROPERTIES OF A SUBCLASS OF UNIVALENT FUNCTIONS R Geetha, AAJ Pamela, C Selvaraj Far East Journal of Mathematical Sciences 96 (4), 475 , 2015 2015
COEFFICIENT INEQUALITIES FOR A CLASS OF p-VALENT ANALYTIC FUNCTIONS DEFINED BY USING FRACTIONAL CALCULUS OPERATORS KA Selvakumaran, G Balachandar, P Rajaguru Far East Journal of Mathematical Sciences 96 (4), 463 , 2015 2015
On a Class of Spirallike Functions associated with a Fractional Calculus Operator KA Selvakumaran, G Balachandar, P Rajaguru Kyungpook Mathematical Journal 55 (4), 953-967 , 2015 2015
Fekete-Szegö problem for a subclass of Analytic Functions CSR Geetha International Journal of Pure and Applied Mathematical Sciences 6 (5), 443-554 , 2013 2013
GRANT DETAILS
STUDIES ON A NEW SUBCLASS OF SPIRALLIKE FUNCTIONS
Funding Agency : NATIONAL BOARD FOR HIGHER MATHEMATICS
Rs. 150000
Project Completed 2017-2020