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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedLet G be a(p, q) graph. Let f be a map from V(G) to {1, 2, ..., p}. For each edge xy, assign the label [absolute value of f(x) - f(y)]. f is called a difference cordial labeling if f is a one to one map and [absolute...
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedIn this paper we have established two indefinite integrals involving Lucas polynomials, Fibonacci polynomials, Gegenbauer polynomials and Hermite polynomials. The results represent here are assumed to be new....
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedIn this paper, the Smarandache bisymmetric geometric determinant sequence was defined and the formula for its n-th term was obtained. Keywords Smarandache bisymmetric geometric determinant sequence. [section]1....
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedLet [[tau].sup.(e)](n) denote the number of exponential divisor of n. Similar to the generalization from d(n) to [d.sup.k](n), we extended [[tau].sup.(e)](n) to [([[tau].sup.(e).sub.k](n)).sup.k - 1] The aim of this...
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedIn this paper, the notion of Cartesian product of fuzzy SU-ideals and Cartesian product of anti fuzzy SU-ideals on SU-algebra are introduced and some of their properties are investigated. Keywords Cartesian product...
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedThe I-total coloring of a graph G is an assignment of some colors to its vertices and edges such that no two adjacent vertices receive the same color and no two adjacent edges receive the same color. Under an I-total...
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedIn this paper, the eigenvalues and the upper bounds for spectral norm and Euclidean norm of right circulant matrices with sine and cosine sequences were derived. Keywords Circulant matrix, sine and cosine sequences....
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedThe authors investigated the coefficient bounds of the class [T.sup.[alpha].sub.n]([beta]) as related to the class of modified Sigmoid activation functions. Keywords analytic functions, coefficient bounds, Bazilevic...
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedThe terminal Hosoya polynomial of thorn graphs is described. Also the terminal Hosoya polynomial for caterpillars, thorn stars, and thorn rings are obtained. Keywords Terminal Hosoya polynomial, thorn graphs, thorn...
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedIn this paper, we characterise [k.sup.*]-paranormal composition operators and [k.sup.*]-paranormal weighted composition operators and their adjoints in [L.sup.2] spaces. Keywords [k.sup.*]-paranormal operators,...
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedThe objective of this paper is to introduce certain subclass of analytic functions and obtain an upper bound to the second Hankel functional[absolute value of ([a.sup.2][a.sub.4] - [a.sup.3]/2)] for the functions...
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedSuppose that S is a locally inverse semigroup with an inverse transversal S[degrees] In this paper, we first introduce the CS[degrees]-cone of S, which modify the definitions of cone in [3] and S[degrees]-cone in [4]....
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedThe aim of this paper is to introduce the notions of [[lambda].sub.J]-Closed sets in generalized topological spaces and supplement their properties. We also investigate their characterizations. Keywords J-closed set,...
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedIn this paper we establish an identity involving logarithmic derivative of theta function by the theory of elliptic functions. Using these identities we re-deduced some Ramanujan's modular identities from elementary...
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedIn this paper we have developed some indefinite integrals involving inverse Hyperbolic function. The results represent here are assumed to be new. Keywords Hypergeometric function, elliptic integral. 2000...
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedBasing on the priori assumption principle, the main goal of this paper is to propose the rational expansion method that can be used to handle the exact solution of the nonlinear partial differential equation. It is...
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedThis paper deal with the existence and uniqueness of positive solution for the integral boundary value problem [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]. The discussion is based on the method of lower...
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From:Scientia Magna (Vol. 9, Issue 3) Peer-ReviewedIn this paper, we introduced Samarandache-2-algebraic structure of Boolean-near-ring namely Smarandache-Boolean-near-ring. A Samarandache-2-algebraic structure on a set N means a weak algebraic structure [S.sub.1] on N...