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Firas Ghanim,Belal Batiha 경남대학교 수학교육과 2018 Nonlinear Functional Analysis and Applications Vol.23 No.3
The Hadamard product is employed in this study to describe a new class of analytic functions that include linear operator. Some of the properties related to this new class are also investigated. In the second result of this paper, applications on hypergeometric functions that employ the popular hypergeometric functions with the operator are included as well as achievement of some new results.
On the linear equivalence of sequences in Hilbert spaces
Tariq Qawasmeh,Raed Hatamleh,Belal Batiha,Ahmed Heilat 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.2
A similarity transformation of a solution of the Cauchy problem for the linear difference equation in Hilbert space has been studied. In this manuscript, we obtain necessary and sufficient conditions for linear equivalence of the discrete semigroup of operators, generated by the solution of the difference equation utilizing four Canonical semigroups.