9 citations · 11 across the 9 of their papers we have counts for
10 papers
Fuzzy Set with Hyperbolic Valued Membership Function
Chinmay Ghosh, Sanjib Kumar Datta, Soumen Mondal
In this article, we have introdued D-fuzzy sets. We have discussed the notions of inclusion, union, intersection, complementation and convexity of such D-fuzzy sets. Also we have p…
Integration of Bicomplex Valued Function along Hyperbolic Curve
Chinmay Ghosh, Soumen Mondal
In this paper, we have defined bicomplex valued functions of bounded variations and rectifiable hyperbolic path. We have studied the integration of product-type bicomplex functions…
Growth of Solutions of Linear Difference Equations with Meromorphic Coefficients in Terms of Iterated p-phi Order
Anirban Bandyopadhyay, Chinmay Ghosh, Sanjib Kumar Datta
In this article we have studied complex linear homogeneous difference equations where the coefficients are meromorphic functions, having finite iterated p-phi order. We have made s…
Meromorphic Solutions of Homogeneous and Non-homogeneous Higher Order Linear Difference Equations in Terms of (p,q)-Order
Subhadip Khan, Chinmay Ghosh, Sanjib Kumar Datta
In this paper we investigate the growth of meromorphic solutions of homogeneous and non-homogeneous linear difference equations with entire or meromorphic coefficients. We further…
On the growth of meromorphic solutions of homogeneous and non-homogeneous linear difference equations in terms of (p,q)-order
Chinmay Ghosh, Subhadip Khan, Anirban Bandyopadhyay
In this paper we have studied the growth of meromorphic solutions of higher order homogeneous and non-homogeneous linear difference equations with entire and meromorphic coefficien…
On Topological Bihyperbolic Modules
Soumen Mondal, Chinmay Ghosh, Sanjib Kumar Datta
In this paper we introduce topological modules over the ring of bihyperbolic numbers. We discuss bihyperbolic convexity, bihyperbolic-valued seminorms and bihyperbolic-valued Minko…
Hyperbolic Valued Metric Space
Chinmay Ghosh, Anirban Bandyopadhyay, Soumen Mondal
In this paper our main aim is to develop some basic properties of hyperbolic valued metric spaces. We also establish the hyperbolic version of Banach contraction principle. Further…
Bicomplex Version of Lebesgue's Dominated Convergence Theorem and Hyperbolic Invariant Measure
Chinmay Ghosh, Soumen Mondal
In this article we have studied bicomplex valued measurable functions on an arbitrary measurable space. We have established the bicomplex version of Lebesgue's dominated convergenc…
Bicomplex Mobius Transformation
Chinmay Ghosh
In this article the bicomplex version of Mobius transformation is defined and special attention is paid to find the fixed points of a bicomplex Mobius transformation.
Infinite Product of Bicomplex Numbers
Chinmay Ghosh
In this article the infinite product of bicomplex numbers is defined and the convergence and divergence of this product are discussed.