DERIVATION OF SOME CONSEQUENCES OF TAYLOR’S THEOREM - A BICOMPLEXIAL APPROACH
By
Debasmita Dutta1, Satavisha Dey2, Sukalyan Sarkar3 and Sanjib Kumar Datta4
1Department of Mathematics, Lady Brabourne College, P-1/2 Suhrawardy Avenue, Benipukur, Dist
Kolkata-700001, West Bengal, India
2Department of Mathematics, Vedanta College, 33A, ShibKristoDaw Lane, Phoolbagan, West Bengal-700054, India
3Department of Mathematics, Dukhulal Nibaran Chandra College, P.O - Aurangabad, Dist - Murshidabad,
West Bengal-742201, India
4Department of Mathematics, University of Kalyani, P.O - Kalyani, Dist - Nadia, West Bengal-741235, India.
Email:debasmita.dut@gmail.com, itzmesata@gmail.com, sukalyanmath.knc@gmail.com, sanjibdatta05@gmail.com
(Received: August 01, 2021; In format: November 03, 2021; Revised: November 22, 2021;
In final form : December 29, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51233
Abstract
In this paper we would like to derive some consequences of Taylor’s theorem as carried in [5] using bicomplexial approach. Results on removable singulaties of bicomplex valued functions are also proved here. Further, applying Taylor’s series expansion we also deduce the bicomplex version of Schwarz’s Lemma and Borel Carathedory Theorem.
2010 Mathematics Subject Classification: 30D30, 30G35
Keywords and Phrases: Bicomplex valued function, Analytic function, Taylor’s Theorem, Removable Singularity, Schwarz’s Lemma and Borel Carathedory Theorem.