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Publication Date
Thu Nov 30 2023
Journal Name
Iraqi Journal Of Science
Volume
64
Issue Number
11
DOI
10.24996/ijs.2023.64.11.29
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Articles
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ijs-8577
The Generalized Homogeneous q-Shift Operator _r Φ_s (D_xy ) for q-Identities and q-Integrals
homogeneous q-shift operator
Hiene's transformation
Jackson's transformation
q-hypergeometric polynomials
generating function
Rogers formula
Srivastava-Agarwal generating function
Askey-Wilson integral
Andrews-Askey q-integral
Samaher A.
Husam L.
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In this paper, we illustrate how to use the generalized homogeneous -shift operator  in generalizing various well-known q-identities, such as Hiene's transformation, the q-Gauss sum, and Jackson's transfor- mation. For the polynomials , we provide another formula for the generating function, the Rogers formula, and the bilinear generating function of the Srivastava-Agarwal type. In addition, we also generalize the extension of both the Askey-Wilson integral and the Andrews-Askey integral.

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Scopus Crossref
Publication Date
Tue Aug 31 2021
Journal Name
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Soft Continuous Mappings in Soft Closure Spaces
Soft closure operator
soft closure space
closed soft set
product of soft closure spaces
soft continuous mapping
soft closed mapping
soft projection mapping
S. T.
R. N.
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Soft closure spaces are a new structure that was introduced very recently. These new spaces are based on the notion of soft closure operators. This work aims to provide applications of soft closure operators. We introduce the concept of soft continuous mappings and soft closed (resp. open) mappings, support them with examples, and investigate some of their properties.

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Scopus (3)
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Publication Date
Mon Aug 16 2021
Journal Name
Al-qadisiyah Journal Of Pure Science
Pairwise Lower Separation Axioms in C ̌ech Fuzzy Soft Bi-Closure Spaces
Fuzzy soft set
fuzzy soft closure operator
closed fuzzy soft set
fuzzy soft bitopological space
pairwise 〖 T〗_0
pairwise T_1
pairwise〖 T〗_2
pairwise semi〖 T〗_2
pairwise pseudo〖 T〗_2
pairwise Uryshon 〖 T〗_2.
Mohamad Th.
R. N.
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The idea of ech fuzzy soft bi-closure space ( bicsp) is a new one, and its basic features are defined and studied in [1]. In this paper, separation axioms, namely pairwise, , pairwise semi-(respectively, pairwise pseudo and pairwise Uryshon) - fs bicsp's are introduced and studied in both ech fuzzy soft bi-closure space and their induced fuzzy soft bitopological spaces. It is shown that hereditary property is satisfied for , with respect to ech fuzzy soft bi-closure space but for other mentioned types of separations axioms, hereditary property satisfies for closed subspaces of ech fuzzy soft bi-closure space.

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