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Patrick Njionou Sadjang 대한수학회 2018 대한수학회지 Vol.55 No.5
Several addition formulas for a general class of $q$-Appell sequences are proved. The $q$-addition formulas, which are derived, involved not only the generalized $q$-Bernoulli, the generalized $q$-Euler and the generalized $q$-Genocchi polynomials, but also the $q$-Stirling numbers of the second kind and several general families of hypergeometric polynomials. Some $q$-umbral calculus generalizations of the addition formulas are also investigated.
Sadjang, Patrick Njionou Korean Mathematical Society 2018 대한수학회지 Vol.55 No.5
Several addition formulas for a general class of q-Appell sequences are proved. The q-addition formulas, which are derived, involved not only the generalized q-Bernoulli, the generalized q-Euler and the generalized q-Genocchi polynomials, but also the q-Stirling numbers of the second kind and several general families of hypergeometric polynomials. Some q-umbral calculus generalizations of the addition formulas are also investigated.
Application of soft sets theory to multilattices
Kouankam Djouohou Lea Aubin,Koguep Njionou Blaise Bleriot,Lele Celestin 원광대학교 기초자연과학연구소 2023 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.26 No.3
Multilattices generalize lattices by replacing the axiom of existence of a least upper bound for two elements by the set of minimal upper bounds and dually. In this work, we use multilattice as the universe set in soft sets theory. The notions of $f$-soft multilattice, $r$-soft multilattice, soft ideal, soft filter, idealistic multilattice are defined and several related properties are investigated.
State relative annihilators in state residuated lattices
F. Woumfo,A. G. Tallee Kakeu,B. B. Koguep Njionou,C. Lele 원광대학교 기초자연과학연구소 2023 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.26 No.1
The main purpose of this paper is to introduce and study the notion of state relative annihilator in the framework of state residuated lattices (SRLs), along with some related properties. We show that this concept of state relative annihilator in SRLs is a generalization of the existing one in De Morgan state residuated lattices. Among many other results, we prove that state relative annihilators are a particular type of state ideals of state residuated lattices. Furthermore, we establish some links between state-morphism operators and annihilators in state residuated lattices.