DSpace Collection:http://localhost:80/xmlui/handle/123456789/272026-04-08T12:32:01Z2026-04-08T12:32:01ZA NOTE ON INFINITE PRODUCT OF BICOMPLEX NUMBERSDUTTA, DEBASMITADEY, SATAVISHASARKAR, SUKALYANDATTA, SANJIB KUMARhttp://localhost:80/xmlui/handle/123456789/1332021-09-18T11:05:41Z2021-09-18T00:00:00ZTitle: A NOTE ON INFINITE PRODUCT OF BICOMPLEX NUMBERS
Authors: DUTTA, DEBASMITA; DEY, SATAVISHA; SARKAR, SUKALYAN; DATTA, SANJIB KUMAR
Abstract: A necessary and su cient condition for the General principle of
convergence of in nite product of bicomplex number is derived in this paper.We
also prove here some of its consequences.Several examples have been provided
to ensure the validity of the theorems proved.2021-09-18T00:00:00ZBicomplex Version of Some Well Known Results in Complex AnalysisDutta, DebasmitaDey, SatavishaSarkar, Sukalyanhttp://localhost:80/xmlui/handle/123456789/1322021-09-18T10:59:12Z2021-09-18T00:00:00ZTitle: Bicomplex Version of Some Well Known Results in Complex Analysis
Authors: Dutta, Debasmita; Dey, Satavisha; Sarkar, Sukalyan
Abstract: In this paper, we explore for the bicomplex version of the well
known Hadamard’s three circles theorem in complex analysis and also deduce
its convex form. Also, the relation between zeros and poles of a
bicomplex valued function is established. Moreover the Jenson’s Inequality
as well as some results on univalent functions are proved here in the
bicomplex context.2021-09-18T00:00:00ZRELATIVE ORDER CONCERNING ENTIRE FUNCTIONS OF SEVERAL COMPLEX VARIABLESDatta, Sanjib KumarBiswas, TanmayDutta, DebasmitaZ., Ahsanhttp://localhost:80/xmlui/handle/123456789/1312021-09-18T10:46:36Z2021-09-18T00:00:00ZTitle: RELATIVE ORDER CONCERNING ENTIRE FUNCTIONS OF SEVERAL COMPLEX VARIABLES
Authors: Datta, Sanjib Kumar; Biswas, Tanmay; Dutta, Debasmita; Z., Ahsan
Abstract: In this paper we discuss some growth rates of entire functions of several complex
variables on the basis of the definition of relative order and relative lower order of entire functions
of several complex variables.2021-09-18T00:00:00ZA NOTE ON GAMMA FUNCTION UNDER THE TREATMENT OF BICOMPLEX ANALYSISDUTTA, DEBASMITADEY, SATAVISHASARKAR, SUKALYAhttp://localhost:80/xmlui/handle/123456789/1302021-09-18T10:38:44Z2021-09-18T00:00:00ZTitle: A NOTE ON GAMMA FUNCTION UNDER THE TREATMENT OF BICOMPLEX ANALYSIS
Authors: DUTTA, DEBASMITA; DEY, SATAVISHA; SARKAR, SUKALYA
Abstract: In complex analysis Gamma function de ned by a convergent im-
proper integral
(z) =
1Z
0
xz1exdx;
z being a complex number with a positive real part. Gamma function is the
commonly used extension of the factorial function to complex numbers.The
analytic continuation of this integral function to a meromorphic function that is
holomorphic in the whole complex plane except zero and non negative integers.
In this paper our main aim is to derive the bicomplex version of Gamma
function supported by relevant examples and some of its related properties,
mostly with the help of idempotent representation and Ringleb decomposition
of bicomplex numbers and bicomplex valued functions.2021-09-18T00:00:00Z